CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > Software User Forums > OpenFOAM > OpenFOAM Programming & Development

non-exact gradient values

Register Blogs Community New Posts Updated Threads Search

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   July 17, 2012, 10:39
Default non-exact gradient values
  #1
Member
 
Elisabet Mas de les Valls
Join Date: Mar 2009
Location: Barcelona, Spain
Posts: 64
Rep Power: 17
elisabet is on a distinguished road
Hi OpenFOAMers!
I've recently found a really strange behaviour on the calculation of the gradients on version 1.6-ext:

Starting from a uniform field, called P (partial pressure), which is uniform and equals 1, even at the boundaries, I want to evaluate the gradient of P, which is expected to be zero. However, it is not!!

Details on the case and code:

1.- the mesh is uniform, hence non-orthogonal corrections are not required. CheckMesh is o.k.
2.- boundary conditions of P are own made based on fixedValue type but, for this simple verification case, the value is set to 1 (and can be checked when looking at P values on the boundaries)
3.- two different strategies are used for the evaluation of the gradient:
3.a.
Code:
sndPdx=(fvc::snGrad(P) * mesh.magSf());
    dPdx= fvc::reconstruct(sndPdx);
which I guess is better for non-orthogonal meshes
3.b.
Code:
 dPdx= fvc::grad(P);
In the attached figure you can find P map, dPdx_sn (from option 3.a.) and dPdx (from option 3.b.). As the mesh is orthogonal, both options yield to the same results. But the gradient is NOT zero!!!!

What's wrong? Am I going crazy?

any help is appreciated....

elisabet
Attached Images
File Type: jpg dPdx_small.jpg (35.6 KB, 15 views)
elisabet is offline   Reply With Quote

Old   July 17, 2012, 11:26
Default
  #2
Senior Member
 
akidess's Avatar
 
Anton Kidess
Join Date: May 2009
Location: Germany
Posts: 1,377
Rep Power: 29
akidess will become famous soon enough
The gradient is (Phi_P - Phi_f)/mag(d). I'll assume d=1e-4m, and you get a small error in the computation of the difference of 1e-16 (that's about the precision you can get using double if I'm not mistaken). Dividing that by d leads to 1e-12, about the order of errors you are seeing.

Further reading: http://en.wikipedia.org/wiki/Machine_epsilon
__________________
*On twitter @akidTwit
*Spend as much time formulating your questions as you expect people to spend on their answer.

Last edited by akidess; July 17, 2012 at 11:28. Reason: Added machine epsilon link
akidess is offline   Reply With Quote

Old   July 18, 2012, 07:38
Default
  #3
Member
 
Elisabet Mas de les Valls
Join Date: Mar 2009
Location: Barcelona, Spain
Posts: 64
Rep Power: 17
elisabet is on a distinguished road
Thanks akidess!

Obviously that was the point! sometimes, when one doesn't get the right solution begins to be suspicious of everything... sorry!

now the bad new: I must have a mistake somewhere else in my code... let's see...

elisabet
elisabet is offline   Reply With Quote

Old   July 18, 2012, 07:45
Default
  #4
Senior Member
 
akidess's Avatar
 
Anton Kidess
Join Date: May 2009
Location: Germany
Posts: 1,377
Rep Power: 29
akidess will become famous soon enough
No worries and good hunting!
__________________
*On twitter @akidTwit
*Spend as much time formulating your questions as you expect people to spend on their answer.
akidess is offline   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
Temperature gradient in CFX Chander CFX 5 January 7, 2015 03:00
specified shear at wall - temperature gradient - UDF - access violation error senD Fluent UDF and Scheme Programming 9 September 18, 2014 07:29
vortex cause pressure gradient or pressure gradient induce vortex? fruitkiwi Main CFD Forum 4 June 12, 2012 01:12
Range of wall y+ values rks171 Main CFD Forum 1 January 4, 2012 16:54
Acceptable Gradient Values Raman Chadha FLUENT 0 January 12, 2005 18:00


All times are GMT -4. The time now is 23:20.