计算流体力学（传热传质）patankar06

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1、x-momentumequationorfori=1(xdirection)ui=u1=u:generalmomentumequation:x-momentumequationdiscretizedinthexdirection:PWEweNSnseenesexyy-momentumequationorfori=2(ydirection)ui=u2=v:generalmomentumequation:y-momentumequationdiscretizedintheydirection:xySPWEweNnsnnnenwz-momentumequationo

2、rfori=3(zdirection)ui=u3=w:generalmomentumequation:z-momentumequationdiscretizedinthezdirection:BxzPWEweTtbtttetwFirstguessforaguessed(wrong)pressurefieldp*wegetawrongvelocityfieldu*,v*,w*bysolvingthemomentumequations:Pressureandvelocitycorrectionsoneneedstocalculate:thepressurecor

3、rectionsp'andthevelocitycorrectionsu',v',w'thusweneedtomakecorrections:Linkofpressureandvelocitycorrectionsgiving:0Linkofpressureandvelocitycorrectionsonestillneedsanequationfor:thepressurecorrectionsp'orthevelocitycorrectionsu',v',w'Pressurecorrectionequationmakeuseofthecontinuity

4、equation:discretized:PressurecorrectionequationSIMPLEalgorithmGuessthepressurefieldp*Solvethemomentumequationstoobtainu*,v*,w*Solvethep'equation(continuity)Correctpressurefieldp=p*+p'Calculatethevelocitycorrectionsu',v',w'Correctvelocityfieldu=u*+u',v=v*+v'w=w*+w'Treatthecorrectedpr

5、essurepasanewguessp*andgoto