Improved Grid Relaxation with Zero-Order Integrators
Improved Grid Relaxation with Zero-Order Integrators作者机构：Department of Mechanical and Intelligent Systems Engineering The University of Electro-Communications Chofu Japan
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2021年第9卷第6期
页 面：1257-1270页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Zero-Order Solver Equilibration Grid Generation Fluid Mechanics
摘 要：In this research, we have improved a relaxation method for triangular meshes intended for finite element fluid simulations which contain discrete element particles. The triangle edges are treated as springs which relax their lengths towards a “better force equilibrium where the triangles are closer to equilateral shape. The actual kernel is an improved zero order integrator which is able to follow reconfigurations of the particles faster than earlier methods. The improved relaxation allows larger timesteps in the flow simulation and leads to more stable, faster mesh reconfigurations for fast moving particles in the flow. Additionally, this demonstrates how integrators of the same order zero can nevertheless have different convergence speeds towards
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