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Marsha Berger Professor of Computer Science and Mathematics Courant Institute, New York University |
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PUTTING TOGETHER THE PIECES: from CAD to Parametric Flow Solutions for Complex Geometries |
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Abstract: Practical flow simulations in complicated geometries can take days or weeks to prepare, with the actual flow solution a tiny fraction of the time. This has led to efforts to build robust grid generators and flow solvers that make it easier to work with complex geometries specified by engineering CAD systems. We describe the Cartesian grid embedded boundary approach and some of the technical issues that arise, which include fast and reliable calculation of the intersection of the boundary with the mesh, stable and accurate discretizations at the irregular boundary cells, and parallelization of the subsequent flow solver. This talk will also include a discussion of open problems. Results of several large scale calculations will be shown.
Biography: Marsha Berger received her PhD from Stanford University in 1982. Since then she has been at the Courant Institute at New York University, where she is a professor of computer science and mathematics, and was Deputy Director of the Institute from 1997–2003. Her research interests are in adaptive methods for hyperbolic equations, computational fluid dynamics, and parallel computing. She was elected to the National Academy of Sciences in 2000. She is spending the year on sabbatical at NASA Ames, where she has also spent summers since 1991 working with collaborators, and she is a frequent visitor to the DOE labs in Berkeley and Livermore.