Improved second-order hyperbolic residual-distribution scheme and its extension to third-order on arbitrary triangular grids

DOI10.1016/J.JCP.2015.07.054zbMath1349.65377OpenAlexW1038273842MaRDI QIDQ2374711

Alireza Mazaheri, Hiroaki Nishikawa

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.07.054

zbMATH Keywords

finite volumeHermite polynomialNavier-Stokeshigher-orderhigh-order integrationquadratic reconstructionfluctuation splitting

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (15)

Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system ⋮ Hyperbolic Balance Laws: Residual Distribution, Local and Global Fluxes ⋮ Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver ⋮ High-order shock-capturing hyperbolic residual-distribution schemes on irregular triangular grids ⋮ Developments of entropy-stable residual distribution methods for conservation laws I: Scalar problems ⋮ An enriched shifted boundary method to account for moving fronts ⋮ A grid-insensitive LDA method on triangular grids solving the system of Euler equations ⋮ High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs ⋮ Residual distribution schemes for Maxwell's equations ⋮ Non-unified compact residual-distribution methods for scalar advection-diffusion problems ⋮ On flux-difference residual distribution methods ⋮ Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system ⋮ A first-order hyperbolic system approach for dispersion ⋮ Efficient high-order discontinuous Galerkin schemes with first-order hyperbolic advection-diffusion system approach ⋮ Residual Based Method for Sediment Transport

Uses Software

• FUN3D

Cites Work

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