Eulerian-Lagrangian Fluid Simulation on Particle Flow Maps

Junwei Zhou, Duowen Chen, Molin Deng, Yitong Deng, Yuchen Sun, Sinan Wang, Shiying Xiong, Bo Zhu We propose a novel Particle Flow Map (PFM) method to enable accurate long-range advection for incompressible fluid simulation. The foundation of our method is the observation that a particle trajectory generated in a forward simulation naturally embodies a perfect […]

Contact detection between curved fibres: high order makes a difference

Octave Crespel , Emile Hohnadel, Thibaut Métivet, Florence Bertails-Descoubes Computer Graphics has a long history in the design of effective algorithms for handling contact and friction between solid objects. For the sake of simplicity, most methods rely on low-order primitives such as line segments or triangles, both for the detection and the response stages. In […]

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 problems with PBD for quasistatic hyperelastic materials. Even though PBD is based on the projection […]

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 or stiff terms that cannot be resolved with standard methods on curved triangle meshes. To […]

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 small-scale thin features. To address this issue, previous particle methods either use a background pressure […]

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 the surface point cloud of the object, offering a lightweight, fast, and accurate solution for […]

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 areas, erosion is often approximated with slope-reducing erosion, which yields unrealistically uniform slopes. However, geomorphology […]

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, and per-cell representations are computationally too demanding for large-scale simulations. To address these challenges, we […]

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 topological changes: it preserves surface features like mesh-based methods, and it robustly handles topological changes […]

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 rates that are often prohibitive for large graphics applications. We introduce a novel bridge between […]