TITLE:
Improved Grid Relaxation with Zero-Order Integrators
AUTHORS:
Jan Mueller, Hans-Georg Matuttis
KEYWORDS:
Zero-Order Solver, Equilibration, Grid Generation, Fluid Mechanics
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.6,
June
17,
2021
ABSTRACT: 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 equilibrium