Physically-based Book Simulation with Freeform Developable Surfaces

Thomas Wolf, Victor Cornillere, Olga Sorkine-Hornung Reading books or articles digitally has become accessible and widespread thanks to the large amount of affordable mobile devices and distribution platforms. However, little effort has been devoted to improving the digital book reading experience,despite studies showing disadvantages of digital text media consumption, such as diminished memory recall and […]

Incompressible flow simulation on vortex segment clouds

Shiying Xiong, Rui Tao, Yaorui Zhang, Fan Feng, Bo Zhu We propose a novel Lagrangian geometric representation using segment clouds to simulate incompressible fluid exhibiting strong anisotropic vortical features. The central component of our approach is a cloud of discrete segments enhanced by a set of local segment reseeding operations to facilitate both the geometrical […]

Clebsch Gauge Fluid

Shuqi Yang, Shiying Xiong, Yaorui Zhang, Fan Feng, Jinyuan Liu, Bo Zhu We propose a novel gauge fluid solver based on Clebsch wave functions to solve incompressible fluid equations. Our method combines the expressive power of Clebsch wave functions to represent coherent vortical structures and the generality of gauge methods to accommodate a broad array […]

Optimized Refinement for Spatially Adaptive SPH

Rene Winchenbach, Andreas Kolb In this paper we propose an improved refinement process for the simulation of incompressible low-viscosity turbulent flows using Smoothed Particle Hydrodynamics, under adaptive volume ratios of up to 1 : 1,000,000. We derive a discretized objective function, which allows us to generate ideal refinement patterns for any kernel function and any […]

SANM: A Symbolic Asymptotic Numerical Solver with Applications in Mesh Deformation

Kai Jia Solving nonlinear systems is an important problem. Numerical continuation methods efficiently solve certain nonlinear systems. The Asymptotic Numerical Method (ANM) is a powerful continuation method that usually converges faster than Newtonian methods. ANM explores the landscape of the function by following a parameterized solution curve approximated with a high-order power series. Although ANM […]

Thin-Film Smoothed Particle Hydrodynamics Fluid

Mengdi Wang, Yitong Deng, Xiangxin Kong, Aditya H. Prasad, Shiying Xiong, Bo Zhu We propose a particle-based method to simulate thin-film fluid that jointly facilitates aggressive surface deformation and vigorous tangential flows. We build our dynamics model from the surface tension driven Navier-Stokes equation with the dimensionality reduced using the asymptotic lubrication theory and customize […]

Solid-Fluid Interaction with Surface-Tension-Dominant Contact

Liangwang Ruan, Jinyuan Liu, Bo Zhu, Shinjiro Sueda, Bin Wang, Baoquan Chen We propose a novel three-way coupling method to model the contact interaction between solid and fluid driven by strong surface tension. At the heart of our physical model is a thin liquid membrane that simultaneously couples to both the liquid volume and the […]

A Momentum-Conserving Implicit Material Point Method for Surface Tension with Contact Angles and Spatial Gradients

Jingyu Chen, Victoria Kala, Ala Marquez-Razon, Elias Gueidon, David A. B. Hyde, Joseph Teran We present a novel Material Point Method (MPM) discretization of surface tension forces that arise from spatially varying surface energies. These variations typically arise from surface energy dependence on temperature and/or concentration. Furthermore, since the surface energy is an interfacial property […]

Multiscale Cholesky Preconditioning for Ill-conditioned Problems

Jiong Chen, Florian Schäfer, Jin Huang, Mathieu Desbrun Many computer graphics applications boil down to solving sparse systems of linear equations. While the current arsenal of numerical solvers available in various specialized libraries and for different computer architectures often allow efficient and scalable solutions to image processing, modeling and simulation applications, an increasing number of […]

High-order Differentiable Autoencoder for Nonlinear Model Reduction

Siyuan Shen, Yang Yin, Tianjia Shao, He Wang, Chenfanfu Jiang, Lei Lan, Kun Zhou This paper provides a new avenue for exploiting deep neural networks to improve physics-based simulation. Specifically, we integrate the classic Lagrangian mechanics with a deep autoencoder to accelerate elastic simulation of deformable solids. Due to the inertia effect, the dynamic equilibrium […]