A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws

作者：

Highlights：

• The direct space time scheme is applied to the hyperbolic conservation laws.

• The limiter function is built according to the analysis of the method.

• A comparison with the standard non-oscillatory scheme is given.

• The TVD DST scheme is able to recover the complicated solution structure.

摘要

•The direct space time scheme is applied to the hyperbolic conservation laws.•The limiter function is built according to the analysis of the method.•A comparison with the standard non-oscillatory scheme is given.•The TVD DST scheme is able to recover the complicated solution structure.

论文关键词：High resolution schemes,Non-oscillatory schemes,Hyperbolic conservation laws,DST schemes,Upwind and symmetric schemes

论文评审过程：Received 26 February 2020, Revised 23 November 2020, Accepted 14 January 2021, Available online 30 January 2021, Version of Record 30 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126013