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Finite volume method for three-dimensional diffusion problem
・ Finite volume method for two dimensional diffusion problem
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Finite volume method for three-dimensional diffusion problem : ウィキペディア英語版
Finite volume method for three-dimensional diffusion problem
Finite volume method (FVM) is a numerical method. FVM in computational fluid dynamics is used to solve the partial differential equation which arises from the physical conservation law by using discretisation. Convection is always followed by diffusion and hence where convection is considered we have to consider combine effect of convection and diffusion. But in places where fluid flow plays a non-considerable role we can neglect the convective effect of the flow. In this case we have to consider more simplistic case of only diffusion. The general equation for steady convection-diffusion can be easily derived from the general transport equation for property \phi by deleting transient.
General transport equation is defined as:
\frac + \operatorname(\rho \phi \upsilon) = \operatorname(\Gamma \operatorname \phi) + S_\phi …………………………………………….1
Where,
\phi is a conservative form of all fluid flow,

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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