Author Archives: christopherbatty

Unified particle system for multiple-fluid flow and porous material

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 … Continue reading

Posted in Uncategorized | Comments Off on Unified particle system for multiple-fluid flow and porous material

Semi-analytical Solid Boundary Conditions for Free Surface Flows

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. … Continue reading

Posted in Uncategorized | Comments Off on Semi-analytical Solid Boundary Conditions for Free Surface Flows

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

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 … Continue reading

Posted in Uncategorized | Comments Off on A Lagrangian Particle-based Formulation for Coupled Simulation of Fracture and Diffusion in Thin Membranes

FrictionalMonolith: A Monolithic Optimization-based Approach for Granular Flow with Contact-Aware Rigid-Body Coupling

Tetsuya Takahashi, Christopher Batty We propose FrictionalMonolith, a monolithic pressure-friction-contact solver for more accurately, robustly, and efficiently simulating two-way interactions of rigid bodies with continuum granular materials or inviscid liquids. By carefully formulating the components of such systems within a … Continue reading

Posted in Uncategorized | Comments Off on FrictionalMonolith: A Monolithic Optimization-based Approach for Granular Flow with Contact-Aware Rigid-Body Coupling

Spiral-Spectral Fluid Simulation

Qiaodong Cui, Timothy Langlois, Pradeep Sen, and T. Kim We introduce a fast, expressive method for simulating fluids over radial domains, including discs, spheres, cylinders, ellipses, spheroids, and tori. We do this by generalizing the spectral approach of Laplacian Eigenfunctions, … Continue reading

Posted in Uncategorized | Comments Off on Spiral-Spectral Fluid Simulation

I❤️LA: Compilable Markdown for Linear Algebra

Yong Li, Shoaib Kamil, Alec Jacobson, Yotam Gingold Communicating linear algebra in written form is challenging: mathematicians must choose between writing in languages that produce well-formatted but semantically-underdefined representations such as LaTeX; or languages with well-defined semantics but notation unlike … Continue reading

Posted in Uncategorized | Comments Off on I❤️LA: Compilable Markdown for Linear Algebra

Interactive Cutting and Tearing in Projective Dynamics with Progressive Cholesky Updates

Jing Li, Tiantian Liu, Ladislav Kavan, Baoquan Chen We propose a new algorithm for updating a Cholesky factorization which speeds up Projective Dynamics simulations with topological changes. Our approach addresses an important limitation of the original Projective Dynamics, i.e., that … Continue reading

Posted in Uncategorized | Comments Off on Interactive Cutting and Tearing in Projective Dynamics with Progressive Cholesky Updates

A Material Point Method for Nonlinearly Magnetized Materials

Yuchen Sun*, Xingyu Ni*, Bo Zhu, Bin Wang, Baoquan Chen We propose a novel numerical scheme to simulate interactions between a magnetic field and nonlinearly magnetized objects immersed in it. Under our nonlinear magnetization framework, the strength of magnetic forces is effectively saturated to … Continue reading

Posted in Uncategorized | Comments Off on A Material Point Method for Nonlinearly Magnetized Materials

Weatherscapes: Nowcasting Heat Transfer and Water Continuity

J. A. Amador Herrera, T. Hädrich, W. Pałubicki, D. T. Banuti, S. Pirk, D. L. Michels. Due to the complex interplay of various meteorological phenomena, simulating weather is a challenging and open research problem. In this contribution, we propose a … Continue reading

Posted in Uncategorized | Comments Off on Weatherscapes: Nowcasting Heat Transfer and Water Continuity

Predicting High-Resolution Turbulence Details in Space and Time

Kai Bai, Chunhao Wang, Mathieu Desbrun, Xiaopei Liu Predicting the fine and intricate details of a turbulent flow field in both space and time from a coarse input remains a major challenge despite the availability of modern machine learning tools. … Continue reading

Posted in Uncategorized | Comments Off on Predicting High-Resolution Turbulence Details in Space and Time