Testing Taylor-Hood 10-noded tetrahedra

Description

I am testing Taylor-Hood 10-noded tetrahedra for fluids problems.

Running some simple tests does not produce good results.

Reproduction

I've converted the pipe_RCR_3d mesh into 10-noded tetrahedra.

Running a simulation using the NS solver converges

 NS 1-1  1.915e+00  [0 1.000e+00 1.000e+00 4.158e-04]  [4 -11 77]
 NS 1-2  3.734e+00  [-41 8.252e-03 8.252e-03 4.477e-04]  [4 -9 76]
 NS 1-3  5.581e+00  [-87 4.314e-05 4.314e-05 9.197e-04]  [4 -10 76]
 NS 1-4  7.418e+00  [-126 4.745e-07 4.745e-07 6.957e-04]  [4 -10 76]
 NS 1-5  9.310e+00  [-168 3.874e-09 3.874e-09 7.596e-04]  [4 -10 74]
 NS 2-1  1.007e+01  [0 1.000e+00 2.414e+02 3.866e-04]  [0 -79 43]
 NS 2-2  1.232e+01  [-67 4.079e-04 9.847e-02 6.880e-04]  [5 -12 81]
 NS 2-3  1.363e+01  [-89 3.429e-05 8.277e-03 9.008e-04]  [2 -9 67]
 NS 2-4  1.571e+01  [-142 7.758e-08 1.873e-05 6.966e-04]  [5 -10 79]
 NS 2-5s 1.707e+01  [-162 7.394e-09 1.785e-06 8.178e-04]  [2 -12 64]

Velocity results seem to match svMultiPhysics/tests/cases/fluid/pipe_RCR_3d but pressure does not

pipe_RCR_3d - tet4

pipe_RCR_3d - tet10 - taylor-hood

Pressure results match from a simulation using tet10 without taylor-hood.

Expected behavior

I would expect taylor-hood results to match tet4 and tet10 simulations.

Additional context

No response

Code of Conduct

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Start with the svMultiPhysics/tests/cases/fluid/pipe_RCR_3d case and compare the tet4, tet10, and Taylor-Hood tet10 simulations using the NS solver. Check why velocity agrees while pressure differs; the issue is done when Taylor-Hood pressure results match the tet4 and non-Taylor-Hood tet10 cases.