An immersed smoothed point interpolation method (IS-PIM) for fluid-structure interaction problems

An immersed smoothed point interpolation method using 3-node triangular background cells is proposed to solve 2D fluid-structure interaction problems for solids with large deformation/displacement placed in incompressible viscous fluid. In the framework of immersed-type method, the governing equations can be decomposed into 3 parts on the basis of the fictitious fluid assumption. The incompressible Navier-Stokes equations are solved using the semi-implicit characteristic-based split scheme, and solids are simulated using the newly developed edge-based smoothed point interpolation method. The fictitious fluid domain can be used to calculate the coupling force. The numerical results show that immersed smoothed point interpolation method can avoid remeshing for moving solid based on immersed operation and simulate the contact phenomenon without an additional treatment between the solid and the fluid boundary. The influence from information transfer between solid domain and fluid domain on fluid-structure interaction problems has been investigated. The numerical results show that the proposed interpolation schemes will generally improve the accuracy for simulating both fluid flows and solid structures.