A momentum-conserving implicit material point method for surface tension with contact angles and spatial gradients

Chen, Jingyu; Kala, Victoria; Marquez-Razon, Alan; Gueidon, Elias; Hyde, David; Teran, Joseph

doi:10.1145/3476576.3476676

Cited by 4 publications

(2 citation statements)

References 75 publications

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“…MPM was first introduced into computer graphics by Stomakhin et al 9 to simulate snow. Due to its excellent physical accuracy and natural support for topology changes, MPM has been extensively applied to simulate various phenomena including sand, 21 lava, 22 viscoelastic/viscoplastic foam, 23,24 cloth, 25 fracture, 10,11,26 magnetized material, 27 multi‐species coupling, 3,4,28 even hydrophobicity and hydrophilicity 29 . In order to address the significant numerical dissipation in MPM, affine particle‐in‐cell (APIC) 30 incorporated a local velocity gradient to preserve the momentum of particles, and Fei et al 31 further improved it with several advection strategies.…”

Section: Related Workmentioning

confidence: 99%

MPM‐driven dynamic desiccation cracking and curling in unsaturated soils

Tu,

Peng,

et al. 2023

Computer Animation & Virtual

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Desiccation cracking of soil‐like materials is a common phenomenon in natural dry environment, however, it remains a challenge to model and simulate complicated multi‐physical processes inside the porous structure. With the goal of tracking such physical evolution accurately, we propose an MPM based method to simulate volumetric shrinkage and crack during moisture diffusion. At the physical level, we introduce Richards equations to evolve the dynamic moisture field to model evaporation and diffusion in unsaturated soils, with which a elastoplastic model is established to simulate strength changes and volumetric shrinkage via a novel saturation‐based hardening strategy during plastic treatment. At the algorithmic level, we develop an MPM‐fashion numerical solver for the proposed physical model and achieve stable yet efficient simulation towards delicate deformation and fracture. At the geometric level, we propose a correlating stretching criteria and a saturation‐aware extrapolation scheme to extend existing surface reconstruction for MPM, producing visual compelling soil appearance. Finally, we manifest realistic simulation results based on the proposed method with several challenging scenarios, which demonstrates usability and efficiency of our method.

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Section: Related Workmentioning

confidence: 99%

MPM‐driven dynamic desiccation cracking and curling in unsaturated soils

Tu,

Peng,

et al. 2023

Computer Animation & Virtual

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“…An excellent introduction to MPM for computer graphics can be found in a course note [JST*16]. More recent works include multi‐GPU MPM [WQS*20], anisotropic damage [WCL*20], arbitrary updated Lagrangian MPM [SXHA21], second order accurate in time MPM [SXH*21], integration scheme to reduce dissipation [FGW*21] and momentum conserving MPM [CKMR*21] to name a few.…”

Section: Related Workmentioning

confidence: 99%

Learning Physics with a Hierarchical Graph Network

Chentanez

Jeschke²,

Müller³

et al. 2022

Computer Graphics Forum

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We propose a hierarchical graph for learning physics and a novel way to handle obstacles. The finest level of the graph consist of the particles itself. Coarser levels consist of the cells of sparse grids with successively doubling cell sizes covering the volume occupied by the particles. The hierarchical structure allows for the information to propagate at great distance in a single message passing iteration. The novel obstacle handling allows the simulation to be obstacle aware without the need for ghost particles. We train the network to predict effective acceleration produced by multiple sub‐steps of 3D multi‐material material point method (MPM) simulation consisting of water, sand and snow with complex obstacles. Our network produces lower error, trains up to 7.0X faster and inferences up to 11.3X faster than [SGGP*20]. It is also, on average, about 3.7X faster compared to Taichi Elements simulation running on the same hardware in our tests.

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Physics-based fluid simulation in computer graphics: Survey, research trends, and challenges

Wang,

Xu,

Liu

et al. 2024

Comp. Visual Media

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Physics-based fluid simulation has played an increasingly important role in the computer graphics community. Recent methods in this area have greatly improved the generation of complex visual effects and its computational efficiency. Novel techniques have emerged to deal with complex boundaries, multiphase fluids, gas–liquid interfaces, and fine details. The parallel use of machine learning, image processing, and fluid control technologies has brought many interesting and novel research perspectives. In this survey, we provide an introduction to theoretical concepts underpinning physics-based fluid simulation and their practical implementation, with the aim for it to serve as a guide for both newcomers and seasoned researchers to explore the field of physics-based fluid simulation, with a focus on developments in the last decade. Driven by the distribution of recent publications in the field, we structure our survey to cover physical background; discretization approaches; computational methods that address scalability; fluid interactions with other materials and interfaces; and methods for expressive aspects of surface detail and control. From a practical perspective, we give an overview of existing implementations available for the above methods.

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A momentum-conserving implicit material point method for surface tension with contact angles and spatial gradients

Cited by 4 publications

References 75 publications

MPM‐driven dynamic desiccation cracking and curling in unsaturated soils

MPM‐driven dynamic desiccation cracking and curling in unsaturated soils

Learning Physics with a Hierarchical Graph Network

Physics-based fluid simulation in computer graphics: Survey, research trends, and challenges

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