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Multigrid method for cylindrical coordinate system

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Old   October 30, 2003, 06:01
Default Multigrid method for cylindrical coordinate system
  #1
chinthakindi
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Hello Friends, I am developing poisson solver (3D) by using the multigrid method, the main doubt is i am using the cylindrical coordinate system, every where in the literature and in the books, all are explaining about the multigrid methods for cartessian and for cube shape domain,,mine is cylindrical shap domain, i am not getting how to apply restriction and prolongation for my domain,, i am kindly requesting you to help me

thankyou for ur sparing of time
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Old   October 31, 2003, 20:49
Default Re: Multigrid method for cylindrical coordinate sy
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Junseok Kim
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for the restriction and prolongation, you can use weighted ones which depends on finite difference or finite element, etc.

I am using cylindrical coordinates for my jet simulation, by the way, my own is axisymmetric version.

You can look at my website for the jet simulation with multigrid method.

http://www.math.uci.edu/~jskim/simulations.html
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Old   November 1, 2003, 06:37
Default Re: Multigrid method for cylindrical coordinate sy
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chinthakindi
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Hi J.Kim, thankyou for ur help,

I tryed with all restriction and prolongation techniques, it is working fine for cartessian grids but it is giving the problem with cylindrical grids, my doubt is around the axis of the round jet , my cells are becoming very close , due to this i am getting the problem,, since from one months i am struggling with this problem, if u dont mind, can u please send ur subroutines for restriction and prolongation only,, so that i will verify my code.

once again thankyou very much for ur attention for me..

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Old   November 1, 2003, 13:29
Default Re: Multigrid method for cylindrical coordinate sy
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Junseok Kim
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I have two types of restriction and prolongation routines which are written in C language.

One is cell centered finite difference version for the velocity field, and the other is cell cornered finite element version for the pressure.

Which one do you want?

junseok
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Old   November 1, 2003, 15:06
Default Re: Multigrid method for cylindrical coordinate sy
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chinthakindi
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Hi Thankyou very much for your reply, I need cell centered finite difference version,

thankyou for ur help..
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Old   November 1, 2003, 15:46
Default Re: Multigrid method for cylindrical coordinate sy
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chinthakindi
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Hi Thankyou for ur reply, I need cell centered FD version,
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