A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations
zbMATH Open document ID: 1423.76273
author: Peng Zhang
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2018-08-28T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6927961
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: face-oriented stabilization
zbMATH Keywords: ghost penalty
zbMATH Keywords: Nitsche's method
zbMATH Keywords: extended finite element method
zbMATH Keywords: fictitious domain method
MaRDI profile type: Publication
full work available at URL: j.cma.2014.02.014
OpenAlex ID: W2011636308
cites work: An extended residual-based variational multiscale method for two-phase flow including surface tension
cites work: A semi-Lagrangean time-integration approach for extended finite element methods
cites work: Nitsche's method for a transport problem in two-phase incompressible flows
cites work: The stable XFEM for two-phase flows
cites work: An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction
cites work: Fluid–structure interaction approaches on fixed grids based on two different domain decomposition ideas
cites work: 3D fluid-structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach
cites work: On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method
cites work: Imposing Dirichlet boundary conditions in the extended finite element method
cites work: Robust imposition of Dirichlet boundary conditions on embedded surfaces
cites work: An embedded Dirichlet formulation for 3D continua
cites work: A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes
cites work: Nitsche's method for interface problems in computa-tional mechanics
cites work: Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
cites work: Ghost penalty
cites work: Analysis of an extended pressure finite element space for two-phase incompressible flows
cites work: Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
cites work: A stabilized Nitsche fictitious domain method for the Stokes problem
cites work: A New Fictitious Domain Approach Inspired by the Extended Finite Element Method
cites work: Stabilized finite element methods for the generalized Oseen problem
cites work: The extended finite element method for two-phase and free-surface flows: a systematic study
cites work: Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem
cites work: Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces
cites work: A stabilized Nitsche overlapping mesh method for the Stokes problem
cites work: Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
cites work: Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
cites work: Edge stabilization for the generalized Stokes problem: a continuous interior penalty method
cites work: Continuous Interior Penalty Finite Element Method for Oseen's Equations
cites work: A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
cites work: An XFEM-based embedding mesh technique for incompressible viscous flows
cites work: Enhancement of fixed‐grid methods towards complex fluid–structure interaction applications
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
cites work: An efficient finite element method for embedded interface problems
cites work: A robust variant of NXFEM for the interface problem
cites work: A robust Nitsche's formulation for interface problems
cites work: Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
cites work: Weak imposition of Dirichlet boundary conditions in fluid mechanics
cites work: Interior penalty variational multiscale method for the incompressible Navier-Stokes equation: monitoring artificial dissipation
cites work: A Domain Decomposition Method Based on Weighted Interior Penalties for Advection‐Diffusion‐Reaction Problems
cites work: Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
cites work: Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation
cites work: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
cites work: Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods
cites work: An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods
cites work: A stabilized non-conforming finite element method for incompressible flow
cites work: Application of a fractional-step method to incompressible Navier-Stokes equations
cites work: Q4338821
cites work: An Extended Finite Element Method for Two-Phase Fluids
DOI: 10.1016/J.CMA.2014.02.014
description: scientific article; zbMATH DE number 6927961