Title
A novel mesh regeneration algorithm for 2D FEM simulations of flows with moving boundary
Abstract
A novel mesh regeneration algorithm is proposed to maintain the mesh structure during a finite element simulation of flows with moving solid boundary. With the current algorithm, a new body-fitted mesh can be efficiently constructed by solving a set of Laplace equations developed to specify the displacements of individual mesh elements. These equations are subjected to specific boundary conditions determined by the instantaneous body motion and other flow boundary conditions. The proposed mesh regeneration algorithm has been implemented on an arbitrary Lagrangian-Eulerian (ALE) framework that employs an operator-splitting technique to solve the Navier-Stokes equations. The integrated numerical scheme was validated by the numerical results of four existing problems: a flow over a backward-facing step, a uniform flow over a fixed cylinder, the vortex-induced vibration of an elastic cylinder in uniformly incident flow, and a complementary problem that compares the transient drag coefficient for a cylinder impulsively set into motion to that measured on a fixed cylinder in a starting flow. Good agreement with the numerical or experimental data in the literature was obtained and new transient flow dynamics was revealed. The scheme performance is further examined with respect to the parameter employed in the mesh regeneration algorithm.
Year
DOI
Venue
2011
10.1016/j.jcp.2011.01.008
J. Comput. Physics
Keywords
Field
DocType
mesh structure,mesh regeneration algorithm,fixed cylinder,moving fem,new transient flow dynamic,novel mesh regeneration algorithm,flow–structure interactions,vortex-induced vibration,flow boundary condition,proposed mesh regeneration algorithm,ale,new body-fitted mesh,mesh regeneration,incident flow,fem simulation,individual mesh element,vortex induced vibration,drag coefficient,laplace equation,boundary condition
Boundary value problem,Mathematical optimization,Vortex-induced vibration,Mathematical analysis,Cylinder,Potential flow around a circular cylinder,Algorithm,Finite element method,Mathematics,Navier–Stokes equations,Drag coefficient,Potential flow
Journal
Volume
Issue
ISSN
230
9
Journal of Computational Physics
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
F. L. Yang131.17
C. H. Chen200.34
D. L. Young3164.59