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  <title><![CDATA[PhD Defense by Mengdi Wang]]></title>
  <body><![CDATA[<p><strong>Title:</strong>&nbsp; High-Performance Multiscale Fluid Simulation: GPU-Based Representations, Solvers, and Adaptive Algorithms</p><p><strong>Date:</strong>&nbsp;Friday, 17th&nbsp; April 2026</p><p><strong>Time:</strong>&nbsp;10:00 AM - 12:00 PM (Eastern Time)</p><p><strong>Location:</strong>&nbsp;CODA C0908 Home Park</p><p><strong>Teams Link:</strong>&nbsp;<a href="https://teams.microsoft.com/l/meetup-join/19%3ameeting_NzQyYTVjMzQtZjY1NS00ZDc0LTljOGQtYjY1YzhkZGI0MjQ2%40thread.v2/0?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%22be1e8809-9fed-468d-b479-4e061696ba91%22%7d" title="https://teams.microsoft.com/l/meetup-join/19%3ameeting_NzQyYTVjMzQtZjY1NS00ZDc0LTljOGQtYjY1YzhkZGI0MjQ2%40thread.v2/0?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%22be1e8809-9fed-468d-b479-4e061696ba91%22%7d">https://teams.microsoft.com/l/meetup-join/19%3ameeting_NzQyYTVjMzQtZjY1NS00ZDc0LTljOGQtYjY1YzhkZGI0MjQ2%40thread.v2/0?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%22be1e8809-9fed-468d-b479-4e061696ba91%22%7d</a></p><p>&nbsp;</p><p><strong>Mengdi Wang</strong></p><p>Ph.D. Student</p><p>School of Interactive Computing</p><p>Georgia Institute of Technology</p><p>&nbsp;</p><p><strong>Committee members</strong></p><p>Dr. Bo Zhu (advisor): School of Interactive&nbsp;Computing, Georgia Institute of Technology</p><p>Dr. Gregory Turk: School of Interactive&nbsp;Computing, Georgia Institute of Technology</p><p>Dr. Sehoon Ha: School of Interactive&nbsp;Computing, Georgia Institute of Technology</p><p>Dr. Eftychios Sifakis: School of Computer, Data &amp;&nbsp;Information Sciences, University of Wisconsin-Madison</p><p>Dr. Matthew Cong: Senior Research Scientist, NVIDIA Corporation</p><p>&nbsp;</p><p><strong>Abstract</strong></p><p>In this thesis, we develop representations, solvers, and transport algorithms for high-performance multiscale fluid simulation, addressing the challenge that important fluid phenomena such as thin films, sub-grid interfaces, and fine vortical structures span spatial scales far smaller than the simulation domain. First, we introduce specialized representations for regimes where standard volumetric methods are insufficient, including a codimensional SPH method for thin fluid films and a sub-grid interface tracking approach on triangle meshes, enabling accurate and efficient simulation with strong geometric fidelity and mass conservation. Next, we present a fully GPU-resident adaptive simulation framework for large-scale three-dimensional flows, combining an efficient octree data structure, a matrix-free algebraic multigrid solver, and a hybrid flow-map transport scheme to capture rich vortical structures on adaptive grids. Finally, we demonstrate that the proposed system achieves effective resolutions of hundreds of millions of cells on a single GPU and produces high-fidelity simulations with significantly enhanced vortical detail. These results show that combining specialized representations with adaptive GPU algorithms provides an effective approach to simulating multiscale fluid phenomena.</p><p>&nbsp;</p>]]></body>
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