Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations
From MaRDI portal
Publication:1025151
DOI10.1016/j.jcp.2009.02.035zbMath1185.76812OpenAlexW2160063850MaRDI QIDQ1025151
David L. Darmofal, Laslo T. Diosady
Publication date: 18 June 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.02.035
Gas dynamics (general theory) (76N15) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (28)
Evaluation of a high-order discontinuous Galerkin method for the DNS of turbulent flows ⋮ Algebraic tailoring of discontinuous Galerkin \(p\)-multigrid for convection ⋮ Fast time implicit-explicit discontinuous Galerkin method for the compressible Navier-Stokes equations ⋮ An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of elliptic interface problems and conjugate heat transfer problems ⋮ An implicit matrix-free discontinuous Galerkin solver for viscous and turbulent aerodynamic simulations ⋮ Efficient discontinuous Galerkin implementations and preconditioners for implicit unsteady compressible flow simulations ⋮ Tensor-product preconditioners for higher-order space-time discontinuous Galerkin methods ⋮ Compact high order finite volume method on unstructured grids. III: Variational reconstruction ⋮ Petrov-Galerkin and discontinuous-Galerkin methods for time-domain and frequency-domain electromagnetic simulations ⋮ Hybrid multigrid methods for high-order discontinuous Galerkin discretizations ⋮ A cache-efficient reordering method for unstructured meshes with applications to wall-resolved large-eddy simulations ⋮ \(hp\)-Multigrid as Smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. I: Multilevel analysis ⋮ Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations ⋮ Scalable tensor-product preconditioners for high-order finite-element methods: scalar equations ⋮ On the effect of temporal error in high-order simulations of unsteady flows ⋮ BDDC preconditioning for high-order Galerkin least-squares methods using inexact solvers ⋮ \(p\)-multigrid high-order discontinuous Galerkin solution of compressible flows ⋮ High-order accurate time integration and efficient implicit solvers ⋮ A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids ⋮ On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations ⋮ An implicit block ILU smoother for preconditioning of Newton-Krylov solvers with application in high-order stabilized finite-element methods ⋮ \(p\)-multigrid matrix-free discontinuous Galerkin solution strategies for the under-resolved simulation of incompressible turbulent flows ⋮ A residual smoothing strategy for accelerating Newton method continuation ⋮ Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier-Stokes equations ⋮ Advantages of static condensation in implicit compressible Navier-Stokes DGSEM solvers ⋮ Boundary condition optimization to improve the stability of inviscid and compressible finite-volume methods on unstructured meshes ⋮ Development of a multiscale LES model in the context of a modal discontinuous Galerkin method ⋮ A discontinuous Galerkin method with block cyclic reduction solver for simulating compressible flows on GPUs
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids
- A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow
- High-order discontinuous Galerkin methods using an \(hp\)-multigrid approach
- A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
- Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier–Stokes Equations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems
- Convergence Analysis of Pseudo-Transient Continuation
- Numerical evaluation of two discontinuous Galerkin methods for the compressible Navier–Stokes equations
- Hierarchic multigrid iteration strategy for the discontinuous Galerkin solution of the steady Euler equations
- An efficient implicit discontinuous spectral Galerkin method
- An assessment of linear versus nonlinear multigrid methods for unstructured mesh solvers
This page was built for publication: Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations