A new numerical model for the solution of the single-fluid formulation of the incompressible Navier-Stokes equations for two-phase flows is presented. The model couples an interface front-tracking algorithm to a solver of the Navier-Stokes equations based on the finite element method. The interface
A front-tracking algorithm for accurate representation of surface tension
✍ Scribed by Stéphane Popinet; Stéphane Zaleski
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 204 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
A front-tracking algorithm for the solution of the 2D incompressible Navier -Stokes equations with interfaces and surface forces is presented. More particularly, attention is focused on obtaining an accurate description of the surface tension terms and the associated pressure jump. The stationary Laplace solution for a bubble with surface tension is considered. A careful treatment of the pressure gradient terms at the interface allows the reduction of the spurious currents to machine precision. Good results are obtained for the damped oscillations of a capillary wave compared with the initial-value linear theory. A classical test of Rayleigh-Taylor instability is presented.
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