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A Projection Method for Two-Phase Incompressible Flow with Surface Tension and Sharp Interface Resolution

Please always quote using this URN: urn:nbn:de:0297-zib-5851
  • We present a fully second order projection method for the simulation of two-phase incompressible flow with surface tension. The Navier-Stokes equations are solved with a projection method on a fixed Cartesian grid. The free interface between the two fluids is tracked with a level set approach. The conditions at the interface for the pressure, the pressure gradient, and the velocity are explicitly incorporated into the scheme leading to a sharp representation of the pressure discontinuity and the interfacial force. The scheme in the presented form does not introduce additional points in the standard finite difference stencils. Computational results are compared with analytic solutions for a static round bubble, damped surface waves, and Rayleigh-Taylor instabilities.

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Metadaten
Author:Michael Oevermann, Rupert Klein, Marsha Berger, Jonathan Goodman
Document Type:ZIB-Report
Tag:Two-phase flow; immersed interface method; incompressible flow; level set; multi grid; projection method
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M06 Finite difference methods
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Dxx Incompressible viscous fluids / 76D05 Navier-Stokes equations [See also 35Q30]
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Mxx Basic methods in fluid mechanics [See also 65-XX] / 76M20 Finite difference methods
Date of first Publication:2000/05/03
Series (Serial Number):ZIB-Report (00-17)
ZIB-Reportnumber:00-17
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