Finite Difference Scheme for a Convection-Diffusion Equation
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.
KeywordsFinite Difference Scheme Shock Structure Inviscid Limit Finite Difference Operator Viscous Burger
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