Boundary treatment of linear multistep methods for hyperbolic conservation laws

作者：

Highlights：

• We develop the boundary treatment method for high-order linear multistep methods (LMMs) of hyperbolic conservation laws.

• We test the method with two third-order LMMs, one with a constant time step and the other with a variable time step.

• 1D and 2D benchmark numerical examples show expected high order accuracy and excellent stability of the method.

摘要

•We develop the boundary treatment method for high-order linear multistep methods (LMMs) of hyperbolic conservation laws.•We test the method with two third-order LMMs, one with a constant time step and the other with a variable time step.•1D and 2D benchmark numerical examples show expected high order accuracy and excellent stability of the method.

论文关键词：Hyperbolic conservation laws,Linear multistep methods,Boundary treatment,Inverse lax-Wendroff

论文评审过程：Received 2 June 2021, Revised 13 December 2021, Accepted 7 March 2022, Available online 19 March 2022, Version of Record 19 March 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127079