浙江大学学报（理学版）2024，Vol.51Issue(1)：29-40,63,13.DOI:10.3785/j.issn.1008-9497.2024.01.005
二维磁流体方程的高分辨率旋转通量格式
High resolution rotated flux scheme for two-dimensional magnetohydrodynamics equations
摘要
Abstract
The rotated flux method could be used to effectively eliminate the shock instability of the approximate Riemann solver and suppress the generation of non-physical phenomenon if the equations to be solved meet the rotational invariance.For the 2D ideal magnetohydrodynamics(MHD)and shallow water magnetohydrodynamics(SWMHD)equations,the rotation-like matrix of flux function was constructed,and the corresponding rotational invariance theorem was given with proof,which was then used to deal with the governing equations applying quasi-1D method to derive the semi-discrete rotated flux scheme.Combining entropy stable flux and anti-diffusive flux by a flux limiter,a new flux that can adaptively adjust the dissipation term was obtained.Numerical experiments show that the new scheme can accurately capture the structure of solution,has high resolution,strong robustness and can be easily extended to higher dimensions.关键词
理想磁流体方程/浅水波磁流体方程/旋转不变性/高分辨率熵稳定通量Key words
ideal magnetohydrodynamics equations/shallow water magnetohydrodynamics equations/rotational invariance/high resolution entropy stable flux分类
数理科学引用本文复制引用
郑素佩,翟梦情,李琦,建芒芒..二维磁流体方程的高分辨率旋转通量格式[J].浙江大学学报（理学版）,2024,51(1):29-40,63,13.基金项目
国家自然科学基金资助项目(11971075 （）
12101073) （）
陕西省自然科学基金青年项目(2020JQ-338). （2020JQ-338）
