An efficient invariant-region-preserving central scheme for hyperbolic conservation laws

作者：

Highlights：

• New second-order accurate invariant-region-preserving(IRP) unstaggered-central scheme for the hyperbolic conservation laws.

• Extended IRP limiter, which is applied to reconstructed slopes such that it remains effective in the vicinity of the active cell.

• Proof of stability, which is so called froward-backward splitting, is adaptable for scalar equations and general nonlinear systems.

• More relaxed CFL condition implies the larger time step.

摘要

•New second-order accurate invariant-region-preserving(IRP) unstaggered-central scheme for the hyperbolic conservation laws.•Extended IRP limiter, which is applied to reconstructed slopes such that it remains effective in the vicinity of the active cell.•Proof of stability, which is so called froward-backward splitting, is adaptable for scalar equations and general nonlinear systems.•More relaxed CFL condition implies the larger time step.

论文关键词：Hyperbolic conservation laws,Unstaggered-central scheme,Invariant-region-preserving principle,Minimum-maximum-preserving principle,Positivity-preserving principle,Forward-backward splitting

论文评审过程：Received 13 May 2022, Revised 1 August 2022, Accepted 19 August 2022, Available online 6 September 2022, Version of Record 6 September 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127500