<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Joseph Mouallem</title><link>https://josephmouallem.github.io/</link><atom:link href="https://josephmouallem.github.io/index.xml" rel="self" type="application/rss+xml"/><description>Joseph Mouallem</description><generator>Wowchemy (https://wowchemy.com)</generator><language>en-us</language><lastBuildDate>Thu, 01 Jan 2026 00:00:00 +0000</lastBuildDate><image><url>https://josephmouallem.github.io/media/icon_hu08dff4d70575caa8b25c1fc7498ce3a4_155912_512x512_fill_lanczos_center_3.png</url><title>Joseph Mouallem</title><link>https://josephmouallem.github.io/</link></image><item><title>The Duo-Grid and Cubed-Sphere Grid Imprinting</title><link>https://josephmouallem.github.io/research/duo-grid/</link><pubDate>Fri, 01 Dec 2023 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/research/duo-grid/</guid><description>&lt;h2 id="motivation">Motivation&lt;/h2>
&lt;p>Addressing the challenge of running localized high-resolution simulations within a global model, the duo-grid imprints a finer mesh over a region of interest, reducing computational cost by an order of magnitude compared to traditional regridding approaches.&lt;/p>
&lt;h2 id="the-problem-grid-imprinting">The problem: grid imprinting&lt;/h2>
&lt;p>The gnomonic cubed-sphere grid has excellent accuracy and uniformity, but the
coordinates have a &lt;em>kink&lt;/em> at the cube edges. In the halo region this kink leaves
a visible imprint of the cube in the solution and requires special edge handling
throughout the solver.&lt;/p>
&lt;h2 id="the-duo-grid">The Duo-Grid&lt;/h2>
&lt;p>To reduce grid imprinting, we implemented the novel &lt;strong>Duo-Grid&lt;/strong> within FV3. The
Duo-Grid remaps a cube face&amp;rsquo;s data from the neighboring face, moving it from the
kinked locations to natural locations along great circle lines using 1D piecewise
linear interpolation. A separate 2D interpolation algorithm fills the correct
data at the eight corners of the cubed-sphere, which FV3&amp;rsquo;s 2D advection scheme
requires.&lt;/p>
&lt;figure id="figure-c8-cubed-sphere-grid-with-a-three-cell-halo-left-kinked-grid-showing-halo-updated-directly-from-the-neighboring-face-right-extended-grid-for-the-forward-face-showing-data-remapped-onto-the-extended-grid-note-that-the-great-circle-coordinate-lines-extend-from-the-compute-domain-into-the-grid-halo-without-interruption">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="C8 cubed-sphere grid with a three-cell halo. Left: “kinked” grid showing halo updated directly from the neighboring face. Right: “extended” grid for the forward face showing data remapped onto the extended grid. Note that the great circle coordinate lines extend from the compute domain into the grid halo without interruption.." srcset="
/research/duo-grid/kinkduo_hu991c969fceccc36c33cc2c4f9f4ef4a6_1703638_58fa206ca97810c362146ab001273d53.webp 400w,
/research/duo-grid/kinkduo_hu991c969fceccc36c33cc2c4f9f4ef4a6_1703638_35864ebbdbeb29c314f435f578bcbd75.webp 760w,
/research/duo-grid/kinkduo_hu991c969fceccc36c33cc2c4f9f4ef4a6_1703638_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/duo-grid/kinkduo_hu991c969fceccc36c33cc2c4f9f4ef4a6_1703638_58fa206ca97810c362146ab001273d53.webp"
width="760"
height="428"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
C8 cubed-sphere grid with a three-cell halo. Left: “kinked” grid showing halo updated directly from the neighboring face. Right: “extended” grid for the forward face showing data remapped onto the extended grid. Note that the great circle coordinate lines extend from the compute domain into the grid halo without interruption..
&lt;/figcaption>&lt;/figure>
&lt;h2 id="validation">Validation&lt;/h2>
&lt;p>The Duo-Grid was evaluated across a comprehensive suite of idealized test cases spanning both two-dimensional shallow-water dynamics and three-dimensional hydrostatic and non-hydrostatic flows. These tests were designed to assess the impact of the Duo-Grid on grid imprinting, numerical errors, and the overall behavior of the FV3 dynamical core.&lt;/p>
&lt;p>The steady-state geostrophic balance test provides a direct assessment of cubed-sphere grid imprinting. When the flow is oriented perpendicular to the cubed-sphere edges, the conventional kinked grid produces errors aligned with the cube geometry. With the Duo-Grid, these grid-aligned errors are substantially reduced.&lt;/p>
&lt;figure class="video-figure">
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&lt;/video>
&lt;figcaption>Meridional velocity errors of the C48 steady state geostrophic balance flow with a flow oriented perpendicular to the cubed-sphere edges. Duo-Grid significantly reduces these errors.&lt;/figcaption>
&lt;/figure>
&lt;p>The improvement extends to fully three-dimensional dynamics. In the baroclinic wave test, the Duo-Grid suppresses the development of cubed-sphere imprinting and errors in the southern hemisphere while maintaining the evolution of the solution over time.&lt;/p>
&lt;figure class="video-figure">
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&lt;figcaption>Time evolution of meridional winds in the three-dimensional baroclinic wave test, demonstrating the reduced cubed-sphere errors in the southern hemisphere with the Duo-Grid.&lt;/figcaption>
&lt;/figure>
&lt;p>The Duo-Grid was further evaluated using a broad suite of standard idealized tests, including shallow-water steady-state geostrophic flow, the splash test, Rossby–Haurwitz wave, colliding modons, cosine-bell advection, and the three-dimensional non-hydrostatic baroclinic wave.&lt;/p>
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&lt;/video>
&lt;figcaption>Idealized test suite run on the Duo-Grid: shallow-water steady-state geostrophic flow, splash test, Rossby-Haurwitz wave, colliding modons, cosine bell advection, and the 3D non-hydrostatic baroclinic wave.&lt;/figcaption>
&lt;/figure>
&lt;p>Across these tests, the Duo-Grid consistently reduces grid imprinting and numerical errors while preserving the accuracy and numerical characteristics of the original FV3 formulation.&lt;/p>
&lt;h2 id="key-results">Key results&lt;/h2>
&lt;ul>
&lt;li>Grid imprinting of the cubed sphere is greatly reduced in idealized tests and practically eliminated.&lt;/li>
&lt;li>Duo-Grid decreases the growth rate of error norms in all cases compared to the kinked grid, up to one order of magnitude.&lt;/li>
&lt;li>Order of accuracy of FV3’s horizontal discretization is conserved.&lt;/li>
&lt;li>Dispersion and dissipation properties are identical to those of the original FV3 algorithm.&lt;/li>
&lt;li>Edge handling code is eliminated -&amp;gt; significant performance gain in current/future GPU development&lt;/li>
&lt;li>FV3’s robustness and accuracy have increased.&lt;/li>
&lt;/ul>
&lt;p>These results indicate a clear improvement in FV3&amp;rsquo;s robustness.&lt;/p>
&lt;h2 id="reference">Reference&lt;/h2>
&lt;p>Mouallem, J., Harris, L., and Chen, X.: &lt;em>Implementation of the Novel Duo-Grid in
GFDL&amp;rsquo;s FV3 Dynamical Core&lt;/em>, &lt;strong>Journal of Advances in Modeling Earth Systems&lt;/strong>,
15(12), 2023.
&lt;a href="https://doi.org/10.1029/2023MS003712" target="_blank" rel="noopener">https://doi.org/10.1029/2023MS003712&lt;/a>&lt;/p></description></item><item><title>Multiple Same-Level and Telescoping Grid Nesting</title><link>https://josephmouallem.github.io/research/grid-nesting/</link><pubDate>Tue, 07 Jun 2022 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/research/grid-nesting/</guid><description>&lt;h2 id="motivation">Motivation&lt;/h2>
&lt;p>Multi-scale modeling often requires simulations at many different resolutions. This work shows how to couple coarse and fine domains within a single dynamical core, enabling cost-effective high-resolution forecasts of localized phenomena like hurricanes.&lt;/p>
&lt;h2 id="overview">Overview&lt;/h2>
&lt;p>Two-way &lt;strong>multiple same-level&lt;/strong> and &lt;strong>telescoping&lt;/strong> grid nesting capabilities are
implemented in FV3 using GFDL&amp;rsquo;s Flexible Modeling System (FMS).&lt;/p>
&lt;p>A &lt;em>nest&lt;/em> is an additional grid that zooms in over a region of interest to resolve
the small-scale structures needed for better forecasts of localized weather events
such as severe storms and hurricanes. A &lt;em>telescoping nest&lt;/em> is a nest within a
nest, allowing resolution to be refined progressively over the target region.&lt;/p>
&lt;figure id="figure-multiple-same-level-and-telescoping-nests-on-the-cubed-sphere-nests-can-be-placed-side-by-side-at-the-same-level-or-nested-inside-one-another-to-form-a-hierarchy-of-refinement-levels">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Multiple same-level and telescoping nests on the cubed-sphere. Nests can be placed side by side at the same level, or nested inside one another to form a hierarchy of refinement levels." srcset="
/research/grid-nesting/telescoping-nests_hua1b7fc4ff8abda3c1910775c6304ac83_187348_9acfc143371c1b423814624dd2b2175a.webp 400w,
/research/grid-nesting/telescoping-nests_hua1b7fc4ff8abda3c1910775c6304ac83_187348_37280c2ce296835a2023228183313bbb.webp 760w,
/research/grid-nesting/telescoping-nests_hua1b7fc4ff8abda3c1910775c6304ac83_187348_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/grid-nesting/telescoping-nests_hua1b7fc4ff8abda3c1910775c6304ac83_187348_9acfc143371c1b423814624dd2b2175a.webp"
width="720"
height="384"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Multiple same-level and telescoping nests on the cubed-sphere. Nests can be placed side by side at the same level, or nested inside one another to form a hierarchy of refinement levels.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="progressive-refinement">Progressive refinement&lt;/h2>
&lt;p>Nests can be used in both global and regional domains, and each level of the
hierarchy can refine the parent resolution by an arbitrary factor.&lt;/p>
&lt;figure id="figure-a-telescoping-configuration-refining-a-global-13-km-grid-down-to-43-km-14-km-and-05-km-over-the-region-of-interest">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="A telescoping configuration refining a global ~13 km grid down to ~4.3 km, ~1.4 km and ~0.5 km over the region of interest." srcset="
/research/grid-nesting/nest-resolutions_hu640238cec2fdb33698d45f29cd715256_498430_7a5220ea2b65cbcdae69445f39a16b1b.webp 400w,
/research/grid-nesting/nest-resolutions_hu640238cec2fdb33698d45f29cd715256_498430_aa82859842a1b194ddf426aa7f3b0d32.webp 760w,
/research/grid-nesting/nest-resolutions_hu640238cec2fdb33698d45f29cd715256_498430_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/grid-nesting/nest-resolutions_hu640238cec2fdb33698d45f29cd715256_498430_7a5220ea2b65cbcdae69445f39a16b1b.webp"
width="720"
height="629"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
A telescoping configuration refining a global ~13 km grid down to ~4.3 km, ~1.4 km and ~0.5 km over the region of interest.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="computational-design">Computational design&lt;/h2>
&lt;p>The nested grids run &lt;strong>concurrently&lt;/strong> on different sets of processors and interact
two-way with their parent grids. This provides more accurate results on both the
nest and the parent, and reduces load imbalance between processors.&lt;/p>
&lt;h2 id="availability">Availability&lt;/h2>
&lt;p>Starting from the FV3 public release of 2021, multiple same-level and telescoping
nests are fully functional and available to the broader scientific community. This
drastically improves overall forecast performance and opens the door to numerous
research possibilities for scientists and meteorologists alike.&lt;/p>
&lt;h2 id="reference">Reference&lt;/h2>
&lt;p>Mouallem, J., Harris, L., and Benson, R.: &lt;em>Multiple same-level and telescoping
nesting in GFDL&amp;rsquo;s dynamical core&lt;/em>, &lt;strong>Geoscientific Model Development&lt;/strong>, 15(11),
4355-4371, 2022.
&lt;a href="https://doi.org/10.5194/gmd-15-4355-2022" target="_blank" rel="noopener">https://doi.org/10.5194/gmd-15-4355-2022&lt;/a>&lt;/p></description></item><item><title>SHiELD-LM4: Coupled Land-Atmosphere Modeling</title><link>https://josephmouallem.github.io/research/shield-lm4/</link><pubDate>Fri, 04 Sep 2026 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/research/shield-lm4/</guid><description>&lt;h2 id="what-i-developed">What I developed&lt;/h2>
&lt;ul>
&lt;li>Implicit land-atmosphere coupling between SHiELD and LM4&lt;/li>
&lt;li>Integration of the LM4 land component into the SHiELD framework&lt;/li>
&lt;li>FMS coupling and exchange-grid infrastructure for conservative water and energy fluxes&lt;/li>
&lt;li>High-resolution coupled hydrological simulations&lt;/li>
&lt;li>The Hurricane Helene (2024) case study evaluating hydrological extremes&lt;/li>
&lt;/ul>
&lt;h2 id="motivation">Motivation&lt;/h2>
&lt;p>Land-atmosphere interactions drive weather and climate extremes. This system integrates advanced atmospheric and land processes to capture how soil moisture, vegetation, and runoff feedback on regional weather patterns, advancing forecast skill for hydrological extremes.&lt;/p>
&lt;h2 id="overview">Overview&lt;/h2>
&lt;p>We present a new high-resolution coupled atmosphere-land model, &lt;strong>SHiELD-LM4&lt;/strong>,
which integrates GFDL&amp;rsquo;s advanced atmospheric model (SHiELD) with the Geophysical
Fluid Dynamics Laboratory Land Model (LM4) through the Flexible Modeling System
(FMS) coupler. This coupled system enables accurate representation of
land-atmosphere interactions, including soil moisture feedbacks, runoff
generation, and hydrological extremes.&lt;/p>
&lt;p>The model captures critical processes such as precipitation-driven runoff, soil
water dynamics, and their impacts on atmospheric evolution during extreme weather
events. High-resolution representation is essential for resolving the complex
interactions between atmospheric convection and land surface hydrology.&lt;/p>
&lt;h2 id="coupling-infrastructure">Coupling Infrastructure&lt;/h2>
&lt;p>The SHiELD-LM4 model employs the Flexible Modeling System (FMS) coupler to
facilitate bidirectional exchange between the atmospheric and land components.
The exchange grid ensures accurate conservation of water and energy fluxes at
the atmosphere-land interface.&lt;/p>
&lt;figure id="figure-schematic-of-atmosphere-atm-exchange-grid-xgrid-and-landice-components-showing-multi-level-coupling-infrastructure-and-flux-exchange-pathways">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Schematic of atmosphere (Atm), exchange grid (Xgrid), and land/ice components showing multi-level coupling infrastructure and flux exchange pathways." srcset="
/research/shield-lm4/atm_ice_land_hu2639366593ab23330b2458e23dfe2569_144469_3015ed23ca51d7f2cf62be09b9ae0aa5.webp 400w,
/research/shield-lm4/atm_ice_land_hu2639366593ab23330b2458e23dfe2569_144469_2d5883ee7d72adb7d245ea500a699aae.webp 760w,
/research/shield-lm4/atm_ice_land_hu2639366593ab23330b2458e23dfe2569_144469_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/shield-lm4/atm_ice_land_hu2639366593ab23330b2458e23dfe2569_144469_3015ed23ca51d7f2cf62be09b9ae0aa5.webp"
width="760"
height="386"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Schematic of atmosphere (Atm), exchange grid (Xgrid), and land/ice components showing multi-level coupling infrastructure and flux exchange pathways.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="hurricane-helene-2024-precipitation-and-runoff">Hurricane Helene (2024): Precipitation and Runoff&lt;/h2>
&lt;p>A key application of the coupled SHiELD-LM4 system is realistic simulation of
extreme precipitation and its hydrological consequences during tropical cyclones.
