Coupling lattice Boltzmann and material point method for fluid‐solid interaction problems involving massive deformation

Abstract

This paper presents a coupling lattice Boltzmann and material point method (LBMPM) for fluid‐solid interaction problems involving massive deformation. The convected particle domain interpolation‐based material point method is adopted to solve the structure responses due to the particularly advantage on dynamic massive deformation simulations and the lattice Boltzmann method is utilized for its reliability and simplicity to simulate the complex fluid flow. The coupling strategy for these two methods is based on the consistent conditions with respect to displacement, velocity, and force, respectively, on the interface between fluid and solid parts, including the unified interpolation bounce‐back scheme for curved boundaries, the Galilean invariant momentum exchange method for hydrodynamic forces, the force imposing strategy particularly for massive deformation, and the refilling algorithm for moving boundaries. There is no remeshing operation needed in the proposed LBMPM for both solid and fluid parts even when solid massive deformation and fluid complex flow are considered. Three representative numerical examples are carried out and the simulation results demonstrate that the proposed LBMPM is capable of simulate complex bidirectional fluid‐solid interaction processes with the superiority for the problems involving solid dynamic large deformation behaviors and complex fluid flow.

An efficient solid shell material point method for large deformation of thin structures

“…As a typical representative of mesh‐free methods, the material point method (MPM) 11,12 adopts a set of Lagrangian particles moving through Eulerian background grid to surmount the challenges in simulations of extreme deformation. The MPM has shown its success in simulating various kinds of extreme deformation events during these decades, such as hyper velocity impact, 13‐16 penetration, 17,18 fracture evolution 19‐22 and fluid–structure interaction 23‐26 . And plenty of variants have been proposed to improve the accuracy and stability of MPM 27‐33 .…”

“…The MPM has shown its success in simulating various kinds of extreme deformation events during these decades, such as hyper velocity impact, [13][14][15][16] penetration, 17,18 fracture evolution [19][20][21][22] and fluid-structure interaction. [23][24][25][26] And plenty of variants have been proposed to improve the accuracy and stability of MPM. [27][28][29][30][31][32][33] Bardenhagen et al 27 developed the generalized interpolation material point (GIMP) method by accounting for spatial volume of each particle to reduce the cell crossing noise caused by the discontinuity in the gradient of linear shape function.…”