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Finite Difference Scheme for a Convection-Diffusion Equation

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Computational Aerodynamics and Fluid Dynamics

Part of the book series: Scientific Computation ((SCIENTCOMP))

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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.

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© 2002 Springer-Verlag Berlin Heidelberg

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Chattot, JJ. (2002). Finite Difference Scheme for a Convection-Diffusion Equation. In: Computational Aerodynamics and Fluid Dynamics. Scientific Computation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05064-4_8

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  • DOI: https://doi.org/10.1007/978-3-662-05064-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07798-2

  • Online ISBN: 978-3-662-05064-4

  • eBook Packages: Springer Book Archive

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