CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > Main CFD Forum

Divergence theorem in cylinderical coordinates

Register Blogs Members List Search Today's Posts Mark Forums Read

Reply
 
LinkBack Thread Tools Display Modes
Old   October 7, 2004, 11:27
Default Divergence theorem in cylinderical coordinates
  #1
peter.zhao
Guest
 
Posts: n/a
It's common for finite volume method to calculate the derivatives in viscous flux according to divergence theorem, but I do not known the detail formula in axisymmetrical cylinderical coordinates. for example, how to caluclate the derivatives of temperature according to divergence theorem? Thank a lot in advance!
  Reply With Quote

Old   October 7, 2004, 17:16
Default Re: Divergence theorem in cylinderical coordinates
  #2
Jim_Park
Guest
 
Posts: n/a
Get a copy of "Transport Phenomena", by Bird, Stewart and Lightfoot. This shows all the vector operations in the three major coordinate systems - along with lots of other details.

A bit less expensive, Schwamm's outline series has a soft-cover summary on Vector Analysis.
  Reply With Quote

Old   October 10, 2004, 06:56
Default Re: Divergence theorem in cylinderical coordinates
  #3
peter.zhao
Guest
 
Posts: n/a
Thank Park, I know how to calculate the derivatives of a vector, such as velocity, using divergence theorem according to any Vector Analysis book, but I don not known how to calculate the derivatives of a scalar, such as temperature, using divergence theorem in axisymmetrical coordinates. Can you shed light on it?
  Reply With Quote

Old   October 11, 2004, 08:54
Default Re: Divergence theorem in cylinderical coordinates
  #4
Jim_Park
Guest
 
Posts: n/a
Peter,

Sorry, I did answer the wrong question!

You might take a look at

C. W. Hirt, A. A. Amsden, and J. L. Cook, "An arbitrary Langrangian-Eulerian Computing Method for All Flow Speeds," J. Comp. Phys, v. 14, pp. 227-253 (1974).

Also the reports for the KIVA series of codes developed at Los Alamos - if you can get them.

Finally, try the U. of Wisconsin web sites for research simulating combustion in a diesel engine that was spun off from the KIVA-series codes.

I don't have the details readily available. You might try contacting Hans Ruppel at Los Alamos, who at one time had a nice set of notes working out the details of the surface integral around a control volume.

Good luck!
  Reply With Quote

Reply

Thread Tools
Display Modes

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 On
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
Divergence problem for species transport model MY FLUENT 3 January 11, 2014 04:46
Quarter Burner mesh with periosic condition SamCanuck FLUENT 2 August 31, 2011 11:34
UDF divergence of a vector cris FLUENT 2 June 8, 2010 11:55
Coordinate's tranformation tommy FLUENT 0 February 13, 2004 02:19
Calculation in cylindrical coordinates Franz Wingelhofer CFX 0 December 28, 1999 07:46


All times are GMT -4. The time now is 23:46.