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The hybrid difference scheme is a method used in the numerical solution for convection–diffusion problems. It was first introduces by Spalding (1970). It is a combination of central difference scheme and upwind difference scheme as it exploits the favorable properties of both of these schemes.〔Scarborough, J.B.(1958) Numerical Mathematical Analysis, 4th edn, Johns Hopkins University Press, Baltimore, MD.〕〔Spalding, D.B. (1972). A Novel Finite-difference Formulation for Differential Expression Involving Both First and Second Derivatives, Int. J. Numer. Methods Eng., Vol. 4.〕 ==Introduction〔Pollard, A. and Siu, A. L. W. (1982). The Calculation of Some Laminar Flows Using Various Discretization Schemes, Comput. Methods Appl. Mech. Eng., Vol. 35.〕== Hybrid difference scheme is a method used in the numerical solution for convection-diffusion problems. These problems play important roles in computational fluid dynamics. It can be described by the general partial equation as follows:〔Borris, J.P. and Brook, D.L. (1976). Solution of the Continuity Equation by the Method of Flux Corrected Transport, J. Comput. Phys., Vol. 16.〕 : () Where, is density, is the velocity vector, is the diffusion coefficient and is the source term. In this equation property, can be temperature, internal energy or component of velocity vector in x, y and z directions. For one-dimensional analysis of convection-diffusion problem in steady state and without the source the equation reduces to, : 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Hybrid difference scheme」の詳細全文を読む スポンサード リンク
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