Month: December 2021

Bo Ren, Ben Xu, Chenfeng Li

Porous materials are common in daily life. They include granular material (e.g. sand) that behaves like liquid flow when mixed with fluid and foam material (e.g. sponge) that deforms like solid when interacting with liquid. The underlying physics is further complicated when multiple fluids interact with porous materials involving coupling between rigid and fluid bodies, which may follow different physics models such as the Darcy’s law and the multiple-fluid Navier-Stokes equations. We propose a unified particle framework for the simulation of multiple-fluid flows and porous materials. A novel virtual phase concept is introduced to avoid explicit particle state tracking and runtime particle deletion/insertion. Our unified model is flexible and stable to cope with multiple fluid interacting with porous materials, and it can ensure consistent mass and momentum transport over the whole simulation space.

Unified particle system for multiple-fluid flow and porous material

Yue Chang, Shusen Liu, Xiaowei He, Sheng Li, Guoping Wang

The treatment of solid boundary conditions remains one of the most challenging parts in the SPH method. We present a semi-analytical approach to handle complex solid boundaries of arbitrary shape. Instead of calculating a renormalizing factor for the particle near the boundary, we propose to calculate the volume integral inside the solid boundary under the local spherical frame of a particle. By converting the volume integral into a surface integral, a computer aided design (CAD) mesh file representing the boundary can be naturally integrated for particle simulations. To accelerate the search for a particle’s neighboring triangles, a uniform grid is applied to store indices of intersecting triangles. The new semi-analytical solid boundary handling approach is integrated into a position-based method [MM13] as well as a projection-based [HWW∗20] to demonstrate its effectiveness in handling complex boundaries. Experiments show that our method is able to achieve comparable results with those simulated using ghost particles. In addition, since our method requires no boundary particles for deforming surfaces, our method is flexible enough to handle complex solid boundaries, including sharp corners and shells.

Semi-analytical Solid Boundary Conditions for Free Surface Flows

Chengguizi Han*, Tao Xue*, Mridul Aanjaneya

We propose a Lagrangian particle-based formulation for simulating deformation, fracture, and diffusion in thin membrane-like structures, such as aluminium foil, rubbery films, and seaweed flakes. We integrate our model with diffusion processes and derive a unified framework for simulating deformation-diffusion coupled phenomena, which is applied to provide realistic heterogeneity induced by the diffusion process to fracture patterns. To the best of our knowledge, our work is the first to simulate the complex fracture patterns of single-layered membranes in computer graphics and introduce heterogeneity induced by the diffusion process, which generates more geometrically rich fracture patterns. Our end-to-end 3D simulations show that our deformation-diffusion coupling framework captures detailed fracture growth patterns in thin membranes due to both in-plane and out-of-plane motions, producing realistically wrinkled slit edges, and heterogeneity introduced due to diffusion.

A Lagrangian Particle-based Formulation for Coupled Simulation of Fracture and Diffusion in Thin Membranes