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Test a functionality for Nonlinear FV schemes #1125

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OmarDuran opened this issue Feb 1, 2024 · 0 comments
Open

Test a functionality for Nonlinear FV schemes #1125

OmarDuran opened this issue Feb 1, 2024 · 0 comments
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@OmarDuran
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The non-linear tpfa and mpfa discretizations should be equivalent for K-orthogonal grids. A test for this case is required.

This is the suggested sketch for the test:

  • Project a strong solution of a nonlinear boundary value scalar problem with Dirichlet boundary conditions to obtain the projected approximation p_h
  • Employ p_h to evaluate the pair (Jac(p_h), Res(p_h))_xpfa where x = {t,m}
  • Make the assertion (Jac(p_h), Res(p_h))_tpfa is numerically close to (Jac(p_h), Res(p_h))_mpfa

Failure of this test indicates an inconsistency in the non-linear implementation of mpfa.

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