Derivation of a Generalized Von Neumann Pseudo-Viscosity with Directional Properties
Abstract
An absolute scalar pseudo-viscosity ("q") expression for handling shocks automatically in numerical calculations of three-dimensional fluid dynamics problems is derived. The expression is a generalization of that derived by von Neumann and Richtmyer in the sense that the expressions are identical for a plane shock wave. The basic assumption made is that a shock will be formed in a material when there is compression in the direction of acceleration; this assumption seems "reasonable" physically, since this condition indicates that a grid established about a point with such compression will collapse, i.e. the "rear" of the grid will overtake the "front". The expression "q" is derived for a generalized curvilinear coordinate space and the expression is given for the three commonly used coordinate systems. The expression is also written for the plane rectangular case and the cylindrical case with no angular motion to be used in connection with the HEMP code.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 21, 1965
- Accession Number
- ADA382523
Entities
People
- Gerald T. Richards
Organizations
- University of California