The animation below shows global precipitation and runoff during Hurricane Helene&amp;rsquo;s
landfall, zoomed on the southeastern United States to reveal localized hydrological
response.&lt;/p>
&lt;figure class="video-figure">
&lt;video
class="video-figure-media"
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preload="metadata"
poster="/research/shield-lm4/Global_zoomed_precip_runoff_river_poster.jpg">
&lt;source src="https://josephmouallem.github.io/research/shield-lm4/Global_zoomed_precip_runoff_river.mp4" type="video/mp4">
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&lt;/video>
&lt;figcaption>Global precipitation (mm/hr), surface runoff, and river discharge (kg/m³/s) during Hurricane Helene (2024). Zoomed panels show detailed runoff and river flow in the southeastern U.S. during landfall.&lt;/figcaption>
&lt;/figure>
&lt;h2 id="soil-moisture-and-land-surface-response">Soil Moisture and Land Surface Response&lt;/h2>
&lt;p>The coupling captures soil moisture evolution and its feedback to atmospheric
conditions. The animation shows soil liquid water content evolution during an
extreme precipitation event, with time series of observed vs. modeled soil moisture
at multiple locations.&lt;/p>
&lt;figure class="video-figure">
&lt;video
class="video-figure-media"
autoplay loop muted playsinline controls
preload="metadata"
poster="/research/shield-lm4/Runoff_river_helene_26_slow_poster.jpg">
&lt;source src="https://josephmouallem.github.io/research/shield-lm4/Runoff_river_helene_26_slow.mp4" type="video/mp4">
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&lt;/video>
&lt;figcaption>Time series of soil liquid water content (kg/m³) at multiple observation sites during Hurricane Helene, illustrating the rapid soil water response to extreme precipitation and subsequent drainage.&lt;/figcaption>
&lt;/figure>
&lt;h2 id="soil-column-interactions">Soil Column Interactions&lt;/h2>
&lt;p>The detailed representation of soil-atmosphere interactions is illustrated through
the vertical exchange of water and energy between atmospheric columns and land model
soil layers.&lt;/p>
&lt;figure id="figure-time-series-of-soil-liquid-content-kgm-at-four-observation-locations-asheville-buncombe-busick-yancey-boone-watauga-jefferson-ashe-showing-hourly-evolution-during-extreme-precipitation-event">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Time series of soil liquid content (kg/m³) at four observation locations (Asheville, Buncombe; Busick, Yancey; Boone, Watauga; Jefferson, Ashe) showing hourly evolution during extreme precipitation event." srcset="
/research/shield-lm4/soil_water_hu918e0b71ba8b5c34a57c0599d3641ba1_1003597_9779be6a1c02515d815b997235bcfc0d.webp 400w,
/research/shield-lm4/soil_water_hu918e0b71ba8b5c34a57c0599d3641ba1_1003597_4f24afe3ff1a8f5dde1b9a33094e1e26.webp 760w,
/research/shield-lm4/soil_water_hu918e0b71ba8b5c34a57c0599d3641ba1_1003597_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/shield-lm4/soil_water_hu918e0b71ba8b5c34a57c0599d3641ba1_1003597_9779be6a1c02515d815b997235bcfc0d.webp"
width="760"
height="352"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Time series of soil liquid content (kg/m³) at four observation locations (Asheville, Buncombe; Busick, Yancey; Boone, Watauga; Jefferson, Ashe) showing hourly evolution during extreme precipitation event.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="key-results">Key Results&lt;/h2>
&lt;ul>
&lt;li>Two-way land-atmosphere coupling effectively captures soil moisture-precipitation
feedbacks during extreme events.&lt;/li>
&lt;li>Runoff generation and river discharge are accurately simulated at high resolution.&lt;/li>
&lt;li>Soil water dynamics show realistic response to precipitation forcing with
multi-hour memory effects.&lt;/li>
&lt;li>The model demonstrates capability to simulate coupled hydro-atmospheric extremes
with kilometer-scale detail.&lt;/li>
&lt;/ul>
&lt;p>This work extends coupled modeling capabilities to include detailed land surface
hydrology, with implications for weather forecasting, hydrological prediction,
and climate research.&lt;/p>
&lt;h2 id="reference">Reference&lt;/h2>
&lt;p>Mouallem, J., Malyshev, S., Tan, Z., Shevliakova, E., Gao, K., Harris, L.,
Benson, R., Cooke, W., Zadeh, N., and Chilutti, L.: &lt;em>Development of a
high-resolution coupled SHiELD-MOM6-LM4 – Part 2: Model overview, coupling
technique, and evaluation of hydrological extremes during Hurricane Helene&lt;/em>,
&lt;strong>Geoscientific Model Development&lt;/strong> (accepted), 2026.&lt;/p></description></item><item><title>SHiELD-MOM6: High-Resolution Coupled Atmosphere-Ocean Modeling</title><link>https://josephmouallem.github.io/research/shield-mom6/</link><pubDate>Fri, 26 Sep 2025 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/research/shield-mom6/</guid><description>&lt;h2 id="what-i-developed">What I developed&lt;/h2>
&lt;ul>
&lt;li>The coupling framework connecting SHiELD, MOM6, and SIS2 through FMS&lt;/li>
&lt;li>Exchange-grid infrastructure for conservative flux exchange between components&lt;/li>
&lt;li>High-resolution coupled atmosphere-ocean-ice model configurations&lt;/li>
&lt;li>Evaluation of hurricane-ocean interaction, including Hurricane Helene (2024)&lt;/li>
&lt;/ul>
&lt;h2 id="motivation">Motivation&lt;/h2>
&lt;p>Air-sea interactions drive storm intensity and ocean response. This coupled system captures two-way feedback between the atmosphere and ocean at kilometer scales, enabling accurate simulations of hurricane-ocean interactions and coastal impacts.&lt;/p>
&lt;h2 id="overview">Overview&lt;/h2>
&lt;p>We present a new high-resolution coupled atmosphere-ocean model, &lt;strong>SHiELD-MOM6&lt;/strong>,
which integrates GFDL&amp;rsquo;s advanced atmospheric model, the System for High-resolution
modeling for Earth-to-Local Domain (SHiELD), the Modular Ocean Model version 6
(MOM6), and the Sea Ice Simulator (SIS2).&lt;/p>
&lt;p>The model leverages the Flexible Modeling System (FMS) coupler and its innovative
exchange grid to enable a robust and scalable two-way interaction between the
atmosphere and ocean. The atmospheric component is built on the non-hydrostatic
Finite-Volume Cubed-Sphere Dynamical Core (FV3) with the latest version of the
SHiELD physics parametrization suite, while the ocean component is the latest
version of MOM, supporting kilometer-scale high-resolution and regional
applications.&lt;/p>
&lt;h2 id="coupling-infrastructure">Coupling infrastructure&lt;/h2>
&lt;p>The SHiELD-MOM6 model employs the Flexible Modeling System (FMS) coupler, which facilitates the exchange of information between the atmospheric and oceanic components. The exchange grid ensures accurate and efficient communication, enabling the two-way interaction necessary for realistic coupled simulations.&lt;/p>
&lt;figure id="figure-schematic-of-a-one-dimensional-exchange-grid-and-communication-map-between-the-atmosphere-and-ice-components-at-different-resolutions-the-red-sides-of-the-arrow-indicate-the-step-where-variables-are-projected-from-the-exchange-grid-the-light-blue-and-mauve-sides-of-the-arrows-represent-the-projection-of-variables-onto-the-exchange-grid-from-the-atmosphere-or-ice-components-respectively">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Schematic of a one-dimensional exchange grid and communication map between the atmosphere and ice components at different resolutions. The red sides of the arrow indicate the step where variables are projected from the exchange grid. The light-blue and mauve sides of the arrows represent the projection of variables onto the exchange grid from the atmosphere or ice components, respectively." srcset="
/research/shield-mom6/atm_ocn_hub83b2c4fddf41751a7522a0e11011fca_108332_de340ceb76921e943989bf309caaadf7.webp 400w,
/research/shield-mom6/atm_ocn_hub83b2c4fddf41751a7522a0e11011fca_108332_c5b0815d18832211dbe6e2e20989e6a8.webp 760w,
/research/shield-mom6/atm_ocn_hub83b2c4fddf41751a7522a0e11011fca_108332_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/shield-mom6/atm_ocn_hub83b2c4fddf41751a7522a0e11011fca_108332_de340ceb76921e943989bf309caaadf7.webp"
width="760"
height="394"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Schematic of a one-dimensional exchange grid and communication map between the atmosphere and ice components at different resolutions. The red sides of the arrow indicate the step where variables are projected from the exchange grid. The light-blue and mauve sides of the arrows represent the projection of variables onto the exchange grid from the atmosphere or ice components, respectively.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="hurricane-helene-2024">Hurricane Helene (2024)&lt;/h2>
&lt;p>Validation is demonstrated through a suite of experiments, including idealized
hurricane simulations and a realistic North Atlantic case study featuring
Hurricane Helene 2024. The animation below shows the simulated sea level pressure
and 10 m winds (left) alongside the sea surface temperature anomaly and ocean
surface currents (right) as the storm crosses the Gulf.&lt;/p>
&lt;figure class="video-figure">
&lt;video
class="video-figure-media"
autoplay loop muted playsinline controls
preload="metadata"
poster="/research/shield-mom6/helene-slp-sst_poster.jpg">
&lt;source src="https://josephmouallem.github.io/research/shield-mom6/helene-slp-sst.mp4" type="video/mp4">
Your browser does not support the video tag.
&lt;/video>
&lt;figcaption>Hurricane Helene (2024): sea level pressure and surface winds (left); sea surface temperature change and ocean currents (right). The cold wake and upwelling behind the storm are captured by the two-way coupling.&lt;/figcaption>
&lt;/figure>
&lt;h2 id="scalability">Scalability&lt;/h2>
&lt;p>Scalability tests have been conducted to evaluate the model&amp;rsquo;s performance on massively parallel computing systems. The results demonstrate that SHiELD-MOM6 maintains high computational efficiency as the number of processors increases, ensuring that high-resolution coupled simulations can be performed within practical timeframes&lt;/p>
&lt;figure id="figure-strong-scaling-a-and-weak-scaling-b-actual-speedupefficiency-red-circles-compared-to-ideal-speedupefficiency-black-squares-as-a-function-of-the-number-of-pes">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Strong scaling (a) and weak scaling (b): actual speedup/efficiency (red circles) compared to ideal speedup/efficiency (black squares) as a function of the number of PEs." srcset="
/research/shield-mom6/scaling_strong_weak_hu3e9c6b6cc29ab68fb53618c677749664_111177_ff62117dc319ace0bd32f4b11cbb4703.webp 400w,
/research/shield-mom6/scaling_strong_weak_hu3e9c6b6cc29ab68fb53618c677749664_111177_6c77f828c2fb2349c44561dddcad13dc.webp 760w,
/research/shield-mom6/scaling_strong_weak_hu3e9c6b6cc29ab68fb53618c677749664_111177_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/shield-mom6/scaling_strong_weak_hu3e9c6b6cc29ab68fb53618c677749664_111177_ff62117dc319ace0bd32f4b11cbb4703.webp"
width="760"
height="374"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Strong scaling (a) and weak scaling (b): actual speedup/efficiency (red circles) compared to ideal speedup/efficiency (black squares) as a function of the number of PEs.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="key-results">Key results&lt;/h2>
&lt;ul>
&lt;li>Air-sea interactions are effectively captured, both in storm intensity and
structure and in the ocean response.&lt;/li>
&lt;li>The coupling reproduces ocean phenomena such as storm-induced upwelling, the
cold wake, and sea level changes.&lt;/li>
&lt;li>Scalability tests confirm the model&amp;rsquo;s computational efficiency on
massively parallel systems.&lt;/li>
&lt;/ul>
&lt;p>This work establishes a unified, modular cornerstone for advancing
high-resolution coupled modeling, with significant implications for weather
forecasting and climate research.&lt;/p>
&lt;h2 id="reference">Reference&lt;/h2>
&lt;p>Mouallem, J., Gao, K., Reichl, B. G., Chilutti, L., Harris, L., Benson, R.,
Zadeh, N., Chen, J., Chen, J.-H., and Zhang, C.: &lt;em>Development of a
high-resolution coupled SHiELD-MOM6 model – Part 1: Model overview, coupling
technique, and validation in a regional setup&lt;/em>, &lt;strong>Geoscientific Model
Development&lt;/strong>, 18(18), 6461-6478, 2025.
&lt;a href="https://doi.org/10.5194/gmd-18-6461-2025" target="_blank" rel="noopener">https://doi.org/10.5194/gmd-18-6461-2025&lt;/a>&lt;/p></description></item><item><title>A Minimal, Adiabatic Example of Sudden Stratospheric Warming</title><link>https://josephmouallem.github.io/research/sudden-stratospheric-warming/</link><pubDate>Mon, 01 Sep 2025 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/research/sudden-stratospheric-warming/</guid><description>&lt;h2 id="motivation">Motivation&lt;/h2>
&lt;p>Sudden stratospheric warmings have profound impacts on surface weather weeks later. This idealized modeling study isolates the key physical mechanisms driving SSW dynamics, building intuition and validating model representations of stratospheric-tropospheric coupling.&lt;/p>
&lt;h2 id="overview">Overview&lt;/h2>
&lt;p>Sudden Stratospheric Warmings (SSW) are extreme events that can significantly
impact weather patterns on short, subseasonal and seasonal timescales. In this
study we present a new &lt;strong>idealized test case&lt;/strong> of an SSW event implemented in
GFDL&amp;rsquo;s FV3 dynamical core.&lt;/p>
&lt;h2 id="setup">Setup&lt;/h2>
&lt;p>The initial condition features a wintertime stratospheric circulation with a
westerly jet in the Northern Hemisphere and an easterly jet in the Southern
Hemisphere. In the absence of tropospheric wave forcing, the model preserves this stratospheric circulation for approximately &lt;strong>200 days&lt;/strong>, which makes it a clean baseline.&lt;/p>
&lt;p>To induce an SSW, we introduce a &lt;em>moving mountain&lt;/em> that generates planetary waves of a prescribed zonal wavenumber.&lt;/p>
&lt;figure class="video-figure">
&lt;video
class="video-figure-media"
autoplay loop muted playsinline controls
preload="metadata"
poster="/research/sudden-stratospheric-warming/mountain_poster.jpg">
&lt;source src="https://josephmouallem.github.io/research/sudden-stratospheric-warming/mountain.mp4" type="video/mp4">
Your browser does not support the video tag.
&lt;/video>
&lt;figcaption>Animation of the moving mountain forcing used to generate planetary waves of a prescribed zonal wavenumber.&lt;/figcaption>
&lt;/figure>
&lt;p>The moving mountain is introduced through a time-dependent surface geopotential perturbation,&lt;/p>
&lt;p>$$
\phi&amp;rsquo; =
g h_0
\sin\left(\frac{r,\mathrm{time}}{20}\right)
\sin^2\left[
\frac{\pi(\phi-\phi_1)}{\phi_2-\phi_1}
\right]
\cos\left(
z_w\lambda+\frac{10sr,\mathrm{time}}{360}
\right),
\qquad \phi_2\geq\phi\geq\phi_1.
$$&lt;/p>
&lt;p>where (g) is gravitational acceleration, ($h_0$) is the mountain height, ($\phi_1$) and ($\phi_2$) define its latitudinal extent, ($z_w$) is the zonal wavenumber, ($s$) controls the phase speed, and ($r$) controls the temporal forcing frequency. The westward-moving mountain generates planetary waves that propagate upward into the stratosphere and interact with the polar vortex.&lt;/p>
&lt;h2 id="results">Results&lt;/h2>
&lt;p>The Hovmöller diagram shows the temporal evolution of the zonal-wavenumber components of the 10 hPa zonal wind. The growth and propagation of the planetary-wave components illustrate how the imposed forcing develops and interacts with the stratospheric circulation leading up to the SSW.&lt;/p>
&lt;figure id="figure-hovmoller-diagram-for-decomposed-zonal-wind-amplitudes-at-10ℎ𝑃𝑎-for-a-perturbed-simulation-first-row-shows-wavenumber-0-1-2-and-3-time-goes-upward-in-days-second-row-shows-the-decomposed-wavenumber-1-2-and-3-components-in-zonal-winds-in-ms">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Hovmoller diagram for decomposed zonal wind amplitudes at 10⁢ℎ⁡𝑃⁢𝑎 for a perturbed simulation, first row shows wavenumber 0, 1, 2, and 3. Time goes upward in days. Second row shows the decomposed wavenumber 1, 2, and 3 components in zonal winds in (m/s)" srcset="
/research/sudden-stratospheric-warming/hovmoller_vel_zn1_hu312f1f5232de9753958e2eab439cd5e4_699286_6d2cd68b3989647efe5383baa0a018b4.webp 400w,
/research/sudden-stratospheric-warming/hovmoller_vel_zn1_hu312f1f5232de9753958e2eab439cd5e4_699286_4c799167762eed8423fd9a8362ffc1fd.webp 760w,
/research/sudden-stratospheric-warming/hovmoller_vel_zn1_hu312f1f5232de9753958e2eab439cd5e4_699286_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/sudden-stratospheric-warming/hovmoller_vel_zn1_hu312f1f5232de9753958e2eab439cd5e4_699286_6d2cd68b3989647efe5383baa0a018b4.webp"
width="760"
height="522"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Hovmoller diagram for decomposed zonal wind amplitudes at 10⁢ℎ⁡𝑃⁢𝑎 for a perturbed simulation, first row shows wavenumber 0, 1, 2, and 3. Time goes upward in days. Second row shows the decomposed wavenumber 1, 2, and 3 components in zonal winds in (m/s)
&lt;/figcaption>&lt;/figure>
&lt;p>The animation shows the evolution of the zonal-mean Eliassen–Palm (EP) flux and its divergence. The upward propagation of EP flux demonstrates the transport of planetary-wave activity into the stratosphere, followed by enhanced wave–mean-flow interaction and deceleration of the polar-night jet.&lt;/p>
&lt;figure class="video-figure">
&lt;video
class="video-figure-media"
autoplay loop muted playsinline controls
preload="metadata"
poster="/research/sudden-stratospheric-warming/EP_flux_zn1_anim_poster.jpg">
&lt;source src="https://josephmouallem.github.io/research/sudden-stratospheric-warming/EP_flux_zn1_anim.mp4" type="video/mp4">
Your browser does not support the video tag.
&lt;/video>
&lt;figcaption>Zonal-mean Eliassen–Palm (EP) flux vectors (arrows) and EP flux divergence (shading, in m/s/day). Gray contours denote the zonal-mean zonal wind (in m/s), with solid lines for positive values and dashed lines for negative values.&lt;/figcaption>
&lt;/figure>
&lt;figure id="figure-polar-view-of-the-two-ssw-regimes-obtained-in-the-idealized-setup-wavenumber-1-forcing-produces-a-vortex-displacement-event-left-while-wavenumber-2-forcing-produces-a-vortex-split-event-right">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Polar view of the two SSW regimes obtained in the idealized setup: wavenumber-1 forcing produces a vortex displacement event (left), while wavenumber-2 forcing produces a vortex split event (right)." srcset="
/research/sudden-stratospheric-warming/vortex-displacement-split_hu056676ce0a42392410826a8c0a4a44b5_522896_5e95d9c32f2850f7a44cbc84ef1d275e.webp 400w,
/research/sudden-stratospheric-warming/vortex-displacement-split_hu056676ce0a42392410826a8c0a4a44b5_522896_cae965813b3d4e39323328adaf68cc30.webp 760w,
/research/sudden-stratospheric-warming/vortex-displacement-split_hu056676ce0a42392410826a8c0a4a44b5_522896_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/sudden-stratospheric-warming/vortex-displacement-split_hu056676ce0a42392410826a8c0a4a44b5_522896_5e95d9c32f2850f7a44cbc84ef1d275e.webp"
width="760"
height="402"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Polar view of the two SSW regimes obtained in the idealized setup: wavenumber-1 forcing produces a vortex displacement event (left), while wavenumber-2 forcing produces a vortex split event (right).
&lt;/figcaption>&lt;/figure>
&lt;ul>
&lt;li>Wavenumber-1 forcing leads to a &lt;strong>vortex displacement&lt;/strong> SSW.&lt;/li>
&lt;li>Wavenumber-2 forcing produces a &lt;strong>vortex split&lt;/strong> SSW.&lt;/li>
&lt;/ul>
&lt;p>Both are consistent with observations and the published literature.&lt;/p>
&lt;p>This minimal setup offers a controlled environment for studying SSW dynamics and
serves as a useful testbed for evaluating the ability of dynamical cores to
capture key stratospheric processes and troposphere-stratosphere interactions.&lt;/p>
&lt;h2 id="reference">Reference&lt;/h2>
&lt;p>Mouallem, J., Yao, W., Harris, L., Lin, S.-J., and Chen, X.: &lt;em>A Minimal,
Adiabatic Example of Sudden Stratospheric Warming&lt;/em>, &lt;strong>Journal of Advances in
Modeling Earth Systems&lt;/strong>, 17(9), 2025.
&lt;a href="https://doi.org/10.1029/2024MS004760" target="_blank" rel="noopener">https://doi.org/10.1029/2024MS004760&lt;/a>&lt;/p></description></item><item><title>Targeted Particle Delivery via Vortex Ring Reconnection</title><link>https://josephmouallem.github.io/research/vortex-ring-delivery/</link><pubDate>Fri, 01 Oct 2021 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/research/vortex-ring-delivery/</guid><description>&lt;h2 id="motivation">Motivation&lt;/h2>
&lt;p>Precise particle targeting is important in manufacturing, propulsion, and medical applications. This work shows how vortex ring dynamics can coherently transport particles to specific wall locations, with design parameters (ring size, Stokes number) controlling delivery accuracy.&lt;/p>
&lt;h2 id="concept">Concept&lt;/h2>
&lt;p>A conceptual model for &lt;strong>targeted particle delivery&lt;/strong> is proposed using controlled
vortex ring reconnection. Particles entrained in the core of a vortex ring are
efficiently transported as the ring advects by self-induction.&lt;/p>
&lt;figure id="figure-left-initial-particle-seeding-within-the-cores-of-the-two-vortex-rings-right-the-reconnection-sequence--first-reconnection-second-reconnection-and-pinch-off--that-redirects-the-particles-toward-the-sidewalls">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Left: initial particle seeding within the cores of the two vortex rings. Right: the reconnection sequence — first reconnection, second reconnection, and pinch off — that redirects the particles toward the sidewalls." srcset="
/research/vortex-ring-delivery/particle-delivery_huaa8523547833b1a2ad240d91967b2ebc_139263_17b3d66b54d88b30a09d305782e132e0.webp 400w,
/research/vortex-ring-delivery/particle-delivery_huaa8523547833b1a2ad240d91967b2ebc_139263_d905aa71e7eaae07affc96b01b66c937.webp 760w,
/research/vortex-ring-delivery/particle-delivery_huaa8523547833b1a2ad240d91967b2ebc_139263_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/vortex-ring-delivery/particle-delivery_huaa8523547833b1a2ad240d91967b2ebc_139263_17b3d66b54d88b30a09d305782e132e0.webp"
width="720"
height="262"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Left: initial particle seeding within the cores of the two vortex rings. Right: the reconnection sequence — first reconnection, second reconnection, and pinch off — that redirects the particles toward the sidewalls.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="mechanism">Mechanism&lt;/h2>
&lt;p>A pair of these particle-transporting vortex rings traveling in the streamwise
direction along parallel trajectories will mutually interact, resulting in a pair
of &lt;strong>vortex reconnection events&lt;/strong>. The reconnection causes a topological change to
the ring, accompanied by a rapid repulsion in the plane perpendicular to the
direction of travel. This effectively transports the particles toward the desired
location on the sidewalls of a ducted flow.&lt;/p>
&lt;figure class="video-figure">
&lt;video
class="video-figure-media"
autoplay loop muted playsinline controls
preload="metadata"
poster="/research/vortex-ring-delivery/vortex-ring-reconnection_poster.jpg">
&lt;source src="https://josephmouallem.github.io/research/vortex-ring-delivery/vortex-ring-reconnection.mp4" type="video/mp4">
Your browser does not support the video tag.
&lt;/video>
&lt;figcaption>Simulation of the two particle-laden vortex rings advecting, interacting, and reconnecting inside the duct.&lt;/figcaption>
&lt;/figure>
&lt;p>In addition to proposing this conceptual model, we identify the dominant physics
of the process and the design considerations required to achieve targeted
delivery.&lt;/p>
&lt;h2 id="particle-inertia-sets-the-delivery">Particle inertia sets the delivery&lt;/h2>
&lt;p>Whether the particles actually follow the rings is governed by the Stokes number.
Low-inertia particles stay locked to the ring cores and are carried coherently
through both reconnections, while high-inertia particles decouple from the
vortex and disperse before reaching the wall.&lt;/p>
&lt;figure id="figure-mean-streamwise-particle-position-left-and-mean-wall-normal-particle-position-right-for-st--01-1-and-10-shaded-bands-show-one-standard-deviation-and-the-dashed-lines-mark-the-two-reconnection-events-at-st--01-and-st--1-the-particles-track-the-rings-and-are-delivered-together-at-st--10-they-lag-and-spread-widely">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Mean streamwise particle position (left) and mean wall-normal particle position (right) for St = 0.1, 1 and 10. Shaded bands show one standard deviation and the dashed lines mark the two reconnection events. At St = 0.1 and St = 1 the particles track the rings and are delivered together; at St = 10 they lag and spread widely." srcset="
/research/vortex-ring-delivery/stokes-number_hue17089a22b4a7f39de24dea8dfa8dedc_159826_5530cf3cd6bf21947fa8be16e44b2706.webp 400w,
/research/vortex-ring-delivery/stokes-number_hue17089a22b4a7f39de24dea8dfa8dedc_159826_3b284a51dc9c2157862bdf82d373f301.webp 760w,
/research/vortex-ring-delivery/stokes-number_hue17089a22b4a7f39de24dea8dfa8dedc_159826_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/vortex-ring-delivery/stokes-number_hue17089a22b4a7f39de24dea8dfa8dedc_159826_5530cf3cd6bf21947fa8be16e44b2706.webp"
width="760"
height="284"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Mean streamwise particle position (left) and mean wall-normal particle position (right) for St = 0.1, 1 and 10. Shaded bands show one standard deviation and the dashed lines mark the two reconnection events. At St = 0.1 and St = 1 the particles track the rings and are delivered together; at St = 10 they lag and spread widely.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="design-considerations">Design considerations&lt;/h2>
&lt;p>The ring radius, relative to the channel width, controls how strongly the rings
repel after reconnection and therefore where on the sidewall the particles
arrive. This makes ring size the primary design parameter for aiming the
delivery.&lt;/p>
&lt;figure id="figure-spreading-angle-θ-after-reconnection-for-three-ring-sizes-with-r-set-by-the-channel-width-w-r--015w-blue-r--0125w-green-and-r--01w-red-larger-rings-separate-more-aggressively-moving-the-impact-point-further-upstream">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Spreading angle θ after reconnection for three ring sizes, with R set by the channel width W: R = 0.15W (blue), R = 0.125W (green) and R = 0.1W (red). Larger rings separate more aggressively, moving the impact point further upstream." srcset="
/research/vortex-ring-delivery/ring-size_hu22716c85b7a01cbc9234f09b70e82e54_206918_0e568b846196ede59c5c4dcc30500bd2.webp 400w,
/research/vortex-ring-delivery/ring-size_hu22716c85b7a01cbc9234f09b70e82e54_206918_9a633b30c6207a713fbdbb9b09efdc8c.webp 760w,
/research/vortex-ring-delivery/ring-size_hu22716c85b7a01cbc9234f09b70e82e54_206918_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/vortex-ring-delivery/ring-size_hu22716c85b7a01cbc9234f09b70e82e54_206918_0e568b846196ede59c5c4dcc30500bd2.webp"
width="760"
height="485"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Spreading angle θ after reconnection for three ring sizes, with R set by the channel width W: R = 0.15W (blue), R = 0.125W (green) and R = 0.1W (red). Larger rings separate more aggressively, moving the impact point further upstream.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="reference">Reference&lt;/h2>
&lt;p>Mouallem, J., Daryan, H., Wawryk, J., Pan, Z., and Hickey, J.-P.: &lt;em>Targeted
particle delivery via vortex ring reconnection&lt;/em>, &lt;strong>Physics of Fluids&lt;/strong>, 33(10),
2021.
&lt;a href="https://doi.org/10.1063/5.0066443" target="_blank" rel="noopener">https://doi.org/10.1063/5.0066443&lt;/a>&lt;/p></description></item><item><title>Induction Heating of Dispersed Metallic Particles in a Turbulent Flow</title><link>https://josephmouallem.github.io/research/induction-heating-turbulence/</link><pubDate>Sun, 01 Nov 2020 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/research/induction-heating-turbulence/</guid><description>&lt;h2 id="motivation">Motivation&lt;/h2>
&lt;p>Induction heating of particles in flight is relevant to advanced combustion and energy conversion systems. This DNS study reveals how rapid heating reduces particle clustering and alters turbulent structures, informing the design of more efficient heating systems.&lt;/p>
&lt;h2 id="overview">Overview&lt;/h2>
&lt;p>Inductively heated solid particles dispersed within a decaying isotropic turbulent
carrier gas are investigated via &lt;strong>Direct Numerical Simulation (DNS)&lt;/strong>. The
multiphase simulations account for the compressibility and temperature-dependent
viscosity of the carrier gas.&lt;/p>
&lt;p>We develop a semi-empirical model for solid particle heating through hysteresis
and Joule mechanisms, as these dispersed particles are heated by an external
high-frequency alternating magnetic field.&lt;/p>
&lt;figure id="figure-validation-of-the-semi-empirical-induction-heating-model-against-the-experimental-data-of-bae-et-al-2015-symbols-are-measurements-for-four-particle-loadings-5-to-20-phr-solid-lines-are-the-model-each-with-its-own-induction-heating-timescale-higher-loading-heats-faster-and-reaches-a-higher-equilibrium-temperature">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Validation of the semi-empirical induction heating model against the experimental data of Bae et al. (2015). Symbols are measurements for four particle loadings (5 to 20 phr); solid lines are the model, each with its own induction heating timescale. Higher loading heats faster and reaches a higher equilibrium temperature." srcset="
/research/induction-heating-turbulence/heating-model-validation_hu598150b880474e8d402881be9f40e4e7_213311_444f26c721a85327d1f2722079046d4f.webp 400w,
/research/induction-heating-turbulence/heating-model-validation_hu598150b880474e8d402881be9f40e4e7_213311_541f14d76847a5c667ad11ce15a74aa7.webp 760w,
/research/induction-heating-turbulence/heating-model-validation_hu598150b880474e8d402881be9f40e4e7_213311_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/induction-heating-turbulence/heating-model-validation_hu598150b880474e8d402881be9f40e4e7_213311_444f26c721a85327d1f2722079046d4f.webp"
width="760"
height="441"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Validation of the semi-empirical induction heating model against the experimental data of Bae et al. (2015). Symbols are measurements for four particle loadings (5 to 20 phr); solid lines are the model, each with its own induction heating timescale. Higher loading heats faster and reaches a higher equilibrium temperature.
