Differentiable Voronoi Diagrams for Simulation of Cell-Based Mechanical Systems
Physics-Based Animation
by christopherbatty
1d ago
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, and per-cell representations are computationally too demanding for large-scale simulations. To address these challenges, we propose a novel cell-centered approach based on differentiable Voronoi diagrams. Representing each cell with a Voronoi site, our method defines shape a ..read more
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A Framework for Solving Parabolic Partial Differential Equations on Discrete Domains
Physics-Based Animation
by christopherbatty
1d ago
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 or stiff terms that cannot be resolved with standard methods on curved triangle meshes. To address this challenge, we leverage a splitting integrator combined with a convex optimization step to solve these PDE. Our machinery can be used to compute entropic approximation of optimal transport distances on geometric domains ..read more
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A Dual-Particle Approach for Incompressible SPH Fluids
Physics-Based Animation
by christopherbatty
1d ago
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 small-scale thin features. To address this issue, previous particle methods either use a background pressure or a finite difference scheme to alleviate the particle clustering artifacts, yet still fail to produce small-scale thin features in free-surface flows. In this paper, we propose a dual-particle approach for simulating incompressible flu ..read more
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An Induce-on-Boundary Magnetostatic Solver for Grid-Based Ferrofluids
Physics-Based Animation
by christopherbatty
1d ago
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 the surface point cloud of the object, offering a lightweight, fast, and accurate solution for calculating magnetic fields. Compared to existing methods, it eliminates the need for complex linear system solvers and maintains minimal computational complexities. Moreover, it can be seamlessly integrated into conventional fl ..read more
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Efficient Debris-flow Simulation for Steep Terrain Erosion
Physics-Based Animation
by christopherbatty
1d ago
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 areas, erosion is often approximated with slope-reducing erosion, which yields unrealistically uniform slopes. However, geomorphology observed that another process dominates the low-drainage areas: erosion by debris flow, which is a mixture of mud and rocks triggered by strong climatic events. We propose a new met ..read more
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Multi-Material Mesh-Based Surface Tracking with Implicit Topology Changes
Physics-Based Animation
by christopherbatty
1w ago
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 topological changes: it preserves surface features like mesh-based methods, and it robustly handles topological changes like level set methods. Our method also offers improved efficiency and robustness over the state of the art. We demonstrate the effectiveness of the ..read more
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Vertex Block Descent
Physics-Based Animation
by christopherbatty
1w ago
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 in global variational energy with maximized parallelism. This forms a physics solver that can achieve numerical convergence with unconditional stability and exceptional computation performance. It can also fit in a given computation budget by simply limiting the iteration count while maintaining its stability and superio ..read more
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GIPC: Fast and stable Gauss-Newton optimization of IPC barrier energy
Physics-Based Animation
by christopherbatty
1w ago
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 the barrier function for arriving at an efficient and robust approximation of its Hessian. The key idea is to formulate a simplicial geometric measure of contact using mesh boundary elements, from which analytic eigensystems are derived and enhanced with filtering and stiffening terms that ensure robust ..read more
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Scintilla: Simulating Combustible Vegetation for Wildfires
Physics-Based Animation
by christopherbatty
1w ago
Andrzej Kokosza, Helge Wrede, Daniel Gonzalez Esparza, Milosz Makowski, Daoming Liu, Dominik L. Michels, Sören Pirk, Wojtek Pałubicki Wildfires are a complex physical phenomenon that involves the combustion of a variety of flammable materials ranging from fallen leaves and dried twigs to decomposing organic material and living flora. All these materials can potentially act as fuel with different properties that determine the progress and severity of a wildfire. In this paper, we propose a novel approach for simulating the dynamic interaction between the varying components of a wildfire, includ ..read more
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Cyclogenesis: Simulating Hurricanes and Tornadoes
Physics-Based Animation
by christopherbatty
1w ago
J. A. Amador Herrera, J. Klein, D. Liu, W. Pałubicki, S. Pirk, D. L. Michels Cyclones are large-scale phenomena that result from complex heat and water transfer processes in the atmosphere, as well as from the interaction of multiple hydrometeors, i.e., water and ice particles. When cyclones make landfall, they are considered natural disasters and spawn dread and awe alike. We propose a physically-based approach to describe the 3D development of cyclones in a visually convincing and physically plausible manner. Our approach allows us to capture large-scale heat and water continuity, turbulent ..read more
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