Energy stability and fracture for frame rate rigid body simulations

Su, Jonathan; Schroeder, Craig; Fedkiw, Ronald

doi:10.1145/1599470.1599491

Cited by 46 publications

(21 citation statements)

References 35 publications

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“…This is similar to the energy correction in [32], where angular momentum is conserved but a new rigid body orientation is obtained that conserves energy. Through various tests, we found the best results are produced when damping forces are used in the cases where energy needs to be taken out of the mesh (something damping forces are known to be good for) and elastic forces are used in the cases where energy needs to be put back into the mesh.…”

Section: Momentum Conserving Correction Forcessupporting

confidence: 54%

Energy Conservation for the Simulation of Deformable Bodies

Sheth

Fedkiw

2013

IEEE Trans. Visual. Comput. Graphics

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Abstract-We propose a novel technique that allows one to conserve energy using the time integration scheme of one's choice. Traditionally, the time integration methods that deal with energy conservation, such as symplectic, geometric, and variational integrators, have aimed to include damping in a manner independent of the size of the time step, stating that this gives more control over the look and feel of the simulation. Generally speaking, damping adds to the overall aesthetics and appeal of a numerical simulation, especially since it damps out the high frequency oscillations that occur on the level of the discretization mesh. We propose an alternative technique that allows one to use damping as a material parameter to obtain the desired look and feel of a numerical simulation, while still exactly conserving the total energy -in stark contrast to previous methods in which adding damping effects necessarily removes energy from the mesh. This allows, for example, a deformable bouncing ball with aesthetically pleasing damping (and even undergoing collision) to collide with the ground and return to its original height exactly conserving energy, as shown in Figure 2. Furthermore, since our method works with any time integration scheme, the user can choose their favorite time integration method with regards to aesthetics and simply apply our method as a post-process to conserve all or as much of the energy as desired.

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Section: Momentum Conserving Correction Forcessupporting

confidence: 54%

Energy Conservation for the Simulation of Deformable Bodies

Sheth

Fedkiw

2013

IEEE Trans. Visual. Comput. Graphics

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“…Areas that would be highly interesting, but which we have currently not taken into account are deformable objects [Terzopoulos et al 1987;Martin et al 2011] and fracture [Müller et al 2001;Su et al 2009]. In the following, we assume that the observed objects do not deform or change topology.…”

Section: Related Workmentioning

confidence: 99%

Smash

2016

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Figure 1: Starting from an input video of a collision sequence behind a curtain (top), SMASH reconstructs an accurate physically valid collision (bottom) using laws of rigid body physics for regularization. Note the reconstructed spin (i.e., angular velocity) of the objects. AbstractCollision sequences are commonly used in games and entertainment to add drama and excitement. Authoring even two body collisions in the real world can be difficult, as one has to get timing and the object trajectories to be correctly synchronized. After tedious trial-and-error iterations, when objects can actually be made to collide, then they are difficult to capture in 3D. In contrast, synthetically generating plausible collisions is difficult as it requires adjusting different collision parameters (e.g., object mass ratio, coefficient of restitution, etc.) and appropriate initial parameters. We present SMASH to directly read off appropriate collision parameters directly from raw input video recordings. Technically we enable this by utilizing laws of rigid body collision to regularize the problem of lifting 2D trajectories to a physically valid 3D reconstruction of the collision. The reconstructed sequences can then be modified and combined to easily author novel and plausible collisions. We evaluate our system on a range of synthetic scenes and demonstrate the effectiveness of our method by accurately reconstructing several complex real world collision events.

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“…Purely geometric methods such as [Su et al 2009;Müller et al 2013] are popular in computer graphics, since they are typically much faster than any simulation. Fractures are either pre-defined during modeling or generated by applying a pre-defined fracture pattern and then updating the topology of the object.…”

Section: Related Workmentioning

confidence: 99%

High-resolution brittle fracture simulation with boundary elements

Hahn

Wojtan

2015

ACM Trans. Graph.

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We present a method for simulating brittle fracture under the assumptions of quasi-static linear elastic fracture mechanics (LEFM).Using the boundary element method (BEM) and Lagrangian crackfronts, we produce highly detailed fracture surfaces. The computational cost of the BEM is alleviated by using a low-resolution mesh and interpolating the resulting stress intensity factors when propagating the high-resolution crack-front.Our system produces physics-based fracture surfaces with high spatial and temporal resolution, taking spatial variation of material toughness and/or strength into account. It also allows for crack initiation to be handled separately from crack propagation, which is not only more reasonable from a physics perspective, but can also be used to control the simulation.Separating the resolution of the crack-front from the resolution of the computational mesh increases the efficiency and therefore the amount of visual detail on the resulting fracture surfaces. The BEM also allows us to re-use previously computed blocks of the system matrix.

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Energy stability and fracture for frame rate rigid body simulations

Cited by 46 publications

References 35 publications

Energy Conservation for the Simulation of Deformable Bodies

Energy Conservation for the Simulation of Deformable Bodies

Smash

High-resolution brittle fracture simulation with boundary elements

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