CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > Software User Forums > OpenFOAM > OpenFOAM Post-Processing

Divergence of third order tensor

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

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   April 28, 2006, 13:46
Default I'm trying to calculate a tens
  #1
Senior Member
 
Maka Mohu
Join Date: Mar 2009
Posts: 305
Rep Power: 16
maka is on a distinguished road
I'm trying to calculate a tensor (d/dx_k)(s_ik * u_j). s_ik is a second order strain rate tensor (symm(fvc::grad(Uprime))). I read the programmer manual, but I have a question:

can I use divergence operator on third order tensor (div(s*u)) and how it is defined (on which index the summation convention works? is it the first?).

There is another way to do it but less compact:

(d/dx_k)(s_ik * u_j) = ((d/dx_k) s_ik) * u_j + s_ik * ((d/dx_k) u_j);

in the programmers guide: div(s) = (d/dx_i) s_ij

This transform the relation to (s_ij is symmetric):

(d/dx_k)(s_ik * u_j) = div(s) * u + s * fvc::grad(u); Am I right? Thanks.

Best regards,
Maaka
maka is offline   Reply With Quote

Reply

Thread Tools Search this Thread
Search this Thread:

Advanced Search
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 Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
How to represent the divergence of a tensor times a velocity titio OpenFOAM Running, Solving & CFD 0 January 15, 2009 17:51
Divergence of Tensor (physical meaning) John Main CFD Forum 1 May 22, 2008 16:48
2nd order Tensor Divergence Mistake in Programmerbs Guide vvqf OpenFOAM 3 December 2, 2005 05:53
2nd order divergence Reg FLUENT 1 May 17, 2005 04:08
1st order temporal & 2nd order spatial Prateep Chatterjee FLUENT 0 January 19, 2003 01:31


All times are GMT -4. The time now is 05:51.