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- W44202392 abstract "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." @default.
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- W44202392 date "1991-01-01" @default.
- W44202392 modified "2023-09-27" @default.
- W44202392 title "Recent Developments in Shock-Capturing Schemes" @default.
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