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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Stability analysis of WONDY (a hydrocode based on the artificial viscosity method of von Neumann and Richtmyer) for a special case of Maxwell's law


Author: D. L. Hicks
Journal: Math. Comp. 32 (1978), 1123-1130
MSC: Primary 73.65
MathSciNet review: 0483944
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Abstract: The artificial viscosity method of von Neumann and Richtmyer was originally designed and analyzed for stability in the case when the material was an ideal gas. Recently a hydrocode (WONDY) based on the von Neumann-Richtmyer scheme was used in calculating wave propagation problems in materials obeying a form of Maxwell's material law; signs of an unstable difference scheme appeared. A stability analysis shows that the timestep restrictions required for stability in certain cases can be more stringent for material laws of the Maxwell type than they are for material laws of the ideal gas type.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1978-0483944-0
PII: S 0025-5718(1978)0483944-0
Article copyright: © Copyright 1978 American Mathematical Society