Doubt in the Venkatakrishnan limiter.

EMolina · January 21, 2016, 16:20

Hi guys,

I was looking in the Venkatakrishnan limiter formulation (solver_direct_mean.cpp line~5279). It reads:

limiter = ( dp*dp + 2.0*dp*dm + eps2 )/( dp*dp + dp*dm + 2.0*dm*dm + eps2);

But in the original paper "Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters" Journal of Computational Physics
Volume 118, Issue 1, April 1995, Pages 120–130 and also in "Simple and Parameter-Free Second Slope Limiter for Unstructured Grid Aerodynamic Simulations" AIAA Journal, Vol. 50, No. 6 (2012), pp. 1415-1426.

The limiter expression is in the following manner:
limiter = ( dm*dm + 2.0*dp*dm + eps2 )/( dp*dp + dp*dm + 2.0*dm*dm + eps2);

It uses pow of the interface left gradient not the right in the numerator.

Can someone clarify that?

Thanks.

talbring · January 22, 2016, 05:44

Hi EMolina,

in "Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters" on Page 8, Equation 33 is exactly what is implemented right now (i.e. dp*dp in the numerator).

EMolina · January 23, 2016, 11:19

Hi

The original paper is correct, the other one has this mistake.

Thanks.

January 21, 2016, 16:20	Doubt in the Venkatakrishnan limiter.	#1
EMolina Member Eduardo Molina Join Date: Sep 2010 Location: Brazil Posts: 35 Rep Power: 16	Hi guys, I was looking in the Venkatakrishnan limiter formulation (solver_direct_mean.cpp line~5279). It reads: limiter = ( dpdp + 2.0dpdm + eps2 )/( dpdp + dpdm + 2.0dmdm + eps2); But in the original paper "Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters" Journal of Computational Physics Volume 118, Issue 1, April 1995, Pages 120–130 and also in "Simple and Parameter-Free Second Slope Limiter for Unstructured Grid Aerodynamic Simulations" AIAA Journal, Vol. 50, No. 6 (2012), pp. 1415-1426. The limiter expression is in the following manner: limiter = ( dmdm + 2.0dpdm + eps2 )/( dpdp + dpdm + 2.0dmdm + eps2); It uses pow of the interface left gradient not the right in the numerator. Can someone clarify that? Thanks.

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Production limiter only used for k - kOmegaSST - OpenFOAM 2.2.x	Bokse	OpenFOAM Programming & Development	8	September 21, 2015 09:55
Venkatakrishnan limiter	kei-tee	Main CFD Forum	1	November 6, 2012 02:02
Gamma differencing vs Venkatakrishnan limiter	ganesh	Main CFD Forum	0	December 3, 2010 13:52
Definition of limiter function for central dirrerencing scheme	sebastian_vogl	OpenFOAM Running, Solving & CFD	0	January 5, 2009 12:08
Venkatakrishnan limiter	emca	Main CFD Forum	0	November 9, 2007 16:34

January 22, 2016, 05:44		#2
talbring Super Moderator Tim Albring Join Date: Sep 2015 Posts: 195 Rep Power: 11	Hi EMolina, in "Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters" on Page 8, Equation 33 is exactly what is implemented right now (i.e. dp*dp in the numerator).

January 23, 2016, 11:19		#3
EMolina Member Eduardo Molina Join Date: Sep 2010 Location: Brazil Posts: 35 Rep Power: 16	Hi The original paper is correct, the other one has this mistake. Thanks.