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Simulation of fluid mixing with interface control

Published: 07 August 2015 Publication History

Abstract

The simulation of fluid mixing under the Eulerian framework often suffers from numerical dissipation issues. In this paper, we present a mass-preserving convection scheme that offers direct control on the shape of the interface. The key component of this scheme is a sharpening term built upon the diffusive flux of a user-specified kernel function. To determine the thickness of the ideal interface during fluid mixing, we perform theoretical analysis on a one-dimensional diffusive model using the Fick's law of diffusion. By explicitly controlling the interface thickness using a spatio-temporally varying kernel variable, we can use our scheme to produce realistic fluid mixing effects without numerical dissipation artifacts. We can also use the scheme to control interface changes between two fluids, due to temperature, pressure, or external energy input. This convection scheme is compatible with many advection methods and it has a small computational overhead.

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References

[1]
Allen, S. M., and Cahn, J. W. 1976. Mechanisms of phase transformations within the miscibility gap of Fe-rich Fe-Al alloys. Acta Metallurgica 24, 5, 425--437.
[2]
Badalassi, V., Ceniceros, H., and Banerjee, S. 2003. Computation of multiphase systems with phase field models. Journal of Computational Physics 190, 2, 371--397.
[3]
Bao, K., Wu, X., Zhang, H., and Wu, E. 2010. Volume fraction based miscible and immiscible fluid animation. Computer Animation and Virtual Worlds 21, 3-4, 401--410.
[4]
Boettinger, W., Warren, J., Beckermann, C., and Karma, A. 2002. Phase-field simulation of solidification. Annual review of materials research 32, 1, 163--194.
[5]
Boyd, L., and Bridson, R. 2012. MultiFLIP for energetic two-phase fluid simulation. ACM Trans. Graph. (SIGGRAPH) 31, 2, 16.
[6]
Chentanez, N., and Múller, M. 2012. Mass-conserving Eulerian liquid simulation. In Proceedings of SCA, Eurographics Association, 245--254.
[7]
Ding, H., Spelt, P. D., and Shu, C. 2007. Diffuse interface model for incompressible two-phase flows with large density ratios. Journal of Computational Physics 226, 2, 2078--2095.
[8]
Douglas Jr, J., and Dupont, T. 1971. Alternating-direction Galerkin methods on rectangles. Numerical Solution of Partial Differential Equations, II (SYNSPADE 1970), 133--214.
[9]
Enright, D., Marschner, S., and Fedkiw, R. 2002. Animation and rendering of complex water surfaces. ACM Trans. Graph. (SIGGRAPH) 21, 3, 736--744.
[10]
Foster, N., and Fedkiw, R. 2001. Practical animation of liquids. In Proceedings of SIGGRAPH 2001, E. Fiume, Ed., Computer Graphics Proceedings, Annual Conference Series, ACM, 23--30.
[11]
Hirt, C., and Nichols, B. 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics 39, 1, 201--225.
[12]
Hong, J.-M., and Kim, C.-H. 2005. Discontinuous fluids. ACM Trans. Graph. (SIGGRAPH) 24, 3 (July), 915--920.
[13]
Kang, N., Park, J., Noh, J., and Shin, S. Y. 2010. A hybrid approach to multiple fluid simulation using volume fractions. Computer Graphics Forum (Eurographics) 29, 2, 685--694.
[14]
Kim, B., Liu, Y., Llamas, I., and Rossignac, J. 2005. Flowfixer: Using BFECC for fluid simulation. In Proceedings of NPH, 51--56.
[15]
Lentine, M., Aanjaneya, M., and Fedkiw, R. 2011. Mass and momentum conservation for fluid simulation. In Proceedings of SCA, 91--100.
[16]
Lentine, M., Grétarsson, J. T., and Fedkiw, R. 2011. An unconditionally stable fully conservative semi-Lagrangian method. Journal of Computational Physics 230, 8, 2857--2879.
[17]
Losasso, F., Shinar, T., Selle, A., and Fedkiw, R. 2006. Multiple interacting liquids. ACM Trans. Graph. (SIGGRAPH) 25, 3, 812--819.
[18]
Mullen, P., McKenzie, A., Tong, Y., and Desbrun, M. 2007. A variational approach to Eulerian geometry processing. ACM Trans. Graph. 26, 3 (July).
[19]
Nielsen, M. B., and Østerby, O. 2013. A two-continua approach to Eulerian simulation of water spray. ACM Trans. Graph. (SIGGRAPH) 32, 4.
[20]
Park, J., Kim, Y., Wi, D., Kang, N., Shin, S. Y., and Noh, J. 2008. A unified handling of immiscible and miscible fluids. Computer Animation and Virtual Worlds 19, 3-4, 455--467.
[21]
Rasmussen, N., Enright, D., Nguyen, D., Marino, S., Sumner, N., Geiger, W., Hoon, S., and Fedkiw, R. 2004. Directable photorealistic liquids. In Proc. of SCA, 193--202.
[22]
Song, O.-Y., Shin, H., and Ko, H.-S. 2005. Stable but nondissipative water. ACM Trans. Graph. 24, 1 (Jan.), 81--97.
[23]
Stam, J. 1999. Stable fluids. In Proc. of SIGGRAPH '99, Computer Graphics Proceedings, Annual Conference Series, 121--128.
[24]
Sun, Y., and Beckermann, C. 2007. Sharp interface tracking using the phase-field equation. Journal of Computational Physics 220, 2, 626--653.
[25]
Zhu, Y., and Bridson, R. 2005. Animating sand as a fluid. ACM Trans. Graph. (SIGGRAPH) 24, 3 (July), 965--972.
[26]
Zhu, H., Liu, X., Liu, Y., and Wu, E. 2006. Simulation of miscible binary mixtures based on Lattice Boltzmann method. Computer Animation and Virtual Worlds 17, 3-4, 403--410.
[27]
Zhu, H., Bao, K., Wu, E., and Liu, X. 2007. Stable and efficient miscible liquid-liquid interactions. In Proceedings of the 2007 ACM symposium on Virtual reality software and technology, 55--64.

