应用数学和力学2023，Vol.44Issue(11)：1398-1412,15.DOI:10.21656/1000-0887.440178
求解理想磁流体方程的四阶WENO型熵稳定格式
A 4th-Order WENO-Type Entropy Stable Scheme for Ideal Magnetohydrodynamic Equations
摘要
Abstract
A 4th-order entropy stable semi-discrete finite volume scheme was constructed for ideal magneto-hydrodynamic equations.This scheme combines the high-order entropy conservative flux with the dissipation term reconstructed with the WENO scheme in the spatial direction.With a switching function added to the dissi-pation term,the numerical flux has lower dissipation and the WENO reconstruction satisfies the sign property.The source term used to control the divergence of the magnetic field is discretized with the center difference scheme to obtain high-order accuracy consistent with the entropy conservative flux.Several 1D and 2D cases show that,the scheme has no oscillation and strong robustness,and can accurately capture discontinuities.关键词
理想磁流体方程/熵稳定格式/WENO重构/有限体积法Key words
ideal magnetohydrodynamic equation/entropy stable scheme/WENO reconstruction/finite vol-ume method分类
数理科学引用本文复制引用
张成治,郑素佩,陈雪,张蕊..求解理想磁流体方程的四阶WENO型熵稳定格式[J].应用数学和力学,2023,44(11):1398-1412,15.基金项目
国家自然科学基金项目(11971075) （11971075）
