A finite-element coarse-grid projection method for incompressible flow simulations
DOI10.1007/s10444-017-9573-5zbMath1398.35149arXiv1610.06993OpenAlexW2768482338MaRDI QIDQ1670405
Publication date: 5 September 2018
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.06993
finite elementsunstructured gridssemi-implicit time integrationcoarse-grid projectionpressure-correction schemes
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Complexity and performance of numerical algorithms (65Y20)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solutions of 2-D steady incompressible flow over a backward-facing step. I: High Reynolds number solutions
- A robust prolongation operator for non-nested finite element methods
- Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method
- Numerical simulation of laminar flow past a circular cylinder
- An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
- Application of a fractional-step method to incompressible Navier-Stokes equations
- On the multi-level splitting of finite element spaces
- Fast and high accuracy multigrid solution of the three dimensional Poisson equation
- Comparison of second- and fourth-order discretizations for multigrid Poisson solvers
- A compact multigrid solver for convection-diffusion equations
- Large scale object-oriented finite element code design
- Preconditioned multigrid methods for unsteady incompressible flows
- Algebraic multigrid for higher-order finite elements
- Efficient implementation of the exact numerical far field boundary condition for Poisson equation on an infinite domain
- Fourier analysis of a robust multigrid method for convection-diffusion equations
- An algorithm for coarsening unstructured meshes
- A three-step finite element method for unsteady incompressible flows
- An overview of projection methods for incompressible flows
- A finite element penalty-projection method for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- The finite element method with Lagrangian multipliers
- Fundamentals of Engineering Numerical Analysis
- A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
- Optimal multilevel methods for H(grad), H(curl), and H(div) systems on graded and unstructured grids
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations
- Total variation diminishing Runge-Kutta schemes
- Iterative Krylov Methods for Large Linear Systems
- Multigrid techniques for finite elements on locally refined meshes
- A computational methodology for two‐dimensional fluid flows
- An algebraic multigrid method for finite element discretizations with edge elements
- Numerical Solution of the Navier-Stokes Equations
- AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
- Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions
- High-performance parallel implicit CFD