A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations

DOI10.1016/j.cpc.2014.07.007zbMath1348.76050arXiv1311.7477OpenAlexW2104385856MaRDI QIDQ339275

Matthias Wiesenberger, Lukas Einkemmer

Publication date: 10 November 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7477

zbMATH Keywords

incompressible Navier-Stokes equationsconservative methodsdiscontinuous GalerkinArakawa's methodtwo-dimensional fluids

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) 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)

Related Items (8)

A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation ⋮ Three discontinuous Galerkin schemes for the anisotropic heat conduction equation on non-aligned grids ⋮ Streamline integration as a method for two-dimensional elliptic grid generation ⋮ An exponential integrator for the drift-kinetic model ⋮ A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives ⋮ A Low-Rank Algorithm for Weakly Compressible Flow ⋮ An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime ⋮ Unnamed Item

Uses Software

• CUSP
• Thrust

Cites Work

• Unnamed Item
• A high-order discontinuous Galerkin method for 2D incompressible flows
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• Positivity Preservation and Advection Algorithms with Applications to Edge Plasma Turbulence
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Accuracy of Spectral and Finite Difference Schemes in 2D Advection Problems
• Formation and temporal evolution of the Lamb-dipole

This page was built for publication: A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations