On central-difference and upwind schemes

R. C. Swanson*, Eli Turkel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A class of numerical dissipation models for central-difference schemes constructed with second- and fourth-difference terms is considered. The notion of matrix dissipation associated with upwind schemes is used to establish improved shock capturing capability for these models. In addition, conditions are given that guarantee that such dissipation models produce a TVD scheme. Appropriate switches for this type of model to ensure satisfaction of the TVD property are presented. Significant improvements in the accuracy of a central-difference scheme are demonstrated by computing both inviscid and viscous transonic airfoil flows.

Original languageEnglish
Pages (from-to)292-306
Number of pages15
JournalJournal of Computational Physics
Issue number2
StatePublished - Aug 1992


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