Accuracy variations in residual distribution and finite volume methods on triangular grids

DOI10.1007/s40840-015-0292-0zbMath1372.65249OpenAlexW2253666908MaRDI QIDQ2399727

Hossain Chizari, Farzad Ismail

Publication date: 24 August 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0292-0

zbMATH Keywords

numerical examplestriangular gridskewnessresidual distributionnonlinear Burgers equationorder-of-accuracycell-vertex finite volumeavection equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) First-order hyperbolic equations (35L02)

Related Items (6)

Time-explicit numerical methods for Maxwell's equation in second-order form ⋮ Well-balanced energy-stable residual distribution methods for the shallow water equations with varying bottom topography ⋮ Linearity preserving modified LDA methods for unsteady advection-diffusion problems ⋮ On flux-difference residual distribution methods ⋮ Cell-vertex entropy-stable finite volume methods for the system of Euler equations on unstructured grids ⋮ An entropy-stable residual distribution scheme for the system of two-dimensional inviscid shallow water equations

Cites Work

• A multidimensional generalization of Roe's flux difference splitter for the Euler equations
• First, second, and third order finite-volume schemes for advection-diffusion
• Residual distribution schemes: current status and future trends
• Accuracy analysis of unstructured finite volume discretization schemes for diffusive fluxes
• High aspect ratio grid effects on the accuracy of Navier-Stokes solutions on unstructured meshes
• Evaluation of linear and nonlinear convection schemes on multidimensional non-orthogonal grids with applications to KVLCC2 tanker
• Comparison of solution accuracy of multidimensional residual distribution and Godunov-type finite-volume methods
• A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art

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