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Old   September 9, 1999, 21:19
Default 3Dspherical
  #1
rameez
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Please tell me your idea and considerations in doing calculation on 3D Spherical coordinate by finite difference method
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Old   September 10, 1999, 09:49
Default Re: 3Dspherical
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Hongjun Li
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Everything is similar EXCEPT at the origin r=0, the difference method at r=0 is different and needs special treatment. This is the first thing I thought. Try to solve a simple heat conduction equation you may find the problem.

HL
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Old   September 12, 1999, 19:08
Default Re: 3Dspherical
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Rameez,MYM
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When I make it into conservative form, In momentem equations, the velocity component are left behind. Can I treat them as production term?

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Old   September 13, 1999, 05:12
Default Re: 3Dspherical
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weiming sha
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Please check the paper "An accurate second-order approximation factorization method for time-dependent incompressible Navier-Stokes equations in spherical polar coordinates, W.sha, K.Nakabayashi and H.Ueda, J. Comput. phys.142, 47-66, 1998". Hope it would help you.
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Old   September 13, 1999, 09:06
Default Re: 3Dspherical
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Hongjun Li
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The N-S equations in the cylinderial and spherical systems can not be written into fully conservation form. I think you can treat the extra terms as production terms (source term).
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