TVD-MOOD schemes based on implicit-explicit time integration
作者：
Highlights：
• Derivation and analysis of TVD property for scalar multi-scale equations.
• TVD schemes as parachute schemes motivated by the fact that unconditionally stable implicit and IMEX schemes are only first order accurate.
• Comprehensive framework to build a TVD IMEX parachute scheme from an arbitrarily high order non-TVD IMEX scheme.
• MOOD procedure for IMEX schemes.
• Asymptotic preserving property illustrated at the example of the isentropic Euler equations.
摘要
•Derivation and analysis of TVD property for scalar multi-scale equations.•TVD schemes as parachute schemes motivated by the fact that unconditionally stable implicit and IMEX schemes are only first order accurate.•Comprehensive framework to build a TVD IMEX parachute scheme from an arbitrarily high order non-TVD IMEX scheme.•MOOD procedure for IMEX schemes.•Asymptotic preserving property illustrated at the example of the isentropic Euler equations.
论文关键词：MOOD,L∞ Stability,TVD Schemes,IMEX RK schemes,Isentropic Euler equations
论文评审过程：Received 2 April 2022, Revised 5 July 2022, Accepted 7 July 2022, Available online 19 July 2022, Version of Record 19 July 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127397
