On the loss and recovery of second-order accuracy with U-MUSCL

DOI10.1016/j.jcp.2020.109600zbMath1437.76030OpenAlexW3032187327MaRDI QIDQ782043

Hiroaki Nishikawa

Publication date: 21 July 2020

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109600

zbMATH Keywords

unstructured gridsreconstructionsecond-order accuracyfinite-volumeMUSCLlinear exactness

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Compressible Navier-Stokes equations (76N06)

Related Items (4)

A second-order extension of a robust implicit-explicit acoustic-transport splitting scheme for two-phase flows ⋮ A flux correction for finite-volume discretizations: achieving second-order accuracy on arbitrary polyhedral grids ⋮ An efficient quadratic interpolation scheme for a third-order cell-centered finite-volume method on 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

• FUN3D

Cites Work

• Unnamed Item
• Robust and accurate viscous discretization via upwind scheme. I: Basic principle
• Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
• 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
• Strong Stability-Preserving High-Order Time Discretization Methods

This page was built for publication: On the loss and recovery of second-order accuracy with U-MUSCL