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.
Descriptors:
Subject Categories:
- Numerical Mathematics