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

How to calculate these tensor term ?

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

Reply
 
LinkBack Thread Tools Display Modes
Old   October 28, 2004, 01:51
Default How to calculate these tensor term ?
  #1
Nokadu
Guest
 
Posts: n/a
There is 2 tensor that i don,t know how to calculate! 1: S_ij*S_ij = ?

2: S_ij*S_jk*S_ki= ?

there : i=1,2,3,j=1,2,3 Who can give me an exact formula about these calculations (in terms S_11,S_12,....)??

thaks!
  Reply With Quote

Old   October 28, 2004, 03:27
Default Re: How to calculate these tensor term ?
  #2
Praveen
Guest
 
Posts: n/a
Repeated indices imply summation. So

S<sub>ij</sub> S<sub>ij</sub> = &Sigma;<sub>i</sub> &Sigma;<sub>j</sub> S<sub>ij</sub> S<sub>ij</sub>

which is a scalar.
  Reply With Quote

Old   October 29, 2004, 06:59
Default Re: How to calculate these tensor term ?
  #3
John Luo
Guest
 
Posts: n/a
If you have S11=2.*DU/DX, S22=2.*DVDY, S33=2.*DW/DZ, S12=DUDY+DVDX, S23=DV/DZ+DW/DY, S31=DW/DX+DU/DZ,

THEN SIJ*SIJ=S11**2+S22**2+S33**2+2.*(S12**2+S23**2+S31 **2)

SIJ*SJK*SKI=S11**3+S22**3+S33**3+6.*S12*S23*S31+ 3.*[S12**2*(S11+S22)+S23**2*(S22+S33)+S31**2*(S33+S11)]

  Reply With Quote

Old   October 29, 2004, 14:48
Default Re: How to calculate these tensor term ?
  #4
Nokadu
Guest
 
Posts: n/a
Thank you 2 very much!

In chinese : ллǣdzл
  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
how to calculate flow properties along the first grid point near to the wall kiran OpenFOAM Post-Processing 2 September 12, 2010 12:59
calculate values for eps and k from Re or u????? sbar OpenFOAM Pre-Processing 5 August 16, 2010 04:10
How to calculate Torque for francis turbine manish CFX 4 March 15, 2007 03:57
How to calculate energy dissipation chinthakindi Main CFD Forum 0 February 23, 2004 07:36
can use coupled solver to calculate combustion cfdfans FLUENT 0 November 25, 2003 05:48


All times are GMT -4. The time now is 08:10.