An Eulerian Approach for Fluid and Elastic Structure Interaction Problems

Abstract

This chapter describes a virtual flux method for simulating fluid-structure interaction problems on a fixed Cartesian mesh. The virtual flux method is one of the sharp interface Cartesian grid methods. The numerical flux across the interface is replaced with the virtual flux so that interface conditions must be satisfied there. For fluid and elastic structure interaction problems, unsteady evolution equations for the Eulerian strain tensor of elastic solid are also solved on the fixed mesh. The fluid-elastic structure interfaces are represented using the level-set function. At first validity of the numerical method is demonstrated for fluid and rigid structure interaction problems of reciprocating engines and compressors. Fluid and elastic particle interaction simulation is also carried out.