Shallow water depth-velocity coupling

forsumit · May 24, 2010, 10:48

Hi All,

I am trying to write shallow water equation model using finite volume method. The problem, I am having is how to connect and couple velocity and depth. In some papers I have seen that using the depth average continuity equation, they are able to attain elevation-correction Poisson equation. I am interested in the derivation of the same, Can any one point me to the relevant sources.

Thanks a lot,
Sumit

hadian · May 25, 2010, 06:12

maybe this can help:
M.R.Hadian and A.R.Zarrati (2008), “Application of Multi-Block Method for Simulating Shallow Flows in Complex Geometries“, Journal of Hydraulic Research, IAHR, Vol.46, No.5, pp. 668-678.

forsumit · May 25, 2010, 12:23

Thanks a lot, I am going to check it out.

May 24, 2010, 10:48	Shallow water depth-velocity coupling	#1
forsumit New Member Sumit Sinha Join Date: Mar 2009 Location: Champaign, ILLINOIS, U.S.A Posts: 25 Rep Power: 16	Hi All, I am trying to write shallow water equation model using finite volume method. The problem, I am having is how to connect and couple velocity and depth. In some papers I have seen that using the depth average continuity equation, they are able to attain elevation-correction Poisson equation. I am interested in the derivation of the same, Can any one point me to the relevant sources. Thanks a lot, Sumit

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May 25, 2010, 06:12		#2
hadian Member Mohammad Reza Hadian Join Date: Mar 2009 Location: Yazd, Iran Posts: 52 Rep Power: 17	maybe this can help: M.R.Hadian and A.R.Zarrati (2008), “Application of Multi-Block Method for Simulating Shallow Flows in Complex Geometries“, Journal of Hydraulic Research, IAHR, Vol.46, No.5, pp. 668-678.

May 25, 2010, 12:23		#3
forsumit New Member Sumit Sinha Join Date: Mar 2009 Location: Champaign, ILLINOIS, U.S.A Posts: 25 Rep Power: 16	Thanks a lot, I am going to check it out.