Accession Number : ADA189392

Title :   Efficient Implementation of Essentially Non-Oscillatory Shock Capturing Schemes.

Descriptive Note : Final rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Shu, Chi-Wang

PDF Url : ADA189392

Report Date : May 1987

Pagination or Media Count : 74

Abstract : In the computation of discontinuous solutions of hyperbolic conservation laws, TVD (total variation diminishing), TVB (total variation bounded) and the recently developed ENO (essentially non-oscillatory) schemes have proven to be very useful. In this paper two improvements are discussed: a simple TVD Runge-Kutta type time discretization, and an ENO construction procedure based on fluxes rather than on cell averages. These improvements simplify the schemes considerably--especially for multi dimensional problems or problems with forcing terms. Preliminary numerical results are also given. Keywords: Construction laws; Essentially non oscillatory; TVD; Runge Kutta method; Numerical analysis.

Descriptors :   *FINITE DIFFERENCE THEORY, *SHOCK, CELLS, CONSERVATION, HYPERBOLAS, MEAN, NUMERICAL ANALYSIS, RUNGE KUTTA METHOD, SIZES(DIMENSIONS), TIME, EIGENVECTORS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE