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Efficient Pressure-Correction Method for Interfacial Tracking Appropriate for the Immersed Boundary Method

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Direct and Large-Eddy Simulation XI

Part of the book series: ERCOFTAC Series ((ERCO,volume 25))

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Abstract

Solving the Navier–Stokes equations to simulate incompressible two-fluid flows with interfaces, is still a developing scientific field. One of the main challenges, is the reduction of the computational cost which is still significantly higher when compared to single-fluid problems. This is mainly due to the variable coefficients Poisson equation arising from the projection method to impose mass conservation.

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References

  1. Dong, S., Shen, J.: A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios. J. Comput. Phys. 231(17), 5788–5804 (2012)

    Article  MathSciNet  Google Scholar 

  2. Dodd, M.S., Ferrante, A.: A fast pressure-correction method for incompressible two-fluid flows. J. Comput. Phys. 273, 416–434 (2014)

    Article  MathSciNet  Google Scholar 

  3. Sussman, M., Fatemi, E., Smereka, P., Osher, S.: An improved level set method for incompressible two-phase flows. Comput. Fluids 27(5), 663–680 (1998)

    Article  Google Scholar 

  4. Berthelsen, P.A., Faltinsen, O.M.: A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries. J. Comput. Phys. 227(9), 4354–4397 (2008)

    Article  MathSciNet  Google Scholar 

  5. Liu, D., Lin, P.: Three-dimensional liquid sloshing in a tank with baffles. Ocean Eng. 36(2), 202–212 (2009)

    Article  Google Scholar 

  6. Tryggvason, G.: Numerical simulations of the Rayleigh-Taylor instability. J. Comput. Phys. 75(2), 253–282 (1988)

    Article  Google Scholar 

  7. Guermond, J.L., Quartapelle, L.: A projection FEM for variable density incompressible flows. J. Comput. Phys. 165(1), 167–188 (2002)

    Article  MathSciNet  Google Scholar 

  8. Chan, R.K.C., Street, R.L.: A computer study of finite-amplitude water waves. J. Comput. Phys. 6(1), 68–94 (1970)

    Article  Google Scholar 

  9. Lin, C.L., Lee, H., Lee, T., Weber, L.J.: A level set characteristic Galerkin finite element method for free surface flows. Int. J. Numer. Method Fluids 49(5), 521–547 (2005)

    Article  Google Scholar 

  10. Yue, W., Lin, C.L., Patel, V.C.: Numerical simulation of unsteady multidimensional free surface motions by level set method. Int. J. Numer. Method Fluid 42(8), 853–884 (2003)

    Article  Google Scholar 

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Acknowledgements

The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme FP7/2007-2013/ under REA grant agreement n\(^{o}\) 607394-SEDITRANS.

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Correspondence to C. Frantzis .

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Frantzis, C., Grigoriadis, D.G.E. (2019). Efficient Pressure-Correction Method for Interfacial Tracking Appropriate for the Immersed Boundary Method. In: Salvetti, M., Armenio, V., Fröhlich, J., Geurts, B., Kuerten, H. (eds) Direct and Large-Eddy Simulation XI. ERCOFTAC Series, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-04915-7_13

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  • DOI: https://doi.org/10.1007/978-3-030-04915-7_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04914-0

  • Online ISBN: 978-3-030-04915-7

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