[davibarreira]

I've been reading about the numerical schemes in OpenFOAM, and I found (perhaps) some divergence concerning the TVD schemes and Sweby limiters.

In Dr. Jasak's thesis (pg 98), it says that:


So for ψ = 1 we get a Higher Order scheme (central difference), while ψ = 0 we get Upwind.

The thing is, at OpenFOAM's website (http://cfd.direct/openfoam/user-guid...20-1140004.4.5), it is said that "Some TVD/NVD schemes require a coefficient ψ,0 ≤ ψ ≤ 1 where ψ = 1 corresponds to TVD conformance, usually giving best convergence and ψ = 0 corresponds to best accuracy". But doesn't that mean that for ψ = 0 we get the higher order (more accurate) and ψ = 1 we get less accurate (Upwind)? And isn't it the opposite of what is written in Dr. Jasak's thesis?

I expected that limitedLinear 0.5 would be the same as linearUpwind grad(U), but when I run the same case for these two schemes, the results are different.

Also, as stated in this thread (http://www.cfd-online.com/Forums/ope...tedlinear.html), I thought that limitedLinear 0 would be equal to upwind and limitedLinear 1 would be equal to linear, but it is not the case.

Did I understand thing in a wrong way, or is there an inconsistency? Also, should these schemes be indeed the same or not?

Thanks in advance.

Btw, sorry if this is posted in the wrong section of the forum. I saw that another similar thread was posted in this section, so I did the same.