Third order residual distribution schemes for the Navier-Stokes equations

DOI10.1016/j.jcp.2010.12.026zbMath1343.76021OpenAlexW1982556196MaRDI QIDQ550872

Mario Ricchiuto, Nadège Villedieu, Herman Deconinck, Tiago Quintino

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.2010.12.026

zbMATH Keywords

high order schemesresidual distribution schemesviscous term

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

Hyperbolic Balance Laws: Residual Distribution, Local and Global Fluxes ⋮ An entropy-variables-based formulation of residual distribution schemes for non-equilibrium flows ⋮ Residual distribution method for high Reynolds number simulations on complex geometries ⋮ On hybrid residual distribution-Galerkin discretizations for steady and time dependent viscous laminar flows ⋮ A positivity-preserving RD-FV scheme for diffusion problems on triangular meshes ⋮ Residual distribution schemes for steady radiative transfer equations on unstructured meshes ⋮ An implicit dual-time stepping spectral difference lattice Boltzmann method for simulation of viscous compressible flows on structured meshes ⋮ On the well-posedness of the multi-dimensional Roe-Liu-Vinokur linearization for residual distribution schemes

Cites Work

• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes
• A first-order system approach for diffusion equation. II: Unification of advection and diffusion
• Residual distribution schemes: current status and future trends
• High-order fluctuation schemes on triangular meshes
• A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
• On uniformly high-order accurate residual distribution schemes for advection-diffusion
• Spectral (finite) volume method for conservation laws on unstructured grids. VI: Extension to viscous flow

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