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Gridless DSMC

机译：无网格DSMC

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This work concerns the development of a gridless method for modeling the inter-particle collisions of a gas. Conventional fixed-grid algorithms are susceptible to grid-mismatch to the physical system, resulting in erroneous solutions. On the contrary, a gridless algorithm can be used to simulate various physical systems without the need to perform grid-mesh optimization. An octree algorithm provides the gridless character to a direct simulation Monte Carlo (DSMC) code by automatically sorting nearest-neighbor gas particles into local clusters. Automatic clustering allows abstraction of the DSMC algorithm from the physical system of the problem in question. This abstraction provides flexibility for domains with complex geometries as well as a decreased code development time for a given physical problem. To evaluate the practicality of this code, the time required to perform the gridless overhead from the octree sort is investigated. This investigation shows that the gridless method can indeed be practical and compete with other DSMC codes. To validate gridless DSMC, results of several benchmark simulations are compared to results from a fixed-grid code. The benchmark simulations include several Couette flows of differing Knudsen number, low-velocity flow past a thin plate, and two hypersonic flows past embedded objects at a Mach number of 10. The results of this comparison to traditional DSMC are favorable. This work is intended to become part of a larger gridless simulation tool for collisional plasmas. Corresponding work includes a gridless field solver using an octree for the evaluation of long range electrostatic forces. We plan to merge the two methods creating a gridless framework for simulating collisional-plasmas. (C) 2008 Elsevier Inc. All rights reserved.
机译：这项工作涉及用于建模气体的粒子间碰撞的无网格方法的开发。常规的固定网格算法易受网格与物理系统不匹配的影响，从而导致错误的解决方案。相反，无网格算法可用于模拟各种物理系统，而无需执行网格优化。八叉树算法通过将最近邻的气体粒子自动分类到局部簇中，从而将无网格特征提供给直接模拟的蒙特卡洛（DSMC）代码。自动聚类允许从所讨论问题的物理系统中提取DSMC算法。这种抽象为具有复杂几何形状的域提供了灵活性，并减少了给定物理问题的代码开发时间。为了评估此代码的实用性，研究了从八叉树排序执行无网格开销所需的时间。这项调查表明，无网格方法确实可以实用并且可以与其他DSMC代码竞争。为了验证无网格DSMC，将几种基准模拟的结果与固定网格代码的结果进行比较。基准模拟包括几个具有不同Knudsen数的Couette流，通过薄板的低速流以及通过马赫数为10的嵌入物体的两个高超音速流。与传统DSMC进行比较的结果是有利的。这项工作旨在成为更大的碰撞等离子体无网格仿真工具的一部分。相应的工作包括使用八叉树进行远程静电力评估的无网格场求解器。我们计划将这两种方法合并，以创建用于模拟碰撞等离子体的无网格框架。 （C）2008 Elsevier Inc.保留所有权利。

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