A numerical study of the performance of alternative weighted ENO methods based on various numerical fluxes for conservation law
A numerical study of the performance of alternative weighted ENO methods based on various numerical fluxes for conservation law
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基于守恒定律的各种数值通量的替代加权 ENO 方法性能的数值研究
DOI：
10.1016/j.amc.2016.10.023
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发表时间：
2017-03
影响因子：
4
通讯作者：
Liu Hongxia
中科院分区：
文献类型：
--
作者：
Liu Hongxia
本文系统地研究了基于不同数值通量的加权本质非振荡（WENO）方法对非线性双曲型守恒律的求解性能。我们的目标是通过选择合适的数值通量来提高守恒律的性能。本文主要研究了双曲守恒律的五阶精确有限差分WENO法和三阶精确TVD龙格-库塔时间离散法的八种数值通量的比较。此外，我们在[9]中使用了一种新的flux形式框架，该框架是由Shu和Osher在[16]中提出的。详细的数值研究主要针对一维系统情况，包括对CPU成本、精度、非振荡特性和不连续点分辨率的讨论。对二维系统也进行了数值试验。
In this paper, we systematically investigate the performance of the weighted essential non-oscillatory (WENO) methods based on various numerical fluxes for the nonlinear hyperbolic conservation law. Our objective is enhancing the performance for the conservation laws through picking out the suitable numerical fluxes. We focus our attention entirely on the comparison of eight numerical fluxes with the fifth-order accurate finite difference WENO methods and third-order accurate TVD Runge–Kutta time discretization for hyperbolic conservation laws. In addition, we give their implementation based on a new form framework of flux which we used in [9] and was proposed by Shu and Osher in [16]. The detailed numerical study is mainly implemented for the one dimensional system case, including the discussion of the CPU cost, accuracy, non-oscillatory property, and resolution of discontinuities. Numerical tests are also performed for two dimensional systems.
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影响因子：
2
作者：
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通讯作者：
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影响因子：
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