A front-tracking algorithm for accurate representation of surface tension
Résumé
We present a front tracking algorithm for the solution of the 2D
incompressible Navier-Stokes equations with interfaces and surface
forces. More particularly, we focus our attention on the accurate
description of the surface tension terms and the associated pressure
jump. We consider the stationary Laplace solution for a bubble with
surface tension. A careful treatment of the pressure gradient terms at
the interface allows us to reduce the spurious currents to the machine
precision. Good results are obtained for the oscillation of a capil-
lary wave compared with the linear viscous theory. A classical test of
Rayleigh-Taylor instability is presented.
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