Cartesian grid fluid simulation with irregular boundary voxels

Roble, Doug; Zafar, Nafees Bin; Falt, Henrik

doi:10.1145/1187112.1187279

Cited by 20 publications

(23 citation statements)

References 3 publications

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“…Figure 8 shows the liquid and air velocity samples and face fractions on a cell containing air and liquid, where the tangential velocities of the two fluids are discontinuous. In MultiFLIP, the net flux across each face is computed as a weighted sum of the liquid and air velocities (figure 9), similarly to the scheme used by Roble et al [2005] for solid boundaries. In 2-D, this can be expressed as…”

Section: Particle-derived Level Setmentioning

confidence: 99%

MultiFLIP for energetic two-phase fluid simulation

Boyd

Bridson

2012

ACM Trans. Graph.

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Fig. 1:The "glugging" effect of water pouring through a spout cannot be reproduced with single-phase liquid simulation.Physically-based liquid animations often ignore the influence of air, giving up interesting behaviour. We present a new method which treats both air and liquid as incompressible, more accurately reproducing the reality observed at scales relevant to computer animation. The Fluid Implicit Particle (FLIP) method, already shown to effectively simulate incompressible fluids with low numerical dissipation, is extended to two-phase flow by associating a phase bit with each particle. The liquid surface is reproduced at each time step from the particle positions, which are adjusted to prevent mixing near the surface and to allow for accurate surface tension. The liquid surface is adjusted around small-scale features so they are represented in the grid-based pressure projection, while separate, loosely coupled velocity fields reduce unwanted influence between the phases. The resulting scheme is easy to implement, requires little parameter tuning and is shown to reproduce lively two-phase fluid phenomena.

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Section: Particle-derived Level Setmentioning

confidence: 99%

MultiFLIP for energetic two-phase fluid simulation

Boyd

Bridson

2012

ACM Trans. Graph.

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“…Their use in computer graphics was rst suggested by Roble et al [2005], who proposed a simple modi cation to regular pressure projection that allows for more accurate enforcement of static solid boundary conditions. The variational formulation of Batty et al [2007] similarly treated two-way rigid body interactions by casting the coupled pressure solve in an energy minimization form that accounts for partial cell volumes in three dimensions.…”

Section: Related Workmentioning

confidence: 99%

“…The approach we take is to generalize an increasingly popular family of symmetric positive-de nite cut-cell uid methods [Azevedo et al 2016;Batty et al 2007;Bridson 2015;Gibou and Min 2012;Ng et al 2009;Roble et al 2005;Weber et al 2015] to the case of strongly (or monolithically) coupled two-way interactions with deformable solids, in which solid and uid dynamics are solved simultaneously. To reconcile the Eulerian uid and Lagrangian solid domains, we construct a mutually conforming cut-cell mesh at each frame by clipping the cells of the uid grid against the deformable solid object's geometry.…”

Section: Introductionmentioning

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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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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“…Some methods use accurate normals in an attempt to enforce correct boundary conditions [16], or modify the calculations performed in boundary cells to capture object geometries [17], [18], but they still suffer from artifacts or face difficulties being evaluated robustly [10]. There are also techniques that try to capture fine fluid motion detail only where needed by using octrees [19], [20], simplicial meshes [15], [21]- [23] or moving domain representations [24], [25], and techniques that simulate fluids on 3D surfaces of arbitrary topology [3], [26].…”

Section: Introductionmentioning

confidence: 99%

Fluid Animation on Arbitrarily-Shaped Structured Grids

Barroso

Celes

2011

2011 Brazilian Symposium on Games and Digital Entertainment

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In this paper, we present a fast and straightforward technique to simulate two-dimensional fluid flows on planar structured grids with arbitrary shape and parameterization. Although driven by a regular uniform grid, the resulting flows correctly follow and interact with arbitrary boundary walls and internal obstacles. This is accomplished by using Jacobian matrices to relate field derivatives in the world and parameter spaces, which allows us to solve the reduced Navier-Stokes equations directly in the latter. The technique is demonstrated by using a GPU-based Eulerian Stable Fluid solver to generate real-time animations of flows confined in river-like geometry with arbitrary boundaries.

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Cartesian grid fluid simulation with irregular boundary voxels

Cited by 20 publications

References 3 publications

MultiFLIP for energetic two-phase fluid simulation

MultiFLIP for energetic two-phase fluid simulation

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

Fluid Animation on Arbitrarily-Shaped Structured Grids

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