In the immersed interface method (IIM), the boundaries of objects in a fluid are treated as immersed interfaces in the fluid. Singular forces are used to represent the effects of the objects on the fluid, and jump conditions induced by the singular forces are incorporated into numerical schemes to simulate the flow. Previously, the immersed interface method for simulating smooth rigid objects with prescribed motion in 2D & 3D incompressible viscous flows has been developed by Xu. In this thesis, we extend the method for rigid objects with non-smooth boundaries by computing necessary jump conditions using line segment representation of 2D objects. We also present the parallelization strategy for the development of a high-performance program for distributed-memory parallel computing with Message Passing Interface (MPI ). Different tests are performed, and numerical results and comparisons are given to study the accuracy, efficiency, and robustness of our method.
|Commitee:||Geng, Weihua, Krueger, Paul, Lee, Barry, Tausch, Johannes|
|School:||Southern Methodist University|
|School Location:||United States -- Texas|
|Source:||DAI-B 78/11(E), Dissertation Abstracts International|
|Subjects:||Applied Mathematics, Computer Engineering, Mechanical engineering|
|Keywords:||CFD, Immersed interface method, Incompressible viscous flow, Non-smooth boundaries, Parallel computing|
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