water hammer solution by finite volume method

A.Maleki · January 20, 2010, 15:10

hi, I studied about water hammer modeling by finite volume method, so i wrote a FORTRAN 90 code to this model, where the model include : fifth- order Rung-Kutta time discretization , and Roe(scheme) for convective fluxes terms, now i have problem to compelete my model, so I hope to earn my questions reply here,
my problems:
1- how i apply dual time stepping in this model?
2- convergence of model?
I am glad to solve my problems.
Th.U

shyamdsundar · January 20, 2010, 21:46

For sual time stepping, please refer the discussion :
http://www.cfd-online.com/Forums/mai...-stepping.html

For convergence of the model, I am not sure if you refer to grid convergence of the scheme. If that is the case, you can simulate the same problem in successively refined grids, and compare the order of convergence as

Order = log(e1/e2) / log(h1/h2)

where e is the error, and h is the equivalent 1D grid spacing.

You can refer the website below for grid convergence:
http://www.grc.nasa.gov/WWW/wind/val.../spatconv.html

January 20, 2010, 15:10	water hammer solution by finite volume method	#1
A.Maleki New Member Amin Join Date: Jan 2010 Posts: 1 Rep Power: 0	hi, I studied about water hammer modeling by finite volume method, so i wrote a FORTRAN 90 code to this model, where the model include : fifth- order Rung-Kutta time discretization , and Roe(scheme) for convective fluxes terms, now i have problem to compelete my model, so I hope to earn my questions reply here, my problems: 1- how i apply dual time stepping in this model? 2- convergence of model? I am glad to solve my problems. Th.U

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January 20, 2010, 21:46		#2
shyamdsundar New Member Shyam Join Date: Apr 2009 Posts: 29 Rep Power: 17	For sual time stepping, please refer the discussion : http://www.cfd-online.com/Forums/mai...-stepping.html For convergence of the model, I am not sure if you refer to grid convergence of the scheme. If that is the case, you can simulate the same problem in successively refined grids, and compare the order of convergence as Order = log(e1/e2) / log(h1/h2) where e is the error, and h is the equivalent 1D grid spacing. You can refer the website below for grid convergence: http://www.grc.nasa.gov/WWW/wind/val.../spatconv.html