Convergence of upwind schemes for a stationary shock

Lorenz, Jens

doi:10.1090/S0025-5718-1986-0815830-2

Convergence of upwind schemes for a stationary shock
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Math. Comp. 46 (1986), 45-57 Request permission

Abstract:

A nonlinear first-order boundary value problem with discontinuous solutions is considered. It arises in the study of gasflow through a duct and allows, in general, for multiple solutions. New convergence results for three difference schemes are presented and the sharpness of numerical layers is established. For the EO-scheme, stability of a physically correct solution with respect to time evolution is shown.

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