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To avoid the local oscillations that still remain using the streamline-upwind/Petrov-Galerkin formulation for the scalar convection-diffusion equation, the introduction of a nonlinear crosswind dissipation is proposed. It is shown that the method is less overdiffusive than other discontinuity-capturing techniques and has better numerical behavior. The design of the crosswind diffusion is based on the study of the discrete maximum principle for some simple cases.
Published on 01/01/1993
DOI: 10.1016/0045-7825(93)90213-H
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 138
Crossref Cited-by Times cited: 131
OpenCitations.net Times cited: 59