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An improved Quiet Direct Simulation method for Eulerian fluids using a second-order scheme

机译：使用二阶方案的改进的欧拉流体安静直接模拟方法

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In this paper, a second-order scheme for the Quiet Direct Simulation (QDS) of Eulerian fluids is proposed. The QDS method replaces the random sampling method used in Direct Simulation Monte Carlo (DSMC) methods with a technique whereby particles are moved, have their properties distributed onto a mesh, are destroyed and then are recreated deterministically from the properties stored on the mesh using Gauss-Hermite quadrature weights and abscissas. Particles are permitted to move in physically realistic directions so flux exchange is not limited to cells sharing an adjacent interface as in conventional, direction decoupled finite volume solvers. In this paper the method is extended by calculating the fluxes of mass, momentum and energy between cells assuming a linear variation of density, temperature and velocity in each cell and using these fluxes to update the mass, velocity and internal energy carried by each particle. This Euler solver has several advantages including large dynamic range, no statistical scatter in the results, true direction fluxes to all nearby neighbors and is computationally inexpensive. The second-order method is found to reduce the numerical diffusion of QDS as demonstrated in several verification studies. These include unsteady shock tube flow, a two-dimensional blast wave and of the development of Mach 3 flow over a forward facing step in a wind tunnel, which are compared with previous results from the literature wherever is possible. Finally the implementation of QUIETWAVE, a rapid method of simulating blast events in urban environments, is introduced and the results of a test case are presented. (C) 2008 Elsevier Inc. All rights reserved.
机译：本文提出了一种欧拉流体的安静直接模拟（QDS）的二阶方案。 QDS方法用一种技术代替了直接模拟蒙特卡洛（DSMC）方法中使用的随机采样方法，该技术可以移动粒子，将其属性分布到网格上，然后销毁，然后使用高斯根据存储在网格上的属性确定性地重新创建-Hermite正交权重和横坐标。允许粒子在物理上真实的方向上移动，因此，通量交换不仅限于像常规的方向解耦有限体积求解器中那样共享相邻界面的单元。在本文中，该方法通过以下方法扩展：计算每个单元之间的质量，动量和能量通量，并假设每个单元中密度，温度和速度呈线性变化，并使用这些通量更新每个粒子所携带的质量，速度和内能。该Euler求解器具有多个优点，包括动态范围大，结果无统计分散，流向所有附近邻居的真实方向通量，并且计算便宜。如多项验证研究所示，发现二阶方法可减少QDS的数值扩散。其中包括不稳定的激波管流动，二维爆炸波以及风洞中向前台阶上的3马赫流动的发展，并尽可能与文献中的先前结果进行比较。最后，介绍了快速模拟城市环境中爆炸事件的方法QUIETWAVE的实现，并给出了测试案例的结果。 （C）2008 Elsevier Inc.保留所有权利。

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