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A perturbational fourth-order upwind finite difference scheme for the convection-diffusion equation - MaRDI portal

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A perturbational fourth-order upwind finite difference scheme for the convection-diffusion equation (Q686684)

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scientific article; zbMATH DE number 428615
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English
A perturbational fourth-order upwind finite difference scheme for the convection-diffusion equation
scientific article; zbMATH DE number 428615

    Statements

    A perturbational fourth-order upwind finite difference scheme for the convection-diffusion equation (English)
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    10 October 1993
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    A compact fourth-order upwind finite-difference scheme for the convection-diffusion equation is developed, by the scheme perturbation technique and the compact second-order upwind scheme. The basic fourth- order scheme, which like the classical upwind scheme is free of cell Reynolds-number limitation in terms of spurious oscillation and involves only immediately neighbouring nodal points, is presented for the one- dimensional equation, and subsequently generalized to multidimensional cases.
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    natural convective heat transfer
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    scheme perturbation technique
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