Recent Developments in Shock-Capturing Schemes
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1991
- Accession Number
- ADA232652
Entities
People
- Ami Harten