Thursday, January 30, 2025 11:00am to 12:00pm
About this Event
3700 O'Hara Street, Pittsburgh, PA 15261
2024-2025 ANSYS Distinguished Lecturer
Dr. Marsha Berger
Senior Research Scientist
Flatiron Institute
Professor Emeritus
NYU
Topic: Cartesian Cut-cell Methods for Flows in Complicated Geometries
Abstract: Cut-cell methods are popular for inviscid flow simulations since they handle complicated geometry in a robust and automatic way. These methods use regular Cartesian meshes except at cells that intersect the geometry surface. Discretization has been a challenge with cut cells because their irregularity can lead to loss of accuracy, For time dependent problems and explicit difference schemes, instability at the small cut cells becomes an issue. We review some popular approaches to the `small cell' problem, and describe our new approach called State Redistribution, which stabilizes finite volume schemes in a practical post-processing step. It can be generalized to high-order accuracy, and has provably monotone weights. Computations in two and three space dimensions are shown. We end with a discussion of open problems.
Bio: Marsha Berger received her PhD from Stanford in 1982. She went from postdoc to professor of computer science and mathematics at the Courant Institute of New York University. She was a frequent visitor to NASA Ames Research Center, where she she was on the team that developed the Cartesian cut-cell method Cart3D. In 2022 she retired from NYU as Professor Emeritus and became a Senior Research Scientist in the Center for Computational Mathematics at the Flatiron Institute, which is part of the Simons Foundation. Marsha served on the SIAM Council and Board, and on numerous committees. She was elected to the National Academy of Science in 2000.
Thursday, January 30, 2025
102 BEH
11:00am
Guest Host: Dipankar Choudhury from ANSYS
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