Coupling of the meshless SPH-ALE method with a finite volume method

This paper presents a novel coupling algorithm for a Smoothed Particle Hydrodynamics-Arbitrary Lagrange Euler (SPH-ALE) and a mesh-based Finite Volume (FV) method where information is transferred in two ways. On the one hand, we use the FV calculation points as SPH neighbors in the regions where the mesh is overlapping the SPH-ALE particles. On the other hand, the boundary conditions for the FV domain are interpolated from the SPH-ALE particles, similar to what is done in the CHIMERA method of overlapping meshes. In contrast to the CHIMERA method, interpolation is not performed on a structured grid but on a set of unstructured points. Hence, an interpolation technique for scattered data is used. The approach is carefully validated by means of well-known academic testcases that show very encouraging results. Our final aim is the simulation of transient flows in hydraulic machines