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Published in:
2007 | OriginalPaper | Chapter
Fuzzy Grid Method for Lagrangian Gas Dynamics Equations
Authors : O.V. Diyankov, I.V. Krasnogorov
Published in: Meshfree Methods for Partial Differential Equations III
Publisher: Springer Berlin Heidelberg
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This paper addresses the numerical solution of the system of the Lagrangian gas dynamics equation. Usually Finite Difference Methods are applied for the simulation of fluid dynamics. However, for problems with large deformations as the application under consideration they encounter problems with intercrossed numerical grids. This disadvantage can be overcome by meshfree methods which do not require a numerical grid like the Smoothed Particle Hydrodynamics method in principle [1], [2]. We show, however, that this approach does not work properly for the solution of the Lagrangian system for hydrodynamic flow, except for special cases, because of conservation violations.