Fully Eulerian solid-fluid interaction analysis using hierarchical Cartesian mesh method for large-scale parallel computing

Abstract

In this paper, we propose a full Eulerian solid-fluid interaction analysis method using the building cube method, which is capable of achieving high parallel efficiency and generating meshes easily for complex geometry with local mesh refinement. Basic equations of solid and fluid are spatially averaged using volume fractions of each material on the assumption that both solid and fluid are incompressible. The averaged equations are solved using a fractional step method, where the equations are discretized in space using a collocated finite volume method. The VOF method is applied to capture material interfaces and the advection equation of VOF function is computed with the fifth-order WENO scheme. To validate the present approach, we simulate fluid-structure interaction problems, e.g. a deformable disk in a lid-driven cavity, deformation of Stanford bunny in fluid.