Why Upwinding is Reasonable

  • Myron B. Allen


Upwind-biased discrete approximations have a distinguished history in numerical fluid mechanics, dating at least to von Neumann and Richtmyer (1950). Lately, however, upwinding has come under fire in water resources engineering. Among the most effective critics of upwind techniques are Gresho and Lee (1980), who take umbrage at the smearing of steep gradients in solutions of partial differential equations. While this viewpoint has cogency, a blanket condemnation of upwinding would be injudicious. There exist fluid flows for which upstream-biased discretizations are not only valid but in fact mathematically more appropriate than central approximations having higher-order accuracy.


Weak Solution Upwind Scheme Numerical Dissipation Galerkin Scheme Nonlinear Hyperbolic Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Myron B. Allen
    • 1
  1. 1.University of WyomingUSA

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