Accession Number:

ADA024426

Title:

On Finite-Difference Approximations and Entropy Conditions for Shocks.

Descriptive Note:

Interim rept.,

Corporate Author:

NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Report Date:

1976-01-01

Pagination or Media Count:

50.0

Abstract:

Weak solutions of hyperbolic conservation laws are not uniquely determined by their initial values an entropy condition is needed to pick out the physically relevant solution. The question arises whether finite-difference approximations converge to this particular solution. It is shown in this paper that in the case of a single conservation law, monotone schemes, when convergent, always converge to the physically relevant solution. Numerical examples show that this is not always the case with nonomonotone schemes, such as the Lax-Wendroff scheme. Author

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE