Simulation of the Granular Flow Based on the Linearization Improved Material Point Method
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.
granular flowmaterial point methodmeshless methodcontinuum model