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

Journal Article · Sun Oct 01 00:00:00 EDT 1978 · Math. Comput.; (United States)

DOI:https://doi.org/10.2307/2006338· OSTI ID:6498143

Hicks, D L

The artification 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-Richymyer scheme was used in calculating wave progagation 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.

• Research Organization: Department of Energy
• OSTI ID: 6498143
• Journal Information: Math. Comput.; (United States), Journal Name: Math. Comput.; (United States) Vol. 32:1144; ISSN MCMPA
• Country of Publication: United States
• Language: English

Related Subjects

658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPUTER CODES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUIDS
GASES
MECHANICAL PROPERTIES
STABILITY
VISCOSITY
W CODES
WAVE PROPAGATION