Cited By

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  • (2024)Physics-based fluid simulation in computer graphics: Survey, research trends, and challengesComputational Visual Media10.1007/s41095-023-0368-y10:5(803-858)Online publication date: 27-Apr-2024
  • (2021)Effect of Changing Crude Oil Grade on Slug Characteristics and Flow Induced Mechanical Stresses in PipesApplied Sciences10.3390/app1111521511:11(5215)Online publication date: 4-Jun-2021
  • (2020)A novel discretization and numerical solver for non-fourier diffusionACM Transactions on Graphics10.1145/3414685.341786339:6(1-14)Online publication date: 27-Nov-2020
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    cover image ACM Conferences
    SCA '15: Proceedings of the 14th ACM SIGGRAPH / Eurographics Symposium on Computer Animation
    August 2015
    193 pages
    ISBN:9781450334969
    DOI:10.1145/2786784
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 07 August 2015

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    Author Tags

    1. diffuse interface
    2. fluid control
    3. fluid mixing
    4. miscible/immiscible fluids
    5. phase field

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    • Research-article

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    • University of Macau

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    SCA '15
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    Overall Acceptance Rate 183 of 487 submissions, 38%

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    View all
    • (2024)Physics-based fluid simulation in computer graphics: Survey, research trends, and challengesComputational Visual Media10.1007/s41095-023-0368-y10:5(803-858)Online publication date: 27-Apr-2024
    • (2021)Effect of Changing Crude Oil Grade on Slug Characteristics and Flow Induced Mechanical Stresses in PipesApplied Sciences10.3390/app1111521511:11(5215)Online publication date: 4-Jun-2021
    • (2020)A novel discretization and numerical solver for non-fourier diffusionACM Transactions on Graphics10.1145/3414685.341786339:6(1-14)Online publication date: 27-Nov-2020
    • (2019)CD-MPMACM Transactions on Graphics10.1145/3306346.332294938:4(1-15)Online publication date: 12-Jul-2019
    • (2017)Multi-species simulation of porous sand and water mixturesACM Transactions on Graphics10.1145/3072959.307365136:4(1-11)Online publication date: 20-Jul-2017

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