Title: Three-dimensional ALE-FEM method for fluid flow in domains with moving boundaries part 1: algorithm description

Authors: David B. Carrington; A.K.M. Monayem Hossain Mazumder; Juan C. Heinrich

Addresses: Los Alamos National Laboratory, Theoretical Division T3, Los Alamos, NM 87545, USA ' Department of Mechanical Engineering, Lamar University, Beaumont, TX 77710, USA ' Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM 87131, USA

Abstract: A three-dimensional finite element method for simulating fluid flow in domains containing moving objects or boundaries is developed. This method is a type of arbitrary-Lagrangian-Eulerian, based on a fixed mesh that is locally fitted at the moving interfaces and recovers its original shape once the moving interfaces go past the elements. The moving interfaces are defined by marker points so that the global mesh is not affected by the interfaces motion, eliminating potential for mesh entanglement. The result is an efficient and robust formulation for multi-physics simulations. The mesh never becomes unsuitable by continuous deformation, thus eliminating the need for repeated re-meshing. The interface boundaries are exactly imposed Dirichlet type. The total domain volume is always calculated exactly thus automatically satisfying the geometric conservation law. This work supports the internal combustion engines simulator KIVA developed at Los Alamos National Laboratories; in this paper, only the interface moving aspect is addressed.

Keywords: arbitrary-Lagrangian-Eulerian finite element method; time dependent domain; fixed mesh formulation; three-dimensional flow simulations.

DOI: 10.1504/PCFD.2016.10001470

Progress in Computational Fluid Dynamics, An International Journal, 2018 Vol.18 No.4, pp.199 - 215

Received: 27 Jan 2016
Accepted: 27 Oct 2016

Published online: 12 Jul 2018 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article