质点积分守恒重映方法

A conservative remapping method using particle integral

针对大变形流体动力学数值计算中经常需要应用的网格重构与物理量重映技术,提出了一种逻辑简单的质点积分守恒重映方法。将旧网格细分为众多有体积的质点,并将旧网格的物理量分配到各个质点,新网格各守恒量的积分直接由落在新网格内的所有质点的物理量累加。建立了收敛速度极快的计算格式,采用的控制体很好地解决了速度的重映计算问题。分析了此守恒重映方法的收敛性与守恒性,研究了积分控制体对速度计算的影响。

This work presents a conservative remapping method using particle integral to solve the serious distortion problems, which reduce the complexity of remapping and retain the accuracy of scheme. By partitioning old grids into great many of particles which have volume, all physical quantities of old grids are redistributed to the particles. The integral of the conservation quantity in new grid is equal to the total of the physical quantity of the particles which included in the new grid. An improved numerical scheme is established, which converges rapidly. An unique control system is used to resolve the calculation problem of node velocity. Further, the convergence and conservation of this remapping method are analyzed, and the influence of the integral control system to calculate velocity is studied.