Accuracy-preserving source term quadrature for third-order edge-based discretization

DOI10.1016/j.jcp.2017.04.075zbMath1380.65334OpenAlexW2610427119MaRDI QIDQ1693924

Hiroaki Nishikawa, Yi Liu

Publication date: 1 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.04.075

zbMATH Keywords

finite volume methodsource termcompatible discretizationthird-orderedge-based discretization

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (9)

A flux correction for finite-volume discretizations: achieving second-order accuracy on arbitrary polyhedral grids ⋮ ColESo: collection of exact solutions for verification of numerical algorithms for simulation of compressible flows ⋮ Heterogeneous CPU+GPU parallelization for high-accuracy scale-resolving simulations of compressible turbulent flows on hybrid supercomputers ⋮ О вычислении градиента в методе коррекции потоков ⋮ Efficient gradient stencils for robust implicit finite-volume solver convergence on distorted grids ⋮ A face-area-weighted `centroid' formula for finite-volume method that improves skewness and convergence on triangular grids ⋮ On False Accuracy Verification of UMUSCL Scheme ⋮ A hyperbolic Poisson solver for tetrahedral grids ⋮ Extending EB3 scheme for the differential conservation law from node-centered to cell-centered control volumes. I: Basic formula on regular cells

Uses Software

• EDGE
• FUN3D
• Premo
• NSU3D

Cites Work

• Source term discretization effects on the steady-state accuracy of finite volume schemes
• First-, second-, and third-order finite-volume schemes for diffusion
• High-order flux correction for viscous flows on arbitrary unstructured grids
• Mesh quality effects on the accuracy of CFD solutions on unstructured meshes
• First, second, and third order finite-volume schemes for advection-diffusion
• Accuracy-preserving boundary flux quadrature for finite-volume discretization on unstructured grids
• High-order flux correction/finite difference schemes for strand grids
• Notes on accuracy of finite-volume discretization schemes on irregular grids
• A class of implicit upwind schemes for Euler simulations with unstructured meshes
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A Jacobian-free edge-based Galerkin formulation for compressible flows
• An efficient correction method to obtain a formally third-order accurate flow solver for node-centered unstructured grids
• A residual-based compact scheme for the unsteady compressible Navier-Stokes equations
• Divergence formulation of source term
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems

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