Simulation of Incompressible Free Surface Flow Using the Volume Preserving Level Set Method

Simulation of Incompressible Free Surface Flow Using the Volume Preserving Level Set Method

Year:    2015

Communications in Computational Physics, Vol. 18 (2015), Iss. 4 : pp. 931–956

Abstract

This study aims to develop a numerical scheme in collocated Cartesian grids to solve the level set equation together with the incompressible two-phase flow equations. A seventh-order accurate upwinding combined compact difference (UCCD7) scheme has been developed for the approximation of the first-order spatial derivative terms shown in the level set equation. Developed scheme has a higher accuracy with a three-point grid stencil to minimize phase error. To preserve the mass of each phase all the time, the temporal derivative term in the level set equation is approximated by the sixth-order accurate symplectic Runge-Kutta (SRK6) scheme. All the simulated results for the dam-break, Rayleigh-Taylor instability, bubble rising, two-bubble merging, and milkcrown problems in two and three dimensions agree well with the available numerical or experimental results.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.081214.240515s

Communications in Computational Physics, Vol. 18 (2015), Iss. 4 : pp. 931–956

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:   

  1. Development of a coupled level set and immersed boundary method for predicting dam break flows

    Yu, C.H. | Sheu, Tony W.H.

    Computer Physics Communications, Vol. 221 (2017), Iss. P.1

    https://doi.org/10.1016/j.cpc.2017.07.007 [Citations: 8]
  2. A volume of fluid method algorithm for simulation of surface tension dominant two-phase flows

    Gu, Z. H. | Wen, H. L. | Yao, Yuan | Yu, C. H.

    Numerical Heat Transfer, Part B: Fundamentals, Vol. 76 (2019), Iss. 1 P.1

    https://doi.org/10.1080/10407790.2019.1642048 [Citations: 11]
  3. A level set redistancing algorithm for simulation of two-phase flow

    An, R. D. | Yu, C. H.

    Numerical Heat Transfer, Part B: Fundamentals, Vol. 78 (2020), Iss. 1 P.30

    https://doi.org/10.1080/10407790.2020.1746601 [Citations: 10]
  4. An advection velocity correction scheme for interface tracking using the level-set method

    Satheesh, Kiran | Srinivas, Gowtham | Hemchandra, Santosh

    Computers & Fluids, Vol. 168 (2018), Iss. P.232

    https://doi.org/10.1016/j.compfluid.2018.04.010 [Citations: 0]
  5. A fully coupled ALE interface tracking method for a pressure-based finite volume solver

    Vakilipour, Shidvash | Mohammadi, Masoud | Ormiston, Scott

    Journal of Computational Physics, Vol. 427 (2021), Iss. P.110054

    https://doi.org/10.1016/j.jcp.2020.110054 [Citations: 7]