3Dspherical

September 9, 1999, 21:19

Please tell me your idea and considerations in doing calculation on 3D Spherical coordinate by finite difference method

September 10, 1999, 09:49

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

September 12, 1999, 19:08

When I make it into conservative form, In momentem equations, the velocity component are left behind. Can I treat them as production term?

September 13, 1999, 05:12

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.

September 13, 1999, 09:06

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).

September 9, 1999, 21:19	3Dspherical	#1
rameez Guest Posts: n/a	Please tell me your idea and considerations in doing calculation on 3D Spherical coordinate by finite difference method

September 10, 1999, 09:49	Re: 3Dspherical	#2
Hongjun Li Guest Posts: n/a	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

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

September 13, 1999, 05:12	Re: 3Dspherical	#4
weiming sha Guest Posts: n/a	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.

September 13, 1999, 09:06	Re: 3Dspherical	#5
Hongjun Li Guest Posts: n/a	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).