Introduction🔗
The test case comprises a 2-D section comprising extruded triangle cells. An initial field is assigned the mesh cell centre values such that the computed gradient should take the value of 1 in each co-ordinate direction. By changing the choice of gradient scheme we can observe how each performs.
Case set-up🔗
Gradient schemes under test:
- Gauss linear
- Gauss pointLinear
- leastSquares
Interpolation schemes under test:
- Unlimited
- cellLimited
- cellMDLimited
- faceLimited
- faceMDLimited
Boundary conditions🔗
Only the left and right domain boundaries are set to physical patch types; the remainder are set to the empty constraint to enforce the 2-D system.
Mesh🔗
The mesh comprises extruded triangle cells with low non-orthogonality with average and maximum values of 7 and 26 deg, respectively.
Scheme controls🔗
grad(Cc) <scheme>
Results🔗
The following images show the percentage error of the magnitude of the gradient of the cell centres, defined as: \(\textrm{error} = 100 \frac{\left|\grad(C_c)\right| - 2^{0.5}}{2^{0.5}}\) The range is set to +/- 10% for all images.
Unlimited🔗
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Cell limited🔗
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Face limited🔗
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Multi-directional cell limited🔗
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Multi-directional face limited🔗
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