A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations

Autor: Li, Hao, Xie, Shusen, Zhang, Xiangxiong
Rok vydání: 2023
Předmět:
Zdroj: SIAM Journal on Numerical Analysis 56.6 (2018): 3308-3345
Druh dokumentu: Working Paper
DOI: 10.13039/100000001
Popis: We show that the classical fourth order accurate compact finite difference scheme with high order strong stability preserving time discretizations for convection diffusion problems satisfies a weak monotonicity property, which implies that a simple limiter can enforce the bound-preserving property without losing conservation and high order accuracy. Higher order accurate compact finite difference schemes satisfying the weak monotonicity will also be discussed.
Databáze: arXiv