论文标题
探索可按需压缩流的颗粒的冲击捕获方案
Exploring shock-capturing schemes for Particles on Demand simulation of compressible flows
论文作者
论文摘要
在这项探索性研究中，我们在粒子的框架内按需动力学模型应用了捕捉捕获方案，以模拟轻度和强的冲击波和不连续性的可压缩流。该模型基于半拉格朗日方法，其中信息沿特征传播，同时采用了一组冲击概念，例如总变化减少和加权基本上是非振荡的，用于捕获不连续性和冲击波。结果表明，重建方案能够消除冲击波位置的振荡，并与颗粒按需模型的伽利亚不变性性质一起，可以对轻度至极端可压缩基准进行稳定的模拟。此外，讨论了重建方案的基本数值特性，例如它们的光谱分析和准确性顺序。
In this exploratory study, we apply shock-capturing schemes within the framework of the Particles on Demand kinetic model to simulate compressible flows with mild and strong shock waves and discontinuities. The model is based on the semi-Lagrangian method where the information propagates along the characteristics while a set of shock-capturing concepts such as the total variation diminishing and weighted essentially non-oscillatory schemes are employed to capture the discontinuities and the shock-waves. The results show that the reconstruction schemes are able to remove the oscillations at the location of the shock waves and together with the Galilean invariance nature of the Particles on Demand model, stable simulations of mild to extreme compressible benchmarks can be carried out. Moreover, the essential numerical properties of the reconstruction schemes such as their spectral analysis and order of accuracy are discussed.
