Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier-Stokes equations

DOI10.1016/j.jcp.2010.10.029zbMath1343.76018OpenAlexW2081396510MaRDI QIDQ550856

Vít Dolejší, M. Holík, Jiří Hozman

Publication date: 13 July 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.10.029

zbMATH Keywords

discontinuous Galerkin methodcompressible Navier-Stokes equationsstopping criterioniterative solverlinear algebraic systemssemi-implicit time discretizationadaptive choice of the time step

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows ⋮ Fast time implicit-explicit discontinuous Galerkin method for the compressible Navier-Stokes equations ⋮ Time parallelism and Newton-adaptivity of the two-derivative deferred correction discontinuous Galerkin method ⋮ \textit{hp}-DGFEM for nonlinear convection-diffusion problems ⋮ Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains ⋮ Anisotropic \(hp\)-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs ⋮ Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows ⋮ Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors ⋮ On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates

Uses Software

• ANGENER

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• On a robust discontinuous Galerkin technique for the solution of compressible flow
• Preconditioner updates applied to CFD model problems
• Discontinuous Galerkin solution of compressible flow in time-dependent domains
• Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations
• Transonic flow simulations using an upstream centered scheme of Godunov in finite elements
• Finite element computation of unsteady viscous compressible flows
• Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
• A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow
• A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension
• Building blocks for arbitrary high order discontinuous Galerkin schemes
• Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
• Semi-Implicit DGFE Discretization of the Compressible Navier–Stokes Equations: Efficient Solution Strategy
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• Adaptive backward difference formula–Discontinuous Galerkin finite element method for the solution of conservation laws
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Inexact Newton Methods
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• On the discontinuous Galerkin method for the numerical solution of the Navier–Stokes equations
• Choosing the Forcing Terms in an Inexact Newton Method
• Multitarget Error Estimation and Adaptivity in Aerodynamic Flow Simulations