Weak imposition of the slip boundary condition on curved boundaries for Stokes flow

DOI10.1016/j.jcp.2013.08.045zbMath1349.76277OpenAlexW1985502979MaRDI QIDQ348396

André Garon, José M. Urquiza, Marie-Isabelle Farinas

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.08.045

zbMATH Keywords

finite element methodslip boundary conditionsLagrange multiplier methodNitsche's methodBabuska's paradoxStokes and Navier-Stokes equations

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Curvature-induced instability of a Stokes-like problem with non-standard boundary conditions, A Unified Variational Framework on Macroscopic Computations for Two-Phase Flow with Moving Contact Lines, Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes, Finite element approximations of the Lamé system with penalized ideal contact boundary conditions, A parameter-free variational coupling approach for trimmed isogeometric thin shells, On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method, A modified finite element formulation for the imposition of the slip boundary condition over embedded volumeless geometries, An embedded finite element framework for the resolution of strongly coupled fluid-structure interaction problems. Application to volumetric and membrane-like structures, The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements, A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions, Nitsche’s method for Navier–Stokes equations with slip boundary conditions

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