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Solving time‐dependent PDEs using the material point method, a case study from gas dynamics
Author(s) -
Tran L. T.,
Kim J.,
Berzins M.
Publication year - 2009
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2031
Subject(s) - gas dynamics , context (archaeology) , material point method , point (geometry) , computational fluid dynamics , computer science , mathematics , dynamics (music) , mathematical optimization , statistical physics , mechanics , finite element method , physics , thermodynamics , geometry , paleontology , acoustics , biology
The material point method (MPM) developed by Sulsky and colleagues is currently being used to solve many challenging problems involving large deformations and/or fragementations with some success. In order to understand the properties of this method, an analysis of the considerable computational properties of MPM is undertaken in the context of model problems from gas dynamics. The MPM method in the form used here is shown both theoretically and computationally to have first‐order accuracy for a standard gas dynamics test problem. Copyright © 2009 John Wiley & Sons, Ltd.