On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments

DOI10.1016/j.jcp.2020.109516zbMath1440.65086OpenAlexW3021317596MaRDI QIDQ2194340

Mengping Zhang, Chi-Wang Shu, Shengrong Ding

Publication date: 25 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109516

zbMATH Keywords

hyperbolic conservation lawsconservationhigh-order finite difference methodsweighted essentially nonoscillatory (WENO) schemeinverse Lax-Wendroff methodmodification of numerical flux

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (8)

SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary ⋮ On the role of global conservation property for finite difference schemes ⋮ Boundary treatment of linear multistep methods for hyperbolic conservation laws ⋮ A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces ⋮ Inverse Lax-Wendroff Boundary Treatment: a Survey ⋮ A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids ⋮ Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations ⋮ A high order moving boundary treatment for convection-diffusion equations

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