A meshfree method for the Poisson equation with 3D wall-bounded flow application
Name
714615024-MIT.pdf
Description
Full printable version
Size
4.99 MB
Format
Adobe PDF
Checksum (MD5)
cb35b603ecb9d1e2d67a62d64fffdd04
Author(s)
Vasilyeva, Anna, S.M. Massachusetts Institute of Technology
Advisor(s)
Ahmed F. Ghoniem.
Alternative Title
Mesh free method for the Poisson equation with 3D wall-bounded flow application
Date Issued
2010
Publisher
Massachusetts Institute of Technology
Abstract
The numerical approximation of the Poisson equation can often be found as a subproblem to many more complex computations. In the case of Lagrangian approaches of flow equations, the Poisson equation often needs to be solved on an irregular point distribution. Currently, mainly unstructured mesh-based approaches are used. Meshfree methods present a way to approximate differential operators on unstructured point clouds without the need for mesh generation. In this thesis, a 3d meshfree finite difference Poisson solver is presented. Its performance has been studies based on numerical convergence, parallel efficiency, and computational cost. Practical application of the solver is presented in a simulation of a potential flow field in a wall-bounded domain.
Description
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 58-60).
Subjects
Aeronautics and Astronautics.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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