Stable and Fast Fluid–Solid Coupling for Incompressible SPH

Abstract

The solid boundary handling has been a research focus in physically based fluid animation. In this paper, we propose a novel stable and fast particle method to couple predictive–corrective incompressible smoothed particle hydrodynamics and geometric lattice shape matching (LSM), which animates the visually realistic interaction of fluids and deformable solids allowing larger time steps or velocity differences. By combining the boundary particles sampled from solids with a momentum‐conserving velocity‐position correction scheme, our approach can alleviate the particle deficiency issues and prevent the penetration artefacts at the fluid–solid interfaces simultaneously. We further simulate the stable deformation and melting of solid objects coupled to smoothed particle hydrodynamics fluids based on a highly extended LSM model. In order to improve the time performance of each time step, we entirely implement the unified particle framework on GPUs using compute unified device architecture. The advantages of our two‐way fluid–solid coupling method in computer animation are demonstrated via several virtual scenarios.

Migration of Gas in Water Saturated Clays by Coupled Hydraulic-Mechanical Model

“…Both methods are second-order integration schemes. For numerical stability the time step Δ must obey the Courant-Friedrich-Levy condition [35] Δ ≤ 0.25 ℎ k max (50) and particle acceleration related condition…”

“…Interaction of the fluid phase described by SPH with solid objects can be obtained in various ways. Boundary forces taking into account viscous stress and fluid pressure are described in [49,50]; coupling of SPH fluid with rigid solid bodies can be found in [27], while coupling with deformable solids is considered in [51]; coupled models where both the fluid and elastic solid are described in terms of SPH can be found in [28][29][30]. SPH particles belonging to two different phases or two different objects of the same phase are considered as boundary particles if the distance between them is smaller than smoothing length ℎ. Interaction between these particles is defined by the boundary conditions described in Section 2.3.…”

A unified particle system framework for multi-phase, multi-material visual simulations

“…Akinci et al [2012] proposed a versatile SPH-based approach for two-way fluid-solid coupling using per-particle volume correction. More recently, Shao et al [2015] combined PCISPH and geometric lattice shape matching to achieve two-way fluid-solid coupling with large time steps.…”

Multiphase SPH simulation for interactive fluids and solids

“…Akinci et al [2012] proposed a novel method for coupling fluids with rigid bodies which used boundary particle volume correction and friction forces; they later extended it to resolve the coupling between fluid and elastic solid [Akinci et al 2013]. Shao et al [2015] combined lattice shape matching method and PCISPH to model coupling between fluids and solids.…”