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

WENO accuracy study, a 2D test case?

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

LinkBack Thread Tools Display Modes
Old   June 28, 2013, 07:16
Default WENO accuracy study, a 2D test case?
New Member
Join Date: Jan 2011
Location: Netherlands
Posts: 10
Rep Power: 8
Faraz is on a distinguished road

Is there a standard 2D test case to perform accuracy study of WENO without using periodic boundary conditions?

I know that people do tests with periodic BC, but I would like to understand if the boundary effects could decrease convergence rate significantly.

Say, for example in a scalar convection case?
Is there a paper or a reference to check with that?

Faraz is offline   Reply With Quote

Old   October 16, 2017, 16:45
New Member
Aranya Dan
Join Date: Oct 2017
Posts: 7
Rep Power: 2
crazyshock is on a distinguished road
Try with 2D Reimann problems.

A large list can be found in the paper "Solution of 2d Reimann problems for Gas Dynamics without Reimann Problem Solvers" -A. Kurganov, E. Tadmor
crazyshock is offline   Reply With Quote

Old   October 17, 2017, 03:01
Join Date: Oct 2011
Posts: 63
Rep Power: 8
naffrancois is on a distinguished road

The advantage of periodic bc is that you can simulate a long time/distance advection case and then more easily show the less diffusive properties of high order schemes. Without periodic bc, you would need a much wider grid and computational time would be much higher.

If you do not want to work with such a bc, you can still perform accuracy test with advection equation to check the formal order of accuracy of your scheme. But you have to be very careful on the treatment of the limit as indeed it will spoil the observed order of accuracy for finer grids. What I am used to do is to prescribe the exact Riemann state (from the exact solution) at the face gauss nodes and let the Riemann solver do the job.

naffrancois is offline   Reply With Quote


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
Pressure instabilities with interDyMFoam for the floatingObject case nbadano OpenFOAM Running, Solving & CFD 14 March 8, 2011 09:19
Help Required With Simple Test Case steph79 OpenFOAM Pre-Processing 4 August 3, 2010 07:45
Exact unsteady Stokes test case neazen Main CFD Forum 5 April 13, 2009 14:15
Porous Media test case Alex FLUENT 0 April 9, 2006 08:23
c1 body test case Eric Lenormand Main CFD Forum 0 March 2, 2000 07:54

All times are GMT -4. The time now is 09:43.