A unified approach for modeling complex occlusions in fluid simulations

Houston, Ben; Bond, Chris T.; Wiebe, Mark

doi:10.1145/965400.965561

Cited by 24 publications

(19 citation statements)

References 4 publications

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“…Handling of solid boundary conditions, particularly for advection, was subsequently improved by Foster and Fedkiw [2001], Houston et al [2003], and Rasmussen et al [2004]. However, issues can still surface due to the voxelized pressure solve.…”

Section: Related Workmentioning

confidence: 99%

“…Successive advection steps will inevitably query the uid velocity eld outside of the valid region computed during pressure projection; we use a simple constrained velocity extrapolation approach to assign uid grid velocities to these regions [Houston et al 2003;Rasmussen et al 2004]. Due to truncation error, uid particles may still occasionally enter the solid and must be projected back to the solid surface, but the aforementioned modi cation reduces such occurrences.…”

Section: Algorithm Overview and Implementation Detailsmentioning

confidence: 99%

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A positive-definite cut-cell method for strong two-way coupling between fluids and deformable bodies

Zarifi

Batty

2017

Proceedings of the ACM SIGGRAPH / Eurographics Symposium on Computer Animation

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We present a new approach to simulation of two-way coupling between inviscid free surface uids and deformable bodies that exhibits several notable advantages over previous techniques. By fully incorporating the dynamics of the solid into pressure projection, we simultaneously handle uid incompressibility and solid elasticity and damping. Thanks to this strong coupling, our method does not su er from instability, even in very taxing scenarios. Furthermore, use of a cut-cell discretization methodology allows us to accurately apply proper free-slip boundary conditions at the exact solid-uid interface. Consequently, our method is capable of correctly simulating inviscid tangential ow, devoid of grid artefacts or arti cial sticking. Lastly, we present an e cient algebraic transformation to convert the inde nite coupled pressure projection system into a positive-de nite form. We demonstrate the e cacy of our proposed method by simulating several interesting scenarios, including a light bath toy colliding with a collapsing column of water, liquid being dropped onto a deformable platform, and a partially liquid-lled deformable elastic sphere bouncing.

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Section: Related Workmentioning

confidence: 99%

Section: Algorithm Overview and Implementation Detailsmentioning

confidence: 99%

A positive-definite cut-cell method for strong two-way coupling between fluids and deformable bodies

Zarifi

Batty

2017

Proceedings of the ACM SIGGRAPH / Eurographics Symposium on Computer Animation

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“…Foster and Fedkiw [2] used accurate surface normal to impose Neumann boundary conditions on regular grid faces. Later, both Houston [17] and Rasmussen [18] made improvements on this approach. Unfortunately, they all employed a voxelized pressure solver which easily leads to artifacts such as the "stair-up" phenomenon.…”

Section: Handling Irregular and Dynamic Solid Boundariesmentioning

confidence: 99%

Fluid simulation with adaptively sharpening and embedded boundary conditions

Yang

Chen

2011

Vis Comput

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In this paper, we present a physically based technique for simulating inviscid fluids. Our contribution is concerned with two issues. First, for solving the advection equation, we introduce a hybrid scheme that couples the FLIP scheme with the semi-Lagrangian scheme by adaptively distributing implicit particles and using a transition layer to propagate information. Secondly, for solving pressure, we develop a flux based scheme that can embed arbitrary solid boundaries into a Poisson equation. And based on this scheme we make further improvement to achieve two-way fluid/solid coupling on an octree structure with second-order accuracy. Finally, the experimental results demonstrate that our hybrid scheme for advection can preserve relatively fine surface details with less computation expenditure; and simultaneously our robust pressure solver can handle both stationary and moving obstacles more efficiently compared with unstructured meshes.

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“…Work incorporating bubbles, spray and foam can be seen in [HK03] and [TFK * 03]. Additional research into object-liquid interaction has been done in [GHD03] which uses a point massspring object model and in [HBW03] and [WR03] which use level sets to model objects. Previous work in formulating fluid boundary conditions for animation purposes can be found in [FM97a] and [FM97b].…”

Section: Previous Workmentioning

confidence: 99%

“…We use the constrained velocity extrapolation approach of [HBW03]. First, we extrapolate the velocity field nearby the object into the object using φ ob j .…”

Section: Velocitymentioning

confidence: 99%