An Embedded Boundary Method for Two Phase Incompressible Flow

2013/04/19 by Wang, Shuqiang, Glimm, James, Samulyak, Roman +2
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1304.5514

Abstract

We develop an embedded boundary method (EBM) to solve the two-phase incompressible flow with piecewise constant density. The front tracking method is used to track the interface. The fractional step methods are used to solve the incompressible Navier-Stokes equations while the EBM is used in the projection step to solve an elliptic interface problem for the pressure with a jump equal to the surface tension force across the interface. Several examples are used to verify the accuracy of the method.

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