An Eulerian Method for Calculating Strength Dependent Deformation. Part Two: Description of the Finite Difference Equations
GULF GENERAL ATOMIC CO SAN DIEGO CA
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In the past four years several authors have reported Eulerian hydrodynamic codes for the computation of compressible fluid flows in which the independent variables are two space dimensions and time. The present paper describes the generalization of such a code to include also the forces due to strength which arise within the material to resist shear deformation. In choosing the precise model for such a generalization, it is useful to recall that Eulerian codes have proven to be especially suited to the description of flows in which material elements undergo extreme distortion. It is in precisely this area of treating extreme distortions that Lagrangian codes, despite their success in treating other aspects of strength-dependent deformation, encounter serious difficulties. In order, then, to fill the apparent need for a strength code which is capable of the simple and efficient computation of flows involving large deformations, the present code development was initiated in 1965. The code has subsequently been the subject of continuing development during the course of a number of applications.
- Fluid Mechanics