&lt;/figcaption>&lt;/figure>
&lt;figure id="figure-gas-temperature-field-colors-and-particle-positions-black-dots-in-a-2d-slice-of-the-domain-at-t--10-for-increasing-particle-thermal-response-time-left-to-right-hotter-gas-develops-around-the-particle-laden-regions-as-the-thermal-fluctuations-grow">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Gas temperature field (colors) and particle positions (black dots) in a 2D slice of the domain at t = 10, for increasing particle thermal response time (left to right). Hotter gas develops around the particle-laden regions as the thermal fluctuations grow." srcset="
/research/induction-heating-turbulence/induction-heating_hu9f669cbfc74c31d10eaa1aa13d3aba6d_507207_215e16fc153f70ac376c6f19efc17f32.webp 400w,
/research/induction-heating-turbulence/induction-heating_hu9f669cbfc74c31d10eaa1aa13d3aba6d_507207_b184a3fa4209ccfe52c5ef0cf16d3d10.webp 760w,
/research/induction-heating-turbulence/induction-heating_hu9f669cbfc74c31d10eaa1aa13d3aba6d_507207_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/induction-heating-turbulence/induction-heating_hu9f669cbfc74c31d10eaa1aa13d3aba6d_507207_215e16fc153f70ac376c6f19efc17f32.webp"
width="760"
height="226"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Gas temperature field (colors) and particle positions (black dots) in a 2D slice of the domain at t = 10, for increasing particle thermal response time (left to right). Hotter gas develops around the particle-laden regions as the thermal fluctuations grow.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="key-results">Key results&lt;/h2>
&lt;ul>
&lt;li>The growth of the Kolmogorov length scale is due to a simultaneous &lt;strong>increase in
viscosity&lt;/strong> and &lt;strong>decrease in the dissipation rate&lt;/strong>.&lt;/li>
&lt;li>The temperature-dependent viscosity of the gas leads to a faster decay of the gas
turbulent kinetic energy, mainly through a loss of energy at intermediate
wavenumbers.&lt;/li>
&lt;li>The gas and particle thermal fluctuations are &lt;strong>inversely correlated&lt;/strong>, set by the
relative thermodynamic timescales.&lt;/li>
&lt;li>Two regimes appear in the temperature spectrum: while thermal fluctuations grow,
thermal energy increases monotonically in the low-wavenumber range; once they
decay, the decay occurs across the entire spectrum.&lt;/li>
&lt;li>Aggressive heating (shorter induction heating timescales) &lt;strong>reduces particle
clustering&lt;/strong>, whereas the particle thermal response time shows no such effect.&lt;/li>
&lt;/ul>
&lt;h2 id="heating-de-clusters-the-particles">Heating de-clusters the particles&lt;/h2>
&lt;p>Preferential concentration is measured with the radial distribution function.
The unheated case shows the strongest clustering at small separations, and the
clustering weakens monotonically as the induction heating becomes more
aggressive, while changing the particle thermal response time leaves the
distribution essentially unchanged.&lt;/p>
&lt;figure id="figure-radial-distribution-function-of-the-particles-at-t--30-for-all-cases-with-a-zoom-on-the-small-separation-limit-the-unheated-reference-it0-clusters-the-most-shorter-induction-heating-timescales-i10t10-to-i01t10-progressively-reduce-clustering-while-varying-the-thermal-response-time-i1t10-i1t100-i1t1000-has-little-effect">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Radial distribution function of the particles at t = 30 for all cases, with a zoom on the small-separation limit. The unheated reference (I∞T0) clusters the most; shorter induction heating timescales (I10T10 to I01T10) progressively reduce clustering, while varying the thermal response time (I1T10, I1T100, I1T1000) has little effect." srcset="
/research/induction-heating-turbulence/particle-clustering-rdf_hu0cf929a567dcefe94b90f5c7d4431383_201880_274b25ee30a949642ee9f6aed2233028.webp 400w,
/research/induction-heating-turbulence/particle-clustering-rdf_hu0cf929a567dcefe94b90f5c7d4431383_201880_48e1729893bd18d9ec8f882d239f8ede.webp 760w,
/research/induction-heating-turbulence/particle-clustering-rdf_hu0cf929a567dcefe94b90f5c7d4431383_201880_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/induction-heating-turbulence/particle-clustering-rdf_hu0cf929a567dcefe94b90f5c7d4431383_201880_274b25ee30a949642ee9f6aed2233028.webp"
width="760"
height="442"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Radial distribution function of the particles at t = 30 for all cases, with a zoom on the small-separation limit. The unheated reference (I∞T0) clusters the most; shorter induction heating timescales (I10T10 to I01T10) progressively reduce clustering, while varying the thermal response time (I1T10, I1T100, I1T1000) has little effect.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="reference">Reference&lt;/h2>
&lt;p>Mouallem, J. and Hickey, J.-P.: &lt;em>Induction heating of dispersed metallic particles
in a turbulent flow&lt;/em>, &lt;strong>International Journal of Multiphase Flow&lt;/strong>, 132, 103414,
2020.
&lt;a href="https://doi.org/10.1016/j.ijmultiphaseflow.2020.103414" target="_blank" rel="noopener">https://doi.org/10.1016/j.ijmultiphaseflow.2020.103414&lt;/a>&lt;/p></description></item><item><title>Macro-Scale Effects on Sub-Grid Closures in Gas-Solid Riser Flows</title><link>https://josephmouallem.github.io/research/multiphase-riser-flows/</link><pubDate>Fri, 01 Jun 2018 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/research/multiphase-riser-flows/</guid><description>&lt;h2 id="motivation">Motivation&lt;/h2>
&lt;p>Sub-grid closures for two-fluid models are traditionally derived at a single scale, but this work demonstrates that flow topology at the system scale strongly affects closure accuracy. Accounting for these effects is essential for predictive industrial riser flow simulations.&lt;/p>
&lt;h2 id="background">Background&lt;/h2>
&lt;p>Filtered two-fluid formulations of gas-solid fluidized flows require closure
models to deal with sub-grid filtered parameters. These closures are derived by
filtering the results of meso-scale highly resolved simulations (HRS) with
two-fluid modeling, and then applying them on the coarse large-scale simulation
(LSS) grid.&lt;/p>
&lt;figure id="figure-closure-strategy-a-highly-resolved-simulation-with-the-two-fluid-model-and-microscopic-closures-is-filtered-to-provide-sub-grid-closures-for-the-coarse-large-scale-filtered-two-fluid-model">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Closure strategy: a highly resolved simulation with the two-fluid model and microscopic closures is filtered to provide sub-grid closures for the coarse, large-scale filtered two-fluid model." srcset="
/research/multiphase-riser-flows/filtered-parameters_huf04d603bef027e576909f98379d5017e_97768_e7c97ecc5a354493e5edd076b6658052.webp 400w,
/research/multiphase-riser-flows/filtered-parameters_huf04d603bef027e576909f98379d5017e_97768_c6e40025e761b84a7546c3f8d7a63ad3.webp 760w,
/research/multiphase-riser-flows/filtered-parameters_huf04d603bef027e576909f98379d5017e_97768_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/multiphase-riser-flows/filtered-parameters_huf04d603bef027e576909f98379d5017e_97768_e7c97ecc5a354493e5edd076b6658052.webp"
width="760"
height="391"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Closure strategy: a highly resolved simulation with the two-fluid model and microscopic closures is filtered to provide sub-grid closures for the coarse, large-scale filtered two-fluid model.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="the-question">The question&lt;/h2>
&lt;p>Trusting in scale separation, the correlation of filtered parameters has
traditionally been performed against meso-scale filtered data only, disregarding
any macro-scale effects. &lt;strong>In this work, the correctness of that practice is
tested — and it fails.&lt;/strong>&lt;/p>
&lt;h2 id="approach">Approach&lt;/h2>
&lt;p>Two macro-scale parameters associated with flow topology are considered for their
effects on the relevant filtered parameters: the average solid volume fraction and
the average gas Reynolds number. Highly resolved simulations are filtered while
holding each of these macro-scale parameters constant at various levels. The
interest is directed toward the dilute conditions typical of riser flows.&lt;/p>
&lt;figure id="figure-instantaneous-solid-volume-fraction-for-increasing-solids-loading-left-to-right-and-increasing-gas-reynolds-number-top-to-bottom-the-cluster-structure--and-therefore-the-sub-grid-closure--depends-strongly-on-both-macro-scale-parameters">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Instantaneous solid volume fraction for increasing solids loading (left to right) and increasing gas Reynolds number (top to bottom). The cluster structure — and therefore the sub-grid closure — depends strongly on both macro-scale parameters." srcset="
/research/multiphase-riser-flows/riser-flow_hu4db40483cf06ee0181befb9bdcc0261d_242512_76b7384a04a339bf73435483702f7850.webp 400w,
/research/multiphase-riser-flows/riser-flow_hu4db40483cf06ee0181befb9bdcc0261d_242512_01cdd1b61e40386ad3edc6e5381e535a.webp 760w,
/research/multiphase-riser-flows/riser-flow_hu4db40483cf06ee0181befb9bdcc0261d_242512_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/multiphase-riser-flows/riser-flow_hu4db40483cf06ee0181befb9bdcc0261d_242512_76b7384a04a339bf73435483702f7850.webp"
width="490"
height="760"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Instantaneous solid volume fraction for increasing solids loading (left to right) and increasing gas Reynolds number (top to bottom). The cluster structure — and therefore the sub-grid closure — depends strongly on both macro-scale parameters.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="the-drag-closure-is-not-scale-separated">The drag closure is not scale separated&lt;/h2>
&lt;p>The drag coefficient correction H, the single most influential sub-grid term, is
the clearest evidence of the failure of scale separation. Correlating H against
the meso-scale filtered variables alone leaves a systematic spread that is set
entirely by the macro-scale state of the flow.&lt;/p>
&lt;figure id="figure-drag-coefficient-correction-h-against-the-filtered-solid-volume-fraction-a-effect-of-the-domain-average-gas-reynolds-number-at-fixed-solids-loading-b-effect-of-the-domain-average-solid-volume-fraction-at-fixed-reynolds-number-curves-that-should-collapse-if-scale-separation-held-instead-fan-out-by-a-factor-of-two-or-more">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Drag coefficient correction H against the filtered solid volume fraction. (a) Effect of the domain average gas Reynolds number at fixed solids loading; (b) effect of the domain average solid volume fraction at fixed Reynolds number. Curves that should collapse if scale separation held instead fan out by a factor of two or more." srcset="
/research/multiphase-riser-flows/drag-correction_huc01044e791deef848fd9405cab75ea4d_134539_3385d5cddfa722f869717c5ce958575e.webp 400w,
/research/multiphase-riser-flows/drag-correction_huc01044e791deef848fd9405cab75ea4d_134539_cf999186d89f7972b3dfc784723b59f0.webp 760w,
/research/multiphase-riser-flows/drag-correction_huc01044e791deef848fd9405cab75ea4d_134539_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/multiphase-riser-flows/drag-correction_huc01044e791deef848fd9405cab75ea4d_134539_3385d5cddfa722f869717c5ce958575e.webp"
width="760"
height="273"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Drag coefficient correction H against the filtered solid volume fraction. (a) Effect of the domain average gas Reynolds number at fixed solids loading; (b) effect of the domain average solid volume fraction at fixed Reynolds number. Curves that should collapse if scale separation held instead fan out by a factor of two or more.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="the-same-holds-for-the-stress-closures">The same holds for the stress closures&lt;/h2>
&lt;p>The effect is not limited to drag. The filtered solid pressure, which closes the
solid-phase momentum equation, shifts by roughly an order of magnitude across the
range of macro-scale conditions at an otherwise identical filtered state.&lt;/p>
&lt;figure id="figure-dimensionless-filtered-solid-pressure-against-the-filtered-solid-volume-fraction-a-varying-the-domain-average-gas-reynolds-number-b-varying-the-domain-average-solid-volume-fraction-the-vertical-spread-at-fixed-filtered-state-is-the-macro-scale-signature-that-traditional-closures-ignore">
&lt;div class="d-flex justify-content-center">
&lt;div class="w-100" >&lt;img alt="Dimensionless filtered solid pressure against the filtered solid volume fraction. (a) Varying the domain average gas Reynolds number; (b) varying the domain average solid volume fraction. The vertical spread at fixed filtered state is the macro-scale signature that traditional closures ignore." srcset="
/research/multiphase-riser-flows/filtered-solid-pressure_hu35ff66501e13845ed4c67b4ec7342ad0_126256_654a40ad182d6f9a2843c886c7f955e1.webp 400w,
/research/multiphase-riser-flows/filtered-solid-pressure_hu35ff66501e13845ed4c67b4ec7342ad0_126256_66a8bb822df64b7f8e0788e19249cd8c.webp 760w,
/research/multiphase-riser-flows/filtered-solid-pressure_hu35ff66501e13845ed4c67b4ec7342ad0_126256_1200x1200_fit_q100_h2_lanczos_3.webp 1200w"
src="https://josephmouallem.github.io/research/multiphase-riser-flows/filtered-solid-pressure_hu35ff66501e13845ed4c67b4ec7342ad0_126256_654a40ad182d6f9a2843c886c7f955e1.webp"
width="760"
height="266"
loading="lazy" data-zoomable />&lt;/div>
&lt;/div>&lt;figcaption>
Dimensionless filtered solid pressure against the filtered solid volume fraction. (a) Varying the domain average gas Reynolds number; (b) varying the domain average solid volume fraction. The vertical spread at fixed filtered state is the macro-scale signature that traditional closures ignore.
&lt;/figcaption>&lt;/figure>
&lt;h2 id="conclusion">Conclusion&lt;/h2>
&lt;p>Results show that &lt;strong>both&lt;/strong> macro-scale parameters should be accounted for in
sub-grid correlations if higher accuracy is to be achieved.&lt;/p>
&lt;h2 id="reference">Reference&lt;/h2>
&lt;p>Mouallem, J., Chavez-Cussy, N., Niaki, S. R. A., Milioli, C. C., and Milioli,
F. E.: &lt;em>On the effects of the flow macro-scale over meso-scale filtered parameters
in gas-solid riser flows&lt;/em>, &lt;strong>Chemical Engineering Science&lt;/strong>, 182, 200-211, 2018.
&lt;a href="https://doi.org/10.1016/j.ces.2018.02.039" target="_blank" rel="noopener">https://doi.org/10.1016/j.ces.2018.02.039&lt;/a>&lt;/p></description></item><item><title>Development of a high-resolution coupled SHiELD-MOM6-LM4 – Part 2: Model overview, coupling technique, and evaluation of hydrological extremes during Hurricane Helene</title><link>https://josephmouallem.github.io/publication/shield-mom6-lm4-coupled-model/</link><pubDate>Thu, 27 Aug 2026 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/publication/shield-mom6-lm4-coupled-model/</guid><description/></item><item><title>Integrating a Three-Dimensional TKE-Based Subgrid Diffusion Scheme Into GFDL FV3</title><link>https://josephmouallem.github.io/publication/tke-subgrid-diffusion-fv3/</link><pubDate>Mon, 01 Jun 2026 00:00:00 +0000</pubDate><guid>https://josephmouallem.github.io/publication/tke-subgrid-diffusion-fv3/</guid><description/></item><item><title>Development of a high-resolution coupled 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