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centerline in cyl. coord.

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Old   December 29, 2004, 12:32
Default centerline in cyl. coord.
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Hello everyone, I'm trying to develop a fully 3D code in cylindrical coordinates; finite difference; Do you have any suggestion about how dealing with the point on the centerline? I would prefer to avoid the de l'Hopital rule for the singularity, and I believe that maybe one can consider the centerline point in cartesian coordinate...but whatever is the strategy question is: how do I choose the planes to which the centerline belong? ( I mean, PHISICALLY, the centeline belongs to all the meridian planes ) Many thanks

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Old   December 29, 2004, 14:55
Default Re: centerline in cyl. coord.
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This may not be very helpful, since you already specified that you would like to use a finite difference method -- but if you have the choice, I would suggest you consider a finite volume approach. I find it easier to implement for arbitrary geometries, including yours.
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Old   December 30, 2004, 01:10
Default Re: centerline in cyl. coord.
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Have a look at this paper. You will find the method for dealing with singularity.

Also do a google search for

"cylindrical coordinates" + "lele" + "finite difference"


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