Table of Content

Open Access

ARTICLE

A Solenoidal Initial Condition for the Numerical Solution of the Navier-Stokes Equations for Two-Phase Incompressible Flow

F. Bierbrauer, S.-P. Zhu1
School of Mathematics and Applied Statistics, University of Wollongong, NSW, 2522, Australia

Computer Modeling in Engineering & Sciences 2007, 19(1), 1-22. https://doi.org/10.3970/cmes.2007.019.001

Abstract

Recently the use of the one-field formulation in the numerical solution of the Navier-Stokes equations for two-phase incompressible flow has become a very attractive approach in CFD (computational fluid dynamics). While the presence of material discontinuities across fluid interfaces presents some difficulty, it is their combination with a non-solenoidal discontinuous initial velocity field, commonly occurring in the mathematical formulation, that has provided the greatest hindrance in the numerical solution. This paper presents three analytical solutions, the Bounded Creeping Flow, Solenoidal and Conserved Solenoidal Solutions, which are both continuous, incompressible, retain as much of the original mathematical formulation as possible and provide a physically reasonable initial velocity field.

Keywords

solenoidal initial condition, one-field formulation, two-phase flow.

Cite This Article

Bierbrauer, F., Zhu, S. (2007). A Solenoidal Initial Condition for the Numerical Solution of the Navier-Stokes Equations for Two-Phase Incompressible Flow. CMES-Computer Modeling in Engineering & Sciences, 19(1), 1–22.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 964

    View

  • 723

    Download

  • 0

    Like

Share Link

WeChat scan