期刊论文

A novel high-resolution flux difference splitting scheme

中文

计算力学学报

1007-4708

2021

38

06

810-818

10.7511/jslx20200810001

国家自然科学基金（11871414）； 湖南省自然科学基金（2021JJ40009）资助项目；

本校为第一机构

传统的Roe格式不满足熵条件并且在计算激波问题时会遭遇不同形式的不稳定现象,如慢行激波的波后振荡和红玉(carbuncle)现象。基于Zha-Bilgen对流-压力通量分裂方法,构造一种新型的通量差分裂格式。利用约旦标准型理论,通过添加广义特征向量构造通量差分裂方法来计算对流子系统。压力子系统具有一组完备的线性无关特征向量,因此可以构造传统的通量差分裂格式进行计算。为了提高接触间断的分辨率,利用界面变差下降(BVD)算法来重构对流通量耗散项中的密度差。激波稳定性分析表明,新格式可以有效地衰减数值误差,从而抑制不稳定现象的发生。一系列数值实验证明了本文构造的新型通量差分裂格式比Roe格...

The conventional Roe scheme does not satisfy the entropy condition and encounters different forms of instability in calculation of shocks,such as the postshock oscillations in slowly moving shocks and the carbuncle phenomenon.Based on the Zha-Bilgen convection-pressure flux splitting method,a novel flux difference splitting scheme is proposed.Using the theory of Jordan form,a flux difference splitting method is constructed by adding generalized eigenvectors to calculate the convection subsystem.The pressure subsystem has a complete set of linearly independent eigenvectors,so it can be calculat...