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A Method for the Numerical Calculation of Hydrodynamic Shocks

Journal of Applied Physics · 1950 · Vol. 21(3) · pp. 232–237

J. VonNeumann✉(Institute for Advanced Study)Robert D. Richtmyer(Institute for Advanced Study)

Abstract

The equations of hydrodynamics are modified by the inclusion of additional terms which greatly simplify the procedures needed for stepwise numerical solution of the equations in problems involving shocks. The quantitative influence of these terms can be made as small as one wishes by choice of a sufficiently fine mesh for the numerical integrations. A set of difference equations suitable for the numerical work is given, and the condition that must be satisfied to insure their stabilty is derived.

Aquatic and Environmental Studies Computational Fluid Dynamics and Aerodynamics Advanced Numerical Methods in Computational MathematicsWork (physics)Set (abstract data type)Numerical analysisApplied mathematicsNumerical integrationMechanicsComputer scienceMathematicsPhysicsMathematical analysis

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