Nitsche method for Navier-Stokes equations with slip boundary conditions: convergence analysis and VMS-LES stabilization

DOI10.1051/M2AN/2024070MaRDI QIDQ6652086

Nicolás Barnafi, Aparna Bansal, Dwijendra N. Pandey

Publication date: 12 December 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationslarge eddy simulationBanach fixed point theoremNitsche's methodNavier boundary conditionsa priori analysisvariational multiscale modelingBanach-Nečas-Babuška theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Error bounds for boundary value problems involving PDEs (65N15) Fixed-point theorems (47H10) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Direct numerical and large eddy simulation of turbulence (76F65) Numerical solutions to equations with nonlinear operators (65J15)

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