Impact of a vortex ring on a density interface using a regularized inviscid vortex sheet method

Stock, Mark J.; Dahm, Werner J. A.; Tryggvason, Grétar

doi:10.1016/j.jcp.2008.05.022

Cited by 38 publications

(23 citation statements)

References 67 publications

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“…Like vorticity formulations, they are not widely used for simulating liquids. Attempts have been made to push the density difference of multi-phase simulations using vortex-in-cell methods [Brecht and Ferrante 1989;Stock et al 2008], where stream functions are also used for a conversion of vorticity to velocity. Many papers focused on two-dimensional stream function formulations, e.g., for lid-driven cavity studies [Barragy and Carey 1997].…”

Section: Related Workmentioning

confidence: 99%

A stream function solver for liquid simulations

2015

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This paper presents a liquid simulation technique that enforces the incompressibility condition using a stream function solve instead of a pressure projection. Previous methods have used stream function techniques for the simulation of detailed single-phase flows, but a formulation for liquid simulation has proved elusive in part due to the free surface boundary conditions. In this paper, we introduce a stream function approach to liquid simulations with novel boundary conditions for free surfaces, solid obstacles, and solidfluid coupling.Although our approach increases the dimension of the linear system necessary to enforce incompressibility, it provides interesting and surprising benefits. First, the resulting flow is guaranteed to be divergence-free regardless of the accuracy of the solve. Second, our free-surface boundary conditions guarantee divergence-free motion even in the un-simulated air phase, which enables two-phase flow simulation by only computing a single phase. We implemented this method using a variant of FLIP simulation which only samples particles within a narrow band of the liquid surface, and we illustrate the effectiveness of our method for detailed two-phase flow simulations with complex boundaries, detailed bubble interactions, and two-way solid-fluid coupling.

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Section: Related Workmentioning

confidence: 99%

A stream function solver for liquid simulations

2015

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“…We follow Pfaff et al [Pfaff et al 2012] to compute a regularized Biot-Savart kernel with a diameter of four fluid simulation grid cells, and we store the resulting velocities on the mesh vertices. We also store and transport angular velocities by converting them to circulations on triangle faces, in the way of Stock et al [2008]. We advect the mesh through the low-resolution velocity field of the fluid simulation with a fourth order Runge-Kutta method, and we advect the mesh through the high-resolution mesh velocity field using an Euler method.…”

Section: Mesh Surface Trackermentioning

confidence: 99%

Liquid surface tracking with error compensation

Bojsen-Hansen

Wojtan

2013

ACM Trans. Graph.

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We propose a smoothing technique (c) that preserves sharp details while selectively removing surface tracking artifacts, and a force generation method (d) that removes visual artifacts with strategically placed surface waves. Our algorithms are general and apply to both level sets as well as mesh-based surface tracking techniques. AbstractOur work concerns the combination of an Eulerian liquid simulation with a high-resolution surface tracker (e.g. the level set method or a Lagrangian triangle mesh). The naive application of a high-resolution surface tracker to a low-resolution velocity field can produce many visually disturbing physical and topological artifacts that limit their use in practice. We address these problems by defining an error function which compares the current state of the surface tracker to the set of physically valid surface states. By reducing this error with a gradient descent technique, we introduce a novel physics-based surface fairing method. Similarly, by treating this error function as a potential energy, we derive a new surface correction force that mimics the vortex sheet equations. We demonstrate our results with both level set and mesh-based surface trackers.

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“…While a large part of these works focus on the more traditional vortex particle representation, as introduced by Rosenhead [1931], and filament methods [Leonard 1980], vortex sheet methods have become increasingly popular in recent years. Vortex sheet methods operating on connected triangles or quad representations similar to our approach include [Brady et al 1998], [Stock et al 2008] and [Lozano et al 1998], to mention a few examples from the growing body of work. Similarly, baroclinic generation has been studied for engineering applications in [Meng 1978] and [Tryggvason and Aref 1983].…”

Section: Related Workmentioning

confidence: 99%

“…Our work is inspired by mesh-based vortex sheet methods from CFD, but differs in several important aspects. While methods such as [Stock et al 2008] are highly suitable to accurately capturing small-scale phenomena, they focus on the ideal case of pure buoyancy driven flows and cannot handle scenes with static walls or moving obstacles, such as Fig. 9 or Fig.…”

Section: Related Workmentioning

confidence: 99%

Lagrangian vortex sheets for animating fluids

Pfaff

Thuerey²,

Groß

2012

ACM Trans. Graph.

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Figure 1: A dense cloud subject to buoyancy forces and interaction with a moving obstacle is simulated. We use a Eulerian solver to compute a base flow, as shown on the left. Small-scale detail is synthesized directly on the interface of the cloud. An adapted turbulence model provides details from obstacle interaction (middle left), while small-scale buoyancy effects are calculated using vortex sheet dynamics (in the middle right). The picture on the right shows the combined model. AbstractBuoyant turbulent smoke plumes with a sharp smoke-air interface, such as volcanic plumes, are notoriously hard to simulate. The surface clearly shows small-scale turbulent structures which are costly to resolve. In addition, the turbulence onset is directly visible at the interface, and is not captured by commonly used turbulence models. We present a novel approach that employs a triangle mesh as a highresolution surface representation combined with a coarse Eulerian solver. On the mesh, we solve the interfacial vortex sheet equations, which allows us to accurately simulate buoyancy induced turbulence. For complex boundary conditions we propose an orthogonal turbulence model that handles vortices caused by obstacle interaction. In addition, we demonstrate a re-sampling scheme to remove surfaces that are hidden inside the bulk volume. In this way we are able to achieve highly detailed simulations of turbulent plumes efficiently.

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Impact of a vortex ring on a density interface using a regularized inviscid vortex sheet method

Cited by 38 publications

References 67 publications

A stream function solver for liquid simulations

A stream function solver for liquid simulations

Liquid surface tracking with error compensation

Lagrangian vortex sheets for animating fluids

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