Doubt in the Venkatakrishnan limiter.
 

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.

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).

Hi

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

Thanks.