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A free surface sharpening strategy using optimization method

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Abstract

VOF method which consists in transporting a discontinuous marker variable is widely used to capture the free surface in computational fluid dynamics. There is numerical dissipation in simulations involving the transport of the marker. Numerical dissipation makes the free surface lose its physical nature. A free surface sharpening strategy based on optimization method is presented in the paper. The strategy can keep the location of the free surface and local mass conservation at both time, and can also keep free surface in a constant width. It is independent on the types of solvers and meshes. Two famous cases were chosen for verifying the free surface sharpening strategy performance. Results show that the strategy has a very good performance on keeping local mass conservation. The efficiency of prediction of the free surface is improved by applying the strategy. Accurate modeling of flow details such as drops can also be captured by this method.

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References

  1. C.W. Hirt, B.D. Nichols. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys, 1981, 39: 201–225.

    Article  MATH  ADS  Google Scholar 

  2. E. Olsson, G. Kreiss. A conservative level set method for two phase flow. Journal of Computational Physics, 2005, 210: 225–246

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. L. Štrubelj et al. Simulations of free surface flows with implementation of surface tension and interface sharpening in the two-fluid model. International Journal of Heat and Fluid Flow, 2009, 30: 741–750

    Article  Google Scholar 

  4. Steven Dufour and Ahamadi Malidi. A free surface updating methodology for marker function-based Eulerian free surface capturing techniques on unstructured meshes. Commun. Numer. Meth. Engng, 2004, 20: 857–867.

    Article  MATH  Google Scholar 

  5. S. Aliabadi, T. E. Tezduyar. Stabilized-finite-element/interface-capturing techniques for parallel computation of unsteady flows with interfaces. Computer Methods in Applied Mechanics and Engineering, 2000, 190: 243–261.

    Article  MATH  ADS  Google Scholar 

  6. Tu S, Aliabadi S. Development of a hybrid finite volume/element solver for incompressible flows on unstructured meshes. International Journal for Numerical Methods in Fluids, 2007, 55(2): 177–203.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. Vinay R. Gopala, Berend G.M. van Wachem. Volume of fluid methods for immiscible fluid and free-surface flows. J. Chemical Engineering, 2008, 141: 204–221.

    Article  Google Scholar 

  8. K. Abdolmaleki, K. P. Thiagarajan and M. T. Morris-Thomas. Simulation of The Dam Break Problem and Impact Flows Using a Navier-Stokes Solver. 15th Australasian Fluid Mechanics Conference, Sydney, 2004.

    Google Scholar 

  9. Zhou Z. Q., Kat J. O. D. and Buchner B. A nonlinear 3-D approach to simulate green water dynamics on deck. Nantes. 7th Intl. Conf. Num. Ship Hydrodynamics, 1999.

    Google Scholar 

  10. J. C. Martin and W. J. Moyce. An experimental study of the collapse of liquid columns on a rigid horizontal plane. Philos. Trans. Roy. Soc. London, Ser. A, 1952, 244: 312–324.

    Article  MathSciNet  ADS  Google Scholar 

  11. Yohei Sato, Bojan Niceno. A conservative local interface sharpening scheme for the constrained interpolation profile method. Int. J. Numer. Meth. Fluids, 2012, 70: 441–467.

    Article  MathSciNet  Google Scholar 

  12. K. Svanberg. A class of globally convergent optimization methods based on conservative convex separable approximations. SIAM J. Optim, 2002, 12 (2): 555–573.

    Article  MATH  MathSciNet  Google Scholar 

  13. Steven G. Johnson. The NLopt nonlinear-optimization packge, http://ab-initio.mit.edu/nlopt.

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This work was funded by National Natural Science Foundation of China, Grant number: 51176012.

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Song, H., Ji, L. & Tu, S. A free surface sharpening strategy using optimization method. J. Therm. Sci. 24, 544–548 (2015). https://doi.org/10.1007/s11630-015-0820-0

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  • DOI: https://doi.org/10.1007/s11630-015-0820-0

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