Multilevel vorticity confinement for water turbulence simulation

Jang, Taekwon; Kim, Heeyoung; Bae, Jinhyuk; Seo, Jung Hun; Noh, Junyong

doi:10.1007/s00371-010-0487-1

Cited by 16 publications

(12 citation statements)

References 20 publications

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“…This indicates that the common approach of using the velocity field to capture free surface turbulence [Narain et al 2008;Jang et al 2010;Yuan et al 2012] is insufficient. Savelsberg and van de Water [2008] also established that the surface could be approximated as a set of advected capillary-gravity wave sources, and concluded that "the surface is most likely excited by the largest subsurface turbulence scales only."…”

Section: Previous Workmentioning

confidence: 98%

“…Previous methods for increasing the resolution of liquid simulations [Narain et al 2008;Jang et al 2010;Yuan et al 2012] have assumed that if the turbulence of the underlying fluid velocity field is increased, high-resolution surface dynamics will follow. However, the literature on free surface turbulence, also known as "wave turbulence" or "weak turbulence", maintains that the free surface, especially at high frequencies, possesses additional dynamics that are not mere images of the underlying velocity field.…”

Section: Introductionmentioning

confidence: 99%

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Closest point turbulence for liquid surfaces

Kim

Tessendorf

Thürey³

2013

ACM Trans. Graph.

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and NILS THÜREY Scanline VFXWe propose a method of increasing the apparent spatial resolution of an existing liquid simulation. Previous approaches to this "up-resing" problem have focused on increasing the turbulence of the underlying velocity field. Motivated by measurements in the free surface turbulence literature, we observe that past certain frequencies, it is sufficient to perform a wave simulation directly on the liquid surface, and construct a reduced-dimensional surface-only simulation. We sidestep the considerable problem of generating a surface parameterization by employing an embedding technique known as the Closest Point Method (CPM) that operates directly on a 3D extension field. The CPM requires 3D operators, and we show that for surface operators with no natural 3D generalization, it is possible to construct a viable operator using the inverse Abel transform. We additionally propose a fast, frozen core closest point transform, and an advection method for the extension field that reduces smearing considerably. Finally, we propose two turbulence coupling methods that seed the high-resolution wave simulation in visually expected regions.

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Section: Previous Workmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Closest point turbulence for liquid surfaces

Kim

Tessendorf

Thürey³

2013

ACM Trans. Graph.

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“…Their implementation involves computing and adding rotational forces within the internal sub-steps of the solver. This method was also extended to water turbulence simulation [Jang et al 2010]. …”

Section: Related Workmentioning

confidence: 99%

Spatio-temporal extrapolation for fluid animation

Zhang

2013

ACM Trans. Graph.

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a) Coarse Grid Simulation 160 × 128 × 64 (b) Fine Grid Simulation 320 × 256 × 128 (c) Spatio-temporal Extrapolation 320 × 256 × 128 Figure 1: Our spatio-temporal extrapolation method can enhance the fluid simulation result by applying a black-box grid-based solver on two grid scales and combining the solutions together at each time step. The extrapolation technique produces better motion quality (c) than those from directly applying the solver on the two scales separately (a) and (b). AbstractWe introduce a novel spatio-temporal extrapolation technique for fluid simulation designed to improve the results without using higher resolution simulation grids. In general, there are rigid demands associated with pushing fluid animations to higher resolutions given limited computational capabilities. This results in tradeoffs between implementing high-order numerical methods and increasing the resolution of the simulation in space and time. For 3D problems, such challenges rapidly become cost-ineffective. The extrapolation method we present improves the flow features without using higher resolution simulation grids. In this paper, we show that simulation results from our extrapolation are comparable to those from higher resolution simulations. In addition, our method differs from high-order numerical methods because it does not depend on the equation or specific solver. We demonstrate that it is easy to implement and can significantly improve the fluid animation results.

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“…Jang et al [17] used a multilevel vorticity confinement approach to achieve turbulences in Eulerian water simulations. Vorticity confinement was also used in hybrid simulations, in which the fluids were simulated as SPH particles and where an additional grid was used for vorticity confinement.…”

Section: Vorticity Confinementmentioning

confidence: 99%

Turbulent Micropolar SPH Fluids with Foam

Bender

Koschier

Kugelstadt

et al. 2019

IEEE Trans. Visual. Comput. Graphics

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In this paper we introduce a novel micropolar material model for the simulation of turbulent inviscid fluids. The governing equations are solved by using the concept of Smoothed Particle Hydrodynamics (SPH). SPH fluid simulations suffer from numerical diffusion which leads to a lower vorticity, a loss in turbulent details and finally in less realistic results. To solve this problem we propose a micropolar fluid model. The micropolar fluid model is a generalization of the classical Navier-Stokes equations, which are typically used in computer graphics to simulate fluids. In contrast to the classical Navier-Stokes model, micropolar fluids have a microstructure and therefore consider the rotational motion of fluid particles. In addition to the linear velocity field these fluids have a field of microrotation which represents existing vortices and provides a source for new ones. Our novel micropolar model can generate realistic turbulences, is linear and angular momentum conserving, can be easily integrated in existing SPH simulation methods and its computational overhead is negligible. Another important visual feature of turbulent liquids is foam. Therefore, we present a post-processing method which considers microrotation in the foam generation. It works completely automatic and requires only one user-defined parameter to control the amount of foam.

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Multilevel vorticity confinement for water turbulence simulation

Cited by 16 publications

References 20 publications

Closest point turbulence for liquid surfaces

Closest point turbulence for liquid surfaces

Spatio-temporal extrapolation for fluid animation

Turbulent Micropolar SPH Fluids with Foam

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