Multi-resolution MPS for incompressible fluid-elastic structure interactions in ocean engineering

Abstract

The paper presents a multi-resolution MPS (Moving Particle Semi-implicit)-based FSI (Fluid-Structure Interaction) solver for efficient and accurate simulations of incompressible fluid flows interacting with elastic structures. The fluid model is founded on the projection-based MPS solution of continuity and Navier-Stokes equations. The structure model is set based on MPS-based discretization of linear and angular momenta corresponding to an isotropic elastic solid. Fluid-structure coupling is conducted in a mathematically-physically consistent manner along with implementation of a multi-resolution scheme comprising of common radius of influence, revised weight function, revised number density and potential number density concepts to enhance i) consistency of particle-based discretizations, ii) imposition of boundary conditions and iii) volume conservation at fluid-structure interface. A set of previously developed enhanced schemes are also adopted for the fluid model. The robustness and efficiency of proposed Enhanced Multi-resolution MPS-MPS FSI solver are investigated through a set of ocean engineering-related benchmark tests. To the best knowledge of authors, this study presents the first multi-resolution particle method for FSI corresponding to incompressible fluid and elastic structures.