Eulerian solid simulation with contact

Levin, David; Litven, Joshua; Jones, Garrett L.; Sueda, Shinjiro; Pai, Dinesh K.

doi:10.1145/1964921.1964931

Cited by 6 publications

(3 citation statements)

References 36 publications

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“…Although elastic solids can be modeled with an Eulerian formulation [Goktekin et al 2004;Levin et al 2011], typically they are modeled with Lagrangian formulations [Gourret et al 1989;Chen and Zeltzer 1992;Bro-Nielsen and Cotin 1996;Zhu et al 1998;O'Brien and Hodgins 1999]. Linear corotated tetrahedral finite elements [Belytschko and Glaum 1979;Nour-Omid and Rankin 1991;Müller et al 2002;Etzmuss et al 2003;Irving et al 2004;Parker and O'Brien 2009] have been used widely in computer graphics, and we use them in this work with extensions to enforce incompressibility where needed ].…”

Section: Related Workmentioning

confidence: 99%

Simulating liquids and solid-liquid interactions with lagrangian meshes

et al. 2013

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This paper describes a Lagrangian finite element method that simulates the behavior of liquids and solids in a unified framework. Local mesh improvement operations maintain a high-quality tetrahedral discretization even as the mesh is advected by fluid flow. We conserve volume and momentum, locally and globally, by assigning each element an independent rest volume and adjusting it to correct for deviations during remeshing and collisions. Incompressibility is enforced with per-node pressure values, and extra degrees of freedom are selectively inserted to prevent pressure locking. Topological changes in the domain are explicitly treated with local mesh splitting and merging. Our method models surface tension with an implicit formulation based on surface energies computed on the boundary of the volume mesh.With this method we can model elastic, plastic, and liquid materials in a single mesh, with no need for explicit coupling. We also model heat diffusion and thermoelastic effects, which allow us to simulate phase changes. We demonstrate these capabilities in several fluid simulations at scales from millimeters to meters, including simulations of melting caused by external or thermoelastic heating.

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Section: Related Workmentioning

confidence: 99%

Simulating liquids and solid-liquid interactions with lagrangian meshes

et al. 2013

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“…In the spirit of [Levin et al 2011], we first perform a Schur complement decomposition of the linear system in order to separate the dense and sparse blocks. We do this by performing a Block-Gausselimination of Equation (4), and thus solving the following equations in sequence (Hpp − HpnH −1 nn Hnp)∆p = ∂pH − HpnH −1 nn ∂nH Hnn∆n = ∂nH − Hnp∆p.…”

Section: Schur Complement Solvermentioning

confidence: 99%

Rig-space physics

et al. 2012

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Figure 1: A result of our method: given a character rig and a set of keyframes for some of its parameters, our method automatically produces animation curves for the remaining parameters by solving the equations of motion in the space of deformations defined by the rig. The resulting motion is physically plausible, maintains the original artistic intent, and is easily editable. AbstractWe present a method that brings the benefits of physics-based simulations to traditional animation pipelines. We formulate the equations of motions in the subspace of deformations defined by an animator's rig. Our framework fits seamlessly into the workflow typically employed by artists, as our output consists of animation curves that are identical in nature to the result of manual keyframing. Artists can therefore explore the full spectrum between handcrafted animation and unrestricted physical simulation. To enhance the artist's control, we provide a method that transforms stiffness values defined on rig parameters to a non-homogeneous distribution of material parameters for the underlying FEM model. In addition, we use automatically extracted high-level rig parameters to intuitively edit the results of our simulations, and also to speed up computation. To demonstrate the effectiveness of our method, we create compelling results by adding rich physical motions to coarse input animations. In the absence of artist input, we create realistic passive motion directly in rig space.

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“…Euler method is usually used to simulate the large deformation, such as the water simulation. Levin [4] resolved the frictionless interaction among multiple deformable objects with the Eulerian simulator. Miller [5] used the total Lagrangian FEM to simulate the soft tissue deformation.…”

Section: Related Workmentioning

confidence: 99%

A GPU-accelerated finite element solver for simulation of soft-body deformation

Guo

Liu

et al. 2013

2013 IEEE International Conference on Information and Automation (ICIA)

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A nonlinear physical simulation is presented involving the soft body deformation and interaction contacts. We demonstrate the finite element method relying on Lagrangian discretization to simulate the deformation of the soft body with hyperelastic material properties. To perform a stable simulation, we use the constrained Delaunay Tetrahedralization to resampling and remeshing the object. A new contact strategy is developed and used to replace the collision detection. This method does not need to iteratively achieve the optimal contact response on the constrained boundary. It can dynamically determine whether the contact status of the point should be in a static or a sliding friction mode. The explicit method for the finite element model is employed in order to perform all the steps of the algorithm on the GPUs and achieve a real-time simulation.

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Eulerian solid simulation with contact

Cited by 6 publications

References 36 publications

Simulating liquids and solid-liquid interactions with lagrangian meshes

Simulating liquids and solid-liquid interactions with lagrangian meshes

Rig-space physics

A GPU-accelerated finite element solver for simulation of soft-body deformation

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