Is there a corrected Gauss gradient scheme?
I have been looking at the accuracy of the Gauss linear gradient scheme for a simple case compared with the analytical solution, and it is exactly correct for a perfectly orthogonal mesh. But it is inaccurate if the grid is non-orthogonal.
Is there any corrected version of the Gauss linear gradient scheme where the non-orthogonality is corrected for explicitly?
I have also tried leastSquares but it seems to give strange gradients in the boundary cells. extendedLeastSquares seems to work the best but I am not entirely sure how it works.
I found that you can specify explicit correction like this (as described here):
However, leastSquares gives me much better results on non-orthogonal grids. I was getting strange incorrect gradients in the boundary cells using leastSquares but this was solved by commenting and uncommenting a few lines in OpenFOAM-1.6-ext/src/finiteVolume/finiteVolume/gradSchemes/leastSquaresGrad/leastSquaresVectors.C.
I commented the following lines (lines 140 to 151):
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