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A 3-D pseudo-arc-length moving-mesh method for numerical simulation of detonation wave propagation
Shock Waves ( IF 2.2 ) Pub Date : 2020-10-13 , DOI: 10.1007/s00193-020-00967-8 T. Ma , J. Zhao , J. Ning
Shock Waves ( IF 2.2 ) Pub Date : 2020-10-13 , DOI: 10.1007/s00193-020-00967-8 T. Ma , J. Zhao , J. Ning
In this paper, we propose a robust pseudo-arc-length moving-mesh method (PALM) which adopts the strategy of overall movement and block calculation for numerical simulation of detonation wave propagation in three dimensions. The pseudo-arc-length moving-mesh method involves governing equations’ evolution, mesh redistribution, and positivity-preserving analysis. Second-order finite-volume schemes and multistage total-variation-diminishing Runge–Kutta methods are used for governing equations’ evolution, while mesh redistribution is an iterative procedure that includes mesh point redistribution and cell average conservative interpolation. In addition, positivity-preserving analysis is discussed to avoid the density or pressure becoming negative in the process of numerical calculation. Finally, several numerical examples show that our method is feasible and effective. The advantage of the PALM scheme is that we can get similar results as the Monotonic Upstream-centered Scheme for Conservation Laws (MUSCL) which requires more cells and computational run time. It is demonstrated that the computational grids using the PALM scheme can capture the detonation front.
中文翻译:
一种用于数值模拟爆震波传播的 3-D 伪弧长移动网格方法
在本文中,我们提出了一种鲁棒的伪弧长移动网格方法(PALM),该方法采用整体移动和块计算的策略,用于三维爆炸波传播的数值模拟。拟弧长动网格法涉及控制方程的演化、网格重分布和正性保持分析。二阶有限体积方案和多级全变递减 Runge-Kutta 方法用于控制方程的演化,而网格重分布是一个迭代过程,包括网格点重分布和单元平均保守插值。此外,还讨论了保正性分析,以避免在数值计算过程中密度或压力变为负值。最后,几个数值例子表明我们的方法是可行和有效的。PALM 方案的优点是我们可以获得与单调上游为中心的守恒定律方案(MUSCL)类似的结果,后者需要更多的单元和计算运行时间。结果表明,使用 PALM 方案的计算网格可以捕获爆轰前沿。
更新日期:2020-10-13
中文翻译:
一种用于数值模拟爆震波传播的 3-D 伪弧长移动网格方法
在本文中,我们提出了一种鲁棒的伪弧长移动网格方法(PALM),该方法采用整体移动和块计算的策略,用于三维爆炸波传播的数值模拟。拟弧长动网格法涉及控制方程的演化、网格重分布和正性保持分析。二阶有限体积方案和多级全变递减 Runge-Kutta 方法用于控制方程的演化,而网格重分布是一个迭代过程,包括网格点重分布和单元平均保守插值。此外,还讨论了保正性分析,以避免在数值计算过程中密度或压力变为负值。最后,几个数值例子表明我们的方法是可行和有效的。PALM 方案的优点是我们可以获得与单调上游为中心的守恒定律方案(MUSCL)类似的结果,后者需要更多的单元和计算运行时间。结果表明,使用 PALM 方案的计算网格可以捕获爆轰前沿。