线性化改进物质点法的颗粒流仿真
Simulation of the Granular Flow Based on the Linearization Improved Material Point Method
蔡翼 1黄骏1
作者信息
- 1. 复旦大学航空航天系,上海 200433
- 折叠
摘要
作为一种新近发展出的无网格法,物质点法综合了基于网格方法的准确性与计算效率,以及无网格法对多种极端情境的适应性,因此该方法对采取连续介质模型的颗粒流数值计算等大变形问题十分有效.为提高物质点法对于颗粒流的计算效率,本文对物质点法进行了线性化改进并基于改进算法给出了若干算例.以物质点法的背景网格的结构化特点以及Courant-Friedrichs-Lewy(CFL)条件为基础,改进了自然坐标系到整体坐标系的求解过程,并使用改进的物质点法对颗粒流的颗粒堆坍塌、筒仓排出以及曲面上颗粒流对半球体的碰撞等算例进行了计算.在计算精度损失较小的情况下,提高了物质点法求解颗粒流问题的效率,验证了此改进方法的有效性与稳定性.
Abstract
As a newly developed meshless method,the material point method combines the accuracy and efficiency of mesh-based methods,as well as the adaptability of traditional meshless methods to a variety of extreme scenarios.It is very effective for large deformation problems such as the simulation of the granular flow based on continuum model.To improve the effective of the material point method for the simulation of the granular flow,this paper made linearization improvements to the material point method and subsequently gave several examples calculated by this improved algorithm.Based on the structural background grid of the material point method and the CFL conditions of simulation of the granular flow,the solution was improved from the natural coordinate system to the global coordinate system.Several examples of the granular flow such as column collapse,silo drainage and the problem of a granular flow impacting three hemispheres were calculated using improved material point method.Under the condition of small accuracy loss,the efficiency of the granular flow simulation was improved,which verified the effectiveness and stability of this improved method.
关键词
颗粒流/物质点法/无网格法/连续介质模型Key words
granular flow/material point method/meshless method/continuum model引用本文复制引用
基金项目
国家自然科学基金面上项目(12273004)
出版年
2024
NETL
NSTL
万方数据