Accession Number:

ADA232652

Title:

Recent Developments in Shock-Capturing Schemes

Descriptive Note:

Final contractor rept.

Corporate Author:

INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s):

Report Date:

1991-01-01

Pagination or Media Count:

13.0

Abstract:

This paper reviews the development of the shock capturing methodology, paying special attention to the increasing nonlinearity in its design and it relation to interpolation. It is well-known that high-order approximations to a discontinuous function generate spurious oscillation near the discontinuity Gibbs phenomenon. Unlike standard finite difference methods which use a fixed stencil, modern shock-capturing schemes use an adaptive stencil which is selected according to the local smoothness of the solution. Near discontinuities this technique automatically switches to one-sided approximations, thus avoiding the use of discontinuous data which brings about spurious oscillations.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE