Implementation of the level set method for modeling the dynamics of systems with fluid interfaces

Authors

  • Dmitriy Viktorovich Lyubimov Perm State University image/svg+xml
  • Tatyana Petrovna Lyubimova Institute of Continuous Media Mechanics UB RAS
  • Andrey Olegovich Ivantsov Perm State University image/svg+xml
  • Alexandra Anatolievna Cherepanova Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2008.1.2.15

Keywords:

Abstract

A numerical algorithm for modeling the dynamics of two immiscible fluids with deformable interfaces based on the level set method is worked out. Numerical simulations of the Rayleigh -Taylor instability development and periodical patterns that arise at the fluid interface under horizontal vibrations are carried out. Calculations are made using adaptive mesh refinement and parallel programming techniques. The results are found to be in good agreement with the numerical and experimental data known from the literature.

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References

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Osher S., Sethian J. Front Propagation with Curvature Dependent Speed: Algorithm Based on Hamilton-Jacobi Formulations. // J. Comp. Phys. - 1988. - V. 79 (1). - P. 12-49. DOI
Lubimov D.V., Lubimova T.P. Ob odnom metode skvoznogo sceta dla resenia zadac s deformiruemoj poverhnost’u razdela. // Modelirovanie v mehanike. - 1990. - T. 4 (21), No 1. - S. 136-140.
Brackbill J.U., Kothe D.B., Zemach C. A continuum method for modeling surface tension. // J. Comp. Phys. - 1992. - V. 100. - P. 335-354. DOI
MacNeice P., Olson K.M., Mobarry C., Fainchtein R., Packer C. PARAMESH: A parallel adaptive mesh refinement community toolkit // Computer Physics Communications.- 2000. - V. 126. - P. 330-354. DOI
http://www.physics.drexel.edu/~olson/paramesh-doc/Users_manual/amr.html.
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Sussman M., Smereka P., Osher S. A level set approach for computing solutions to incompressible two-phase flow. // J. Comp. Phys. - 1994. - V. 114. - P. 146-159. DOI
http://www.uned.es/ind-4-mecanica-fluidos/anim-RT2.htm.
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Published

2008-04-01

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How to Cite

Lyubimov, D. V., Lyubimova, T. P., Ivantsov, A. O., & Cherepanova, A. A. (2008). Implementation of the level set method for modeling the dynamics of systems with fluid interfaces. Computational Continuum Mechanics, 1(2), 53-62. https://doi.org/10.7242/1999-6691/2008.1.2.15