M. Sussman et al., A LEVEL SET APPROACH FOR COMPUTING SOLUTIONS TO INCOMPRESSIBLE 2-PHASE FLOW, Journal of computational physics, 114(1), 1994, pp. 146-159
A level set approach for computing solutions to incompressible two-pha
se flow is presented. The interface between the two fluids is consider
ed to be sharp and is described as the zero level set of a smooth func
tion. We use a second-order projection method which implements a secon
d-order upwinded procedure for differencing the convection terms. A ne
w treatment of the level set method allows us to include large density
and viscosity ratios as well as surface tension. We consider the moti
on of air bubbles in water and falling water drops in air. (C) 1994 Ac
ademic Press, Inc.