翻訳と辞書
Words near each other
・ Hybrid balance
・ Hybrid bicycle
・ Hybrid bond graph
・ Hybrid Broadcast Broadband TV
・ Hybrid buses in London
・ Hybrid camel
・ Hybrid cardiac surgery
・ Hybrid Child
・ Hybrid coil
・ Hybrid computer
・ Hybrid computing
・ Hybrid coronary revascularization
・ Hybrid coupler
・ Hybrid cryptosystem
・ Hybrid Data Infrastructure
Hybrid difference scheme
・ Hybrid disc
・ Hybrid drive
・ Hybrid DVD
・ Hybrid electric bus
・ Hybrid electric truck
・ Hybrid electric vehicle
・ Hybrid electric vehicles in the United States
・ Hybrid event
・ Hybrid Exit
・ Hybrid ferry
・ Hybrid fibre-coaxial
・ Hybrid fibre-optic
・ Hybrid fruit
・ Hybrid functional


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Hybrid difference scheme : ウィキペディア英語版
Hybrid difference scheme

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.〕
:\frac(\rho\phi)+\nabla (\rho \mathbf \phi)\,= \nabla (\Gamma \cdot \operatorname \phi)+S_ \; ()
Where, \rho is density, \mathbf is the velocity vector, \Gamma is the diffusion coefficient and S_ is the source term. In this equation property, \phi can be temperature, internal energy or component of velocity vector \mathbf 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,
:\frac(\rho u \phi)\,= \frac\left(\Gamma\frac\right),\quad 0 \; ()
With boundary conditions, \phi (0)\,= \phi_0 and \phi (L)\, = \phi_, where L is the length, \phi_0 and \phi_ are the given values.

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
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.