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Finite Difference Scheme for a Convection-Diffusion Equation

  • Jean-Jacques Chattot
Part of the Scientific Computation book series (SCIENTCOMP)

Abstract

First-order model equations for convection have been studied in previous chapters, i.e. the linear convection equation (2.12) and the Burgers’ equation (inviscid) (4.9). The heat equation (2.8) is a model for diffusion. When both phenomena are present, as for example in boundary-layer flows, the PDE must contain first as well as second partial derivatives in space.

Keywords

Finite Difference Scheme Shock Structure Inviscid Limit Finite Difference Operator Viscous Burger 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Jean-Jacques Chattot
    • 1
  1. 1.Department of Mechanical and Aeronautical EngineeringUniversity of CaliforniaDavisUSA

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