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 streamline upwind Petrov-Galerkin-curl stabilization. A set of numerical tests, in accordance with the theoretical results, is included.
Beirao da Veiga, L., Dassi, F., Vacca, G. (2023). Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation. IMA JOURNAL OF NUMERICAL ANALYSIS [10.1093/imanum/drad021].
Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation
Beirao da Veiga, L;Dassi, F
;
2023
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 streamline upwind Petrov-Galerkin-curl stabilization. A set of numerical tests, in accordance with the theoretical results, is included.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.