A numerical simulation of fluid-structure interaction problems by a mesh-free method
Keywords:
fluid-structure interaction, mesh-free, SPH, coupling algorithmAbstract
The solving of fluid-structure interaction problems are traditionally based on arbitrary Lagrangian-Eulerian formulations in which moving grids are used. However, for problems with large deformations, moving material interfaces, deformable boundaries and free surfaces these methods can encounter severe difficulties. The mesh-free method is advantageous in this situation. In this paper, we present a mesh-free Smoothed Particle Hydrodynamics type method for the numerical simulation of the fluid flow, which can be easily integrated into a fluid-structure interaction solver. The focus in this work is on the mathematical aspects concerning the construction of the fluid particles and development of the discretized governing equations and on the boundary condition enforcement. Numerical results are presented for a shock tube closed at the left end by an elastically supported piston
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