Entirely Lagrangian meshfree computational methods for hydroelastic fluid-structure interactions in ocean engineering—Reliability, adaptivity and generality

Abstract

The paper presents a concise review on latest advances related to development of entirely Lagrangian meshfree computational methods for hydroelastic fluid-structure interactions (FSI) in ocean engineering and highlights several corresponding key issues. This review and highlight of key issues are made with respect to three perspectives, namely, i) reliability, ii) adaptivity and iii) generality. In specific, for reliability, we focus on stability, accuracy, proper choice of governing equations and consistent fluid-structure coupling. As for adaptivity, adaptive refinement of fluid/structure subdomains through development of multi-resolution hydroelastic FSI solvers would be considered and related developments of this aspect would be outlined. Regarding generality of FSI solvers corresponding to extension to 3D, arbitrary choice of constitutive equations, and reproduction of FSI comprising composite structures would be reviewed. The considered entirely Lagrangian FSI solvers correspond to projection-based MPS (Moving Particle Semi-implicit) or ISPH (Incompressible Smoothed Particle Hydrodynamics) fluid models coupled with Newtonian or Hamiltonian MPS/SPH structure models. Finally, future perspectives for continued developments of reliable, adaptive and general hydroelastic FSI solvers in the context of Lagrangian meshfree methods would be outlined.