Accession Number:

ADA218144

Title:

Triangle Based TVD (Total Variation Diminishing) Schemes for Hyperbolic Conversation Laws

Descriptive Note:

Final rept.

Corporate Author:

INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Report Date:

1990-01-01

Pagination or Media Count:

31.0

Abstract:

A triangle based TVD total variation diminishing scheme for the numerical approximation of hyperbolic conservation laws in two space dimensions is constructed. The novelty of the scheme lies in the nature of the preprocessing of the cell averaged data, which is accomplished via a nearest neighbor linear interpolation followed by a slope limiting procedure. Two such limiting procedures are suggested. The resulting method is considerably more simple than other triangle based non-oscillatory approximations which, like this scheme, approximate the flux to second order accuracy. Numerical results for linear advection and Burgers equation are presented. Keywords Hyperbolic conservation laws Limiters Triangular threads.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE