CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > Software User Forums > ANSYS > CFX

Laplace in spherical coordinates

Register Blogs Community New Posts Updated Threads Search

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   December 3, 2007, 14:12
Default Laplace in spherical coordinates
  #1
Harini
Guest
 
Posts: n/a
I need to solve a diffusion equation in Spherical coordinates. Can somebody help me with discretisation in each coordinates.

Harini
  Reply With Quote

Old   December 4, 2007, 10:30
Default Re: Laplace in spherical coordinates
  #2
CycLone
Guest
 
Posts: n/a
Why do you need to solve it in spherical coordinates?
  Reply With Quote

Old   December 6, 2007, 17:35
Default Re: Laplace in spherical coordinates
  #3
Dr_D
Guest
 
Posts: n/a
Express the (1/r^2) (r^2 f'(r))' term as follows:

(prime stands for a derivative with respect to r) :

(1/r^2) (r^2 f'(r))' =3\frac{d}{d r^3}(r^2 f'(r))

Note that this means you are taking a first derivative wrt r^3 and not a third derivative. This is what you need to discretize.

Also you can stagger the origin, i.e., take your spatial grid points at (N-.5) dr where N=0,1,2...etc

  Reply With Quote

Reply


Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
FVM in 1-D spherical coordinates lost.identity Main CFD Forum 0 January 17, 2011 10:06
Spherical coordinates in Fluent orland FLUENT 0 November 18, 2010 04:22
Advection in spherical coordinates? lost.identity Main CFD Forum 0 October 11, 2010 13:03
k-epsilon model in spherical coordinates lost.identity Main CFD Forum 0 March 15, 2010 08:34
transformation between Cartesian and spherical coordinates? Xiaofeng Yang Main CFD Forum 6 February 23, 2000 11:19


All times are GMT -4. The time now is 21:44.