A study of implicit difference schemes for inviscid equations

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The analysis presented in this paper relates to the numerical difficulties encountered in obtaining a solution of the Full Viscous Shock Layer (FVSL) equations for flow past blunt bodies. A simple model problem consisting of two first order inviscid equations are shown to exhibit all the numerical difficulties encountered by the FVSL Set. In an effort to alleviate these difficulties, several numerical schemes for simultaneously solving the two first order equations have been investigated. It has been found that a staggered coupled implicit difference scheme for solving these two equations eliminates the numerical problems. © 1980.




Srivastava, B. N., Werle, M. J., & Davis, R. T. (1980). A study of implicit difference schemes for inviscid equations. Computers and Fluids, 8(4), 413–420. https://doi.org/10.1016/0045-7930(80)90003-1

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