Talk:Flux limiter

Physics: Fluid Dynamics C‑class Mid‑importance

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I have added additional flux limiter definitions along with references for each type, which I hope will make the article clearer. Griffgruff 15:25, 11 October 2006 (UTC)[reply]

The conditions for a scheme to be second order accurate TVD are less tringent than mentioned in this article:"This means that they are designed such that they pass through a certain region of the solution, known as the TVD region, in order to guarantee stability of the scheme." Most authors limit their attention to this region, as does LeVeque. However, the condition for second order accuracy (away from local maxima) is that the limiter goes smoothly through (1,1). The condition for being TVD is that 0<phi<2 for r>0 (and phi=0 for r<0). Any flux limiter that satisfies these conditions gives a second order accurate TVD scheme. The TVD region is chosen for additional reasons, such as the amount of compression. This may be a concern in a specific application, or it may be irrelevant. --Roger Jeurissen (talk) 22:19, 28 January 2010 (UTC)[reply]

Are flux limiter only usefull for incompressible flow ? It is possible to use the same method for both compressible and incompressible flow ? Thanks to add more precisions on this. 199.212.17.130 (talk) 12:25, 16 March 2010 (UTC)[reply]

Is there a typo in the Koren limiter? I get the Koren limiter as -> max[0,min(2r,(2+r)/3,2)] (209.89.17.156 (talk) 16:04, 1 April 2010 (UTC))[reply]

The Koren limiter is specified correctly. Griffgruff (talk) 23:22, 24 April 2010 (UTC)[reply]

I may be wrong, but I believe the CHARM, HCUS, HQUICK and smart limiters do not constitute TVD schemes (unless the scheme is somehow constructed in a different manner to the classic method as given on this page). As is clearly stated by the limit of each scheme, phi will exceed 2 for certain values of r, and unless these methods are meant for some specific use (i.e predesignated value of the courant number), this means they cannot be guaranteed to have the total variation non-increasing property, even if they still work as advection approximations (this should also be stated on the page). However, I may be wrong in my assumptions here, and I have also been unable to access the references for these schemes, so please correct me if I am wrong! Also, the mu(r) graph for the Koren limiter does not match the definition given on the page, which again I cannot find the original reference for, but is different to that given by H. Hassanzadeh et al, Computers and Chemical Engineering, (2008). 82.32.185.59 (talk) 14:42, 10 April 2011 (UTC)[reply]