# volumetric conservation equation in PHOENICS code

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 July 31, 2000, 06:13 volumetric conservation equation in PHOENICS code #1 mehdi Guest   Posts: n/a In case of the two methods HOL and SEM implemented in PHOENICS code for simulating free surface flows, the continuity equation was formulated in term of volumetric conservation as D(Ln(RHO))/Dt+du/dx+dv/dy+dw/dz=0. REF: Free surface flow and heat transfer in cavities: the sea algorithm, K.A Percilious & al 1995 ,Numerical heat transfer Part B, 27:487-507, 1995 1- what are the steps followed to discretise this equation by finite volume method ? 2- What is the discretized form of this equation ? Thank you.

 July 31, 2000, 12:16 Re: volumetric conservation equation in PHOENICS c #2 Sergei Zhubrin Guest   Posts: n/a The details of HOL and SEM methods for dealing with free surface flows in PHOENICS are fully described in related documentation available for on-line ordering in CHAM's cfdSHOP at http://www.simuserve.com/cfd-shop/: 1 HOL at http://www.simuserve.com/cfd-shop/tr307.htm 2 SEM at http://www.simuserve.com/cfd-shop/cfd88-4.htm Best regards Sergei Zhubrin

 July 31, 2000, 12:45 Re: volumetric conservation equation in PHOENICS c #3 mehdi Guest   Posts: n/a I know the two methods and I use them for applications - 1 HOL at http://www.simuserve.com/cfd-shop/tr307.htm - 2 SEM at http://www.simuserve.com/cfd-shop/cfd88-4.htm but there isn't more on the continuity equation formulated in term of volumetric conservation as D(Ln(RHO))/Dt+du/dx+dv/dy+dw/dz=0. The only other reference is: REF: Free surface flow and heat transfer in cavities: the sea algorithm, K.A Percilious & al 1995 ,Numerical heat transfer Part B, 27:487-507, 1995

 July 31, 2000, 14:09 Re: volumetric conservation equation in PHOENICS c #4 Sergei Zhubrin Guest   Posts: n/a Single-Phase Volumetric-Continuity Equation: The volumetric continuity equation is an option which is activated, for HOL and SEM methods, in preference to mass continuity. The equation is: AeUe-AwUw+AnVn-AsVs+AhWh-AlWl=Sp/RHOp It is assumed that the volume of the cell remains constant in time and Sp stands for source of mass for the cell; RHOp is in-cell density; Ue,Uw etc are the cell face velocity components; Ae, Aw etc are the cell face areas. The full account of all principal finite-volume equations embodied in PHOENICS can be found in TR99 at http://www.simuserve.com/cfd-shop/tr99sab.htm. Sergei Zhubrin

 July 31, 2000, 15:41 Re: volumetric conservation equation in PHOENICS c #5 mehdi Guest   Posts: n/a Thank you Sergei for your help, My problem is in the term : D(Ln(RHO))/Dt I don't know where and how it appears in the discretised equation of continuity AeUe-AwUw+AnVn-AsVs+AhWh-AlWl=Sp/RHOp.

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