Eg. Puckett et al., A HIGH-ORDER PROJECTION METHOD FOR TRACKING FLUID INTERFACES IN VARIABLE-DENSITY INCOMPRESSIBLE FLOWS, Journal of computational physics, 130(2), 1997, pp. 269-282
We present a numerical method for computing solutions of the incompres
sible Euler or Navier-Stokes equations when a principal feature of the
flow is the presence of an interface between two fluids with differen
t fluid properties. The method is based on a second-order projection m
ethod for variable density flows using an ''approximate projection'' f
ormulation. The boundary between the fluids is tracked with a second-o
rder, volume-of-fluid interface tracking algorithm. We present results
for viscious Rayleigh-Taylor problems at early time with equal and un
equal viscosities to demonstrate the convergence of the algorithm. We
also present computational results for the Rayleigh-Taylor instability
in air-helium and for bubbles and drops in an air-water system withou
t surface tension to demonstrate the behavior of the algorithm on prob
lems with large density and viscosity contrasts. (C) 1997 Academic Pre
ss.