Category Archives: Uncategorized

Position-Based Nonlinear Gauss-Seidel for Quasistatic Hyperelasticity

Yizhou Chen, Yushan Han, Jingyu Chen, Joseph Teran Position based dynamics is a powerful technique for simulating a variety of materials. Its primary strength is its robustness when run with limited computational budget. We develop a novel approach to address … Continue reading →

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A Framework for Solving Parabolic Partial Differential Equations on Discrete Domains

Leticia Mattos Da Silva, Oded Stein, Justin Solomon We introduce a framework for solving a class of parabolic partial differential equations on triangle mesh surfaces, including the Hamilton-Jacobi equation and the Fokker-Planck equation. PDE in this class often have nonlinear … Continue reading →

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A Dual-Particle Approach for Incompressible SPH Fluids

Shusen Liu, Xiaowei He, Yuzhong Guo, Yue Chang, Wencheng Wang Tensile instability is one of the major obstacles to particle methods in fluid simulation, which would cause particles to clump in pairs under tension and prevent fluid simulation to generate … Continue reading →

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An Induce-on-Boundary Magnetostatic Solver for Grid-Based Ferrofluids

Xingyu Ni*, Ruicheng Wang* (joint 1st authors), Bin Wang, Baoquan Chen This paper introduces a novel Induce-on-Boundary (IoB) solver designed to address the magnetostatic governing equations of ferrofluids. The IoB solver is based on a single-layer potential and utilizes only … Continue reading →

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Efficient Debris-flow Simulation for Steep Terrain Erosion

Aryamaan Jain, Bedrich Benes, Guillaume Cordonnier Erosion simulation is a common approach used for generating and authoring mountainous terrains. While water is considered the primary erosion factor, its simulation fails to capture steep slopes near the ridges. In these low-drainage … Continue reading →

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Differentiable Voronoi Diagrams for Simulation of Cell-Based Mechanical Systems

Logan Numerow, Yue Li, Stelian Coros, Bernhard Thomaszewski Navigating topological transitions in cellular mechanical systems is a significant challenge for existing simulation methods. While abstract models lack predictive capabilities at the cellular level, explicit network representations struggle with topology changes, … Continue reading →

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Multi-Material Mesh-Based Surface Tracking with Implicit Topology Changes

Peter Heiss-Synak*, Aleksei Kalinov*, Malina Strugaru, Arian Etemadi, Huidong Yang, Chris Wojtan (*joint first authors) We introduce a multi-material non-manifold mesh-based surface tracking algorithm that converts self-intersections into topological changes. Our algorithm generalizes prior work on manifold surface tracking with … Continue reading →

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Primal-Dual Non-Smooth Friction for Rigid Body Animation

Yi-Lu Chen, Mickaël Ly, Chris Wojtan Current numerical algorithms for simulating friction fall in one of two camps: smooth solvers sacrifice the stable treatment of static friction in exchange for fast convergence, and non-smooth solvers accurately compute friction at convergence … Continue reading →

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Vertex Block Descent

Anka He Chen, Ziheng Liu, Yin Yang, Cem Yuksel We introduce vertex block descent, a block coordinate descent solution for the variational form of implicit Euler through vertex-level Gauss-Seidel iterations. It operates with local vertex position updates that achieve reductions … Continue reading →

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GIPC: Fast and stable Gauss-Newton optimization of IPC barrier energy

Kemeng Huang, Floyd Chitalu, Huancheng Lin, Taku Komura Barrier functions are crucial for maintaining an intersection and inversion free simulation trajectory but existing methods which directly use distance can restrict implementation design and performance. We present an approach to rewriting … Continue reading →

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