Mesh Rezoning Technique for Fluid-Structure Interaction Problem

Abstract

The Space-Time Galerkin method provides a framework for solving fluid-structure interaction problems #(FSI). These formulations allow us to use different fluid meshes for each time-slab. The space-time elements can be oriented in time, thus accommodating spatial deformation. The mesh generator between time slabs and adaptive mesh rezoning techniques within each time-slab play important roles in FSI problems. We have developed an adaptive mesh rezoning technique with the least-square constrained conditions, which prevents the element located close to the moving boundary from breakdown trouble and maintains its well-conditioned shape. The technique is entirely general in that it can be effectively applied to structured and unstructured meshes.