Marsha Berger

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We describe a method to solve the compressible time-dependent Euler equations using Cartesian grids for domains involving xed or moving geometries. We describe the concept of a mirror ow extrapolation of a given solution over a reeecting wall which may be curved or moving at a xed or varying speed. We use this mirror ow to develop a Cartesian grid method to(More)
Acknowledgements I would like to thank my advisor Professor Chee K. Yap for his guidance during my PhD study, papers writing and thesis work. It has been a great pleasure to work with him and learn from him. I am also grateful to the members of my thesis committee for their time and comments to improve this thesis. My thesis committee members are: Professor(More)
We describe our approach to computing accurate solutions for time dependent fluid flows in complex geometry. We use regular, embedded, Cartesian grids wherever possible. We describe our adaptive mesh refinement algorithm and our strategy for treating geometric complexity using non-body-fitted Cartesian grids. The trade-offs of block-structured vs.(More)
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