当前位置：
X-MOL 学术
›
Int. J. Numer. Methods Fluids
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
A conservative flux‐splitting method for steady shock capturing
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-11-16 , DOI: 10.1002/fld.4942 Zhibin Zhu 1 , Qing Shang 1 , Qing Shen 1
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-11-16 , DOI: 10.1002/fld.4942 Zhibin Zhu 1 , Qing Shang 1 , Qing Shen 1
Affiliation
|
A novel flux‐splitting method that can preserve the flux conservation properties for the steady shock waves is proposed in present paper. The proposed method is based on the total variation diminishing (TVD) scheme, and the dissipative flux term is constructed by the flux directly instead of conservative variables. Similar transformations are imposed on the anti‐dissipation term, which is formulated by utilizing the limiter function. Numerical experiments were performed on the one, quasi one‐ and two‐dimensional shock wave problems. The computed results show that, the steady shock waves can be accurately captured within two grid points by the proposed conservative flux‐splitting (CFS) method, and numerical oscillations are successfully eliminated near the flow discontinuities. The conservation and accuracy of present method are demonstrated by comparisons with the TVD, flux vector splitting and flux difference splitting methods.
中文翻译：
稳健的激振捕获的保守磁通分解方法
提出了一种新的能保持稳态激波通量守恒特性的分流方法。所提出的方法是基于总变化量减小（TVD）方案的，耗散通量项是直接由通量而不是保守变量构造的。对抗耗散项也进行了类似的转换，这是通过利用限制器函数来公式化的。对一维，准一维和二维冲击波问题进行了数值实验。计算结果表明，通过所提出的保守通量分裂（CFS）方法，可以在两个网格点内准确捕获稳态冲击波，并且可以成功消除流动不连续附近的数值振荡。
更新日期：2020-11-16
中文翻译：
稳健的激振捕获的保守磁通分解方法
提出了一种新的能保持稳态激波通量守恒特性的分流方法。所提出的方法是基于总变化量减小（TVD）方案的，耗散通量项是直接由通量而不是保守变量构造的。对抗耗散项也进行了类似的转换，这是通过利用限制器函数来公式化的。对一维，准一维和二维冲击波问题进行了数值实验。计算结果表明，通过所提出的保守通量分裂（CFS）方法，可以在两个网格点内准确捕获稳态冲击波，并且可以成功消除流动不连续附近的数值振荡。
京公网安备 11010802027423号