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Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation

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abstract

In the present contribution we propose a novel conforming Finite Element scheme for the time-dependent Navier-Stokes equation, which is proven to be both convection quasi-robust and pressure robust. The method is built combining a "divergence-free" velocity/pressure couple (such as the Scott-Vogelius element), a Discontinuous Galerkin in time approximation, and a suitable SUPG-curl stabilization. A set of numerical tests, in accordance with the theoretical results, is included.

fields

cs.CL 1

years

2025 1

verdicts

REJECT 1

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