Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers

DOI10.1016/j.cma.2005.08.016zbMath1121.76036OpenAlexW2043732059MaRDI QIDQ2382787

A. Marra, Luigi Quartapelle, Jean-Luc Guermond

Publication date: 4 October 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2005.08.016

zbMATH Keywords

airfoil NACA0012fractional-step pressure-correction projection methodhierarchical finite element setting

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Numerical analysis and computation of a type of IMEX method for the time-dependent natural convection problem, 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, An explicitly uncoupled VMS stabilization finite element method for the time-dependent Darcy-Brinkman equations in double-diffusive convection, A new two grid variational multiscale method for steady-state natural convection problem, A Second Order Local Projection Lagrange-Galerkin Method for Navier-Stokes Equations at High Reynolds Numbers, Error correction method for Navier-Stokes equations at high Reynolds numbers, A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes, A subgrid model for the time-dependent Navier-Stokes equations, Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations, Nonconforming local projection stabilization for generalized Oseen equations, Implicit-Explicit Time Discretization for Oseen’s Equation at High Reynolds Number with Application to Fractional Step Methods, A unified convergence analysis for local projection stabilisations applied to the Oseen problem, A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions, Fully iterative ILU preconditioning of the unsteady Navier-Stokes equations for GPGPU, A Two-Parameter Stabilized Finite Element Method for Incompressible Flows, A parallel subgrid stabilized algorithm for incompressible flows with nonlinear slip boundary conditions, New nonconforming finite element method for solving transient Navier-Stokes equations, A stabilized Galerkin scheme for the convection-diffusion-reaction equations, Parallel defect-correction algorithms based on finite element discretization for the Navier-Stokes equations, A variational multiscale stabilized finite element method for the solution of the Euler equations of nonhydrostatic stratified flows, A parallel subgrid stabilized finite element method based on two-grid discretization for simulation of 2D/3D steady incompressible flows, Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem, A second order in time local projection stabilized Lagrange-Galerkin method for Navier-Stokes equations at high Reynolds numbers, A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin, Assessment of subgrid-scale models for the incompressible Navier-Stokes equations, Iterative schemes for the non-homogeneous Navier-Stokes equations based on the finite element approximation, Viscosity explicit analysis for finite element methods of time-dependent Navier-Stokes equations, A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations, A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws, Numerical simulation of the von Kármán sodium dynamo experiment, Turbulence in realistic geometries with moving boundaries: when simulations meet experiments, A second-order finite element variational multiscale scheme for the fully discrete unsteady Navier-Stokes equations, A subgrid stabilizing postprocessed mixed finite element method for the time-dependent Navier-Stokes equations, A parallel finite element variational multiscale method for the Navier-Stokes equations with nonlinear slip boundary conditions, A splitting method for incompressible flows with variable density based on a pressure Poisson equation, Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization, A nonlinear subgrid method for advection-diffusion problems, A parallel finite element variational multiscale method based on fully overlapping domain decomposition for incompressible flows, Error analysis of a fully discrete finite element variational multiscale method for time-dependent incompressible Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element methods for linear hyperbolic problems
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
• The variational multiscale method -- a paradigm for computational mechanics
• Theory and practice of finite elements.
• Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Viscous-inviscid analysis of transonic and low Reynolds number airfoils
• Structure of the set of stationary solutions of the navier‐stokes equations
• On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws
• Calculation of impulsively started incompressible viscous flows
• On the error estimates for the rotational pressure-correction projection methods
• Stabilization of Galerkin approximations of transport equations by subgrid modeling
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• Numerical Solution of the Navier-Stokes Equations
• AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS