A finite element variational multiscale method for incompressible flows based on two local Gauss integrations
From MaRDI portal
Publication:834140
DOI10.1016/j.jcp.2009.05.006zbMath1168.76028OpenAlexW2090899749MaRDI QIDQ834140
Haibiao Zheng, Lina Song, Feng Shi, Yan-ren Hou
Publication date: 19 August 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.05.006
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (58)
An efficient two-step algorithm for the incompressible flow problem ⋮ A three-step Oseen correction method for the steady Navier-Stokes equations ⋮ A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes ⋮ On the convergence of variational multiscale methods based on Newton's iteration for the incompressible flows ⋮ A variational multiscale method for steady natural convection problem based on two-grid discretization ⋮ Iterative finite element variational multiscale method for the incompressible Navier-Stokes equations ⋮ A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration ⋮ Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations ⋮ A new two grid variational multiscale method for steady-state natural convection problem ⋮ A two-level variational multiscale meshless local Petrov-Galerkin (VMS-MLPG) method for convection-diffusion problems with large Peclet number ⋮ Stabilized finite element method for the approximation of linearized viscoelastic fluid flow models ⋮ Error correction method for Navier-Stokes equations at high Reynolds numbers ⋮ Parallel finite element variational multiscale algorithms for incompressible flow at high Reynolds numbers ⋮ Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem ⋮ Adaptive local postprocessing finite element method for the Navier-Stokes equations ⋮ A parallel two-level finite element variational multiscale method for the Navier-Stokes equations ⋮ A stabilized finite element method for the Stokes-Stokes coupling interface problem ⋮ A finite element variational multiscale method based on two-grid discretization for the steady incompressible Navier-Stokes equations ⋮ Unnamed Item ⋮ A two-level stabilized quadratic equal-order finite element variational multiscale method for incompressible flows ⋮ Local and parallel finite element algorithm based on the partition of unity for incompressible flows ⋮ A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations ⋮ A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions ⋮ A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs ⋮ A Two-Parameter Stabilized Finite Element Method for Incompressible Flows ⋮ Two‐grid variational multiscale algorithms for the stationary incompressible Navier‐Stokes equations with friction boundary conditions ⋮ TWO-LEVEL ITERATION PENALTY AND VARIATIONAL MULTISCALE METHOD FOR STEADY INCOMPRESSIBLE FLOWS ⋮ Parallel defect-correction methods for incompressible flows with friction boundary conditions ⋮ A finite element variational multiscale method based on two local Gauss integrations for stationary conduction-convection problems ⋮ Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow ⋮ Parallel defect-correction algorithms based on finite element discretization for the Navier-Stokes equations ⋮ A parallel stabilized finite element variational multiscale method based on fully overlapping domain decomposition for the incompressible Navier-Stokes equations ⋮ Two-level variational multiscale finite element methods for Navier-Stokes type variational inequality problem ⋮ Error estimates of two-level finite element method for Smagorinsky model ⋮ A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem ⋮ Variational multiscale method based on the Crank–Nicolson extrapolation scheme for the non-stationary Navier–Stokes equations ⋮ Two-grid Arrow-Hurwicz methods for the steady incompressible Navier-Stokes equations ⋮ Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions ⋮ An adaptive virtual element method for incompressible flow ⋮ Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem ⋮ A finite element variational multiscale method for steady‐state natural convection problem based on two local gauss integrations ⋮ A multilevel finite element variational multiscale method for incompressible Navier-Stokes equations based on two local Gauss integrations ⋮ An efficient algorithm with stabilized finite element method for the Stokes eigenvalue problem ⋮ Local and parallel stabilized finite element algorithms based on the lowest equal-order elements for the steady Navier-Stokes equations ⋮ Two-level finite element variational multiscale method based on bubble functions for the steady incompressible MHD flow ⋮ Viscosity explicit analysis for finite element methods of time-dependent Navier-Stokes equations ⋮ A second-order finite element variational multiscale scheme for the fully discrete unsteady Navier-Stokes equations ⋮ A parallel finite element variational multiscale method for the Navier-Stokes equations with nonlinear slip boundary conditions ⋮ A SUBGRID STABILIZED METHOD FOR NAVIER-STOKES EQUATIONS WITH NONLINEAR SLIP BOUNDARY CONDITIONS ⋮ An energetically consistent concurrent multiscale method for heterogeneous heat transfer and phase transition applications ⋮ A two-level fully discrete finite element variational multiscale method for the unsteady Navier-Stokes equations ⋮ Spectral measures and Cuntz algebras ⋮ A parallel finite element variational multiscale method based on fully overlapping domain decomposition for incompressible flows ⋮ A three-step defect-correction algorithm for incompressible flows with friction boundary conditions ⋮ A two-level variational multiscale method for incompressible flows based on two local Gauss integrations ⋮ Error analysis of a fully discrete finite element variational multiscale method for time-dependent incompressible Navier-Stokes equations ⋮ A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations ⋮ A two-step stabilized finite element algorithm for the Smagorinsky model
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A three-level finite element method for the instationary incompressible Navier-Stokes equations
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
- Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles
- Large eddy simulation of turbulent incompressible flows. Analytical and numerical results for a class of LES models.
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- A connection between subgrid scale eddy viscosity and mixed methods
- Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
- A multiscale finite element method for the incompressible Navier-Stokes equations
- A two-level variational multiscale method for convection-dominated convection-diffusion equations
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- On a two‐level finite element method for the incompressible Navier–Stokes equations
- A multilevel-based dynamic approach for subgrid-scale modeling in large-eddy simulation
- The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence
- Monitoring unresolved scales in multiscale turbulence modeling
- Finite Element Methods for Navier-Stokes Equations
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- A Finite Element Variational Multiscale Method for the Navier--Stokes Equations
- Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
- A two-grid stabilization method for solving the steady-state Navier-Stokes equations
- Subgrid Stabilized Defect Correction Methods for the Navier–Stokes Equations
- Incompressible Computational Fluid Dynamics
- Large eddy simulation and the variational multiscale method
This page was built for publication: A finite element variational multiscale method for incompressible flows based on two local Gauss integrations