A space-time discontinuous Galerkin method for the time-dependent Oseen equations

DOI10.1016/j.apnum.2007.11.010zbMath1148.76035OpenAlexW2003563005MaRDI QIDQ952800

J. J. W. van der Vegt, J. J. Sudirham

Publication date: 14 November 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.11.010

zbMATH Keywords

stabilitydeforming meshes\(hp\)-error analysis

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Computational error-analysis of a discontinuous Galerkin discretization applied to large-eddy simulation of homogeneous turbulence, Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations, A high-order discontinuous Galerkin method with unstructured space-time meshes for two-dimensional compressible flows on domains with large deformations, A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems, A high-order discontinuous Galerkin solver for the incompressible RANS equations coupled to the \(k\)-\(\varepsilon\) turbulence model, $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes, Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces, A hybrid discontinuous in space and time Galerkin method for wave propagation problems, New multi-implicit space-time spectral element methods for advection-diffusion-reaction problems, A generalized weak Galerkin method for Oseen equation, Monolithic and Partitioned Finite Element Schemes for Fsi Based on an Ale Divergence-Free Hdg Fluid Solver and a Tdnns Structural Solver, Implementing biological hybrid systems: allowing composition and avoiding stiffness, A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains, A space-time hybridizable discontinuous Galerkin method for linear free-surface waves, AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion), Discontinuous Galerkin method for the solution of a transport level-set problem, A space-time discontinuous Galerkin spectral element method for the Stefan problem, A hierarchical space-time spectral element and moment-of-fluid method for improved capturing of vortical structures in incompressible multi-phase/multi-material flows, Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem, Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains, An exactly mass conserving space-time embedded-hybridized discontinuous Galerkin method for the Navier-Stokes equations on moving domains, An interface-tracking space-time hybridizable/embedded discontinuous Galerkin method for nonlinear free-surface flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains
• An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier--Stokes equations
• Fourier two-level analysis for higher dimensional discontinuous Galerkin discretisation
• Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. II: Efficient flux quadrature.
• Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.
• Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
• Fourier two‐level analysis for discontinuous Galerkin discretization with linear elements
• Finite Element Methods for Navier-Stokes Equations
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Two-Level Fourier Analysis of a Multigrid Approach for Discontinuous Galerkin Discretization
• Mixedhp-DGFEM for Incompressible Flows
• The local discontinuous Galerkin method for the Oseen equations
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Local Discontinuous Galerkin Methods for the Stokes System
• A locally conservative LDG method for the incompressible Navier-Stokes equations
• DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS