CFD Online Logo CFD Online URL
Home > Forums > General Forums > Main CFD Forum

grid dependent or independent

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

LinkBack Thread Tools Search this Thread Display Modes
Old   September 12, 1999, 12:56
Default grid dependent or independent
Allan Zhao
Posts: n/a
This may not be a question to some cfd specialists. I used Fluent code to a numerical study of the exit region of submerged laminar jets. A newtonian fluid jet is issued from a long tube into a large expanse of the same fluid. I tried many different structureed grids with different grid spacings, and I got different simulation solutions. It looks that the solution is grid dependent. In particular, when I used very dense grid, the simulation result became worse. why? I am wondering if all numerical simulations are grid dependent. If not, which case is dependent and which case is not.

Thanks for your comments.

  Reply With Quote

Old   September 12, 1999, 21:40
Default Re: grid dependent or independent
John C. Chien
Posts: n/a
(1). To answer your first question about why the simulation result become worse when very dense mesh is used, I need to know the mesh size and arrangement used first. (2).About the second question whether all numerical simulations are grid dependent or not, I can only say that in most cases, the solutions based on coarse meshes are all mesh dependent. For your problem, there are several approaches you can take, namely,a). try other codes to solve the same problem to see whether you have the same problem, b). for the jet flow problem, you can solve the boundary layer equation to give you the answer. The boundary layer equation is much simpler to solve than the Navier-Stokes equations. All you need to do is to march the solution in the downstream direction, using either explicit of implicit solver for parabolic equation. c). And the last approach is to write your Navier-Stokes solver. (3). As to which case is mesh dependent which case is not, I would suggest that you try other sample cases first to see whether the code can produce any useful solution at all first. Then refine the mesh for that case to obtain the mesh independent solution. I sure would like to learn from you about how you are doing with the code. (I didn't use the code to solve the jet flow problem, so I can't give you any first hand information in this case.) Hope this will help.
  Reply With Quote

Old   September 15, 1999, 14:56
Default Re: grid dependent or independent
Duane Baker
Posts: n/a
Hello Allan,

The simple truth to numerical methods is:


but the approximation or numerical error can be controled and this is where the fun (money if you are the greedy type) lies!

The numerical error is a function of factors like:

1. The discretization methods used ie UDS vs CDS, QUICK, limiter method, etc. and the resulting properties.

2. The grid ie. number and distribution of nodes.

3. The physical problem characteristics ie. equations being solved, domain and boundary conditions and the solution smoothness. Typically a scheme will have discretization error which is proportional to a gradient or a gradient of a gradient in the solution.

So, when you say that the CFD solution appears to be grid dependant well the error being introduced is ALWAYS grid dependant and happens to be SIGNIFICANT with the grids that you are using.

In the academic world you have to satisfy the criteria of the given Jounal see the ASME Journal of Fluids Engineering policy (I think that it was strongly influenced by P. Roache...correct me if I am wrong here experts!). In the real world you simply have to demonstrate that you have evaluated the numerical error and are confident that it is acceptable for the given purpose ie. planning the outlet position in your hot-tub: well +/- 50% will probably work but the heat shield for a re-entry vehicle must be less than 1% error!!!

For more info see the text by Ferziger and Peric', it has an excellent discussion of error and practial applications of CFD.

Also of note is that when you are changing your grid you are changing the y-plus values for wall bounded turbulent flows.

Lots of stuff to think about and read!

  Reply With Quote


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 do a grid independent study xyq102296 ANSYS 16 November 11, 2021 08:05
Grid Independent Study for a car John222 Main CFD Forum 1 January 26, 2011 19:05
Combustion Convergence problems Art Stretton Phoenics 5 April 2, 2002 05:59
Grid Independent Solution Hesham M. Aly FLUENT 2 October 5, 2000 08:24
Grid Independent Solution Chuck Leakeas Main CFD Forum 4 July 15, 2000 03:27

All times are GMT -4. The time now is 09:16.