A parallel finite element discretization algorithm based on grad-div stabilization for the Navier-Stokes equations
DOI10.1007/S00021-024-00868-1zbMATH Open1546.76061MaRDI QIDQ6540640
Yueqiang Shang, B. Zheng, Jiali Zhu
Publication date: 17 May 2024
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
weak formulationdomain decompositiongrad-div stabilizationbackward-facing step flowglobal a priori error estimate
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05)
Cites Work
- Title not available (Why is that?)
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- On the parameter choice in grad-div stabilization for the Stokes equations
- Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method
- Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
- Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
- Local and parallel finite element algorithms for the Stokes problem
- Parallel iterative finite element algorithms based on full domain partition for the stationary Navier-Stokes equations
- On the accuracy of the rotation form in simulations of the Navier-Stokes equations
- Two classes of mixed finite element methods
- Numerical studies of the flow around a circular cylinder by a finite element method
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
- A low-order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: a stabilization issue and iterative methods.
- Numerical analysis of two grad-div stabilization methods for the time-dependent Stokes/Darcy model
- A two-level stabilized quadratic equal-order finite element variational multiscale method for incompressible flows
- Analysis of parallel finite element algorithm based on three linearization methods for the steady incompressible MHD flow
- Numerical analysis of CNLF modular grad-div stabilization method for time-dependent Navier-Stokes equations
- Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization
- A pressure-robust virtual element method for the Stokes problem
- On the grad-div stabilization for the steady Oseen and Navier-Stokes equations
- Numerical studies of finite element variational multiscale methods for turbulent flow simulations
- Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations
- Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements
- A parallel subgrid stabilized finite element method based on fully overlapping domain decomposition for the Navier-Stokes equations
- The 2D lid-driven cavity problem revisited
- A parallel grad-div stabilized finite element algorithm for the Stokes equations with damping
- Finite Element Methods for Incompressible Flow Problems
- A Two-Parameter Stabilized Finite Element Method for Incompressible Flows
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Grad-div stabilized discretizations on S-type meshes for the Oseen problem
- Grad-div stablilization for Stokes equations
- New development in freefem++
- Local and parallel finite element algorithms based on two-grid discretizations
- Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part I: Uniform Stability
- Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part II: Optimal Convergence
- Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions
- A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
- Pressure Robust Weak Galerkin Finite Element Methods for Stokes Problems
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- Large eddy simulation of turbulent incompressible flows by a three-level finite element method
- A quadratic equal‐order stabilized method for Stokes problem based on two local Gauss integrations
- Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems
- A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model
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