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

Question about tensor notation !

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

Reply
 
LinkBack Thread Tools Display Modes
Old   November 19, 2004, 04:26
Default Question about tensor notation !
  #1
Hyun
Guest
 
Posts: n/a
Hi, everyone.

I have one question about tensor notation.

du_i / (dx_j dx_k)

'd' means partial derivative

and i,j,k are index notation.

above tensor notation showed in epsilon equation of k-e turbulence mode. (Yang and Shih,1993)

I am very qurious about developing tensor notaton to cartesian form.

thanks in advance.
  Reply With Quote

Old   November 19, 2004, 06:29
Default Re: Question about tensor notation !
  #2
Saad
Guest
 
Posts: n/a
I think your epsilon eq. is not in the tensor notation. Rather it is in the indicial notation. In complete tensor notation you should have the symbolic form of the metrics multiplied to the different terms. The form of the metric is different in different spaces. Regarding the derivative you posted, I think it is already in the cartesian form. If you are assuming a 3D system then i,j,k independently take the values 1,2,3. 'x_1' means 'x', 'x_2' means 'y' and 'x_3' means 'z'. Further, 'u_1' means 'u', 'u_2' means 'v' and 'u_3' means 'w'. Since epsilon is a scalar therefore each term in the epsilon eq. must contain the indices i, j and k twice. When a index occurs twice in a term then you have to invoke the summation convention.
  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
Unanswered question niklas OpenFOAM 2 July 31, 2013 16:03
internal field question - PitzDaily Case atareen64 OpenFOAM Running, Solving & CFD 2 January 26, 2011 15:26
question about uds tanven FLUENT 1 October 27, 2009 09:55
CHANNEL FLOW: a question and a request Carlos Main CFD Forum 4 August 23, 2002 05:55
question K.L.Huang CD-adapco 1 March 29, 2000 03:57


All times are GMT -4. The time now is 00:22.