Abstract
We present a hybrid scheme for computations of three-dimensional incompressible two-phase flows. A Poisson-like pressure equation is deduced from the incompressible constraint, i.e., the divergence-free condition of the velocity field, via an extended marker and cell method, and the moment equations in the 3D incompressible NavierStokes equations are solved by our 3D semi-discrete Hermite central-upwind scheme. The interface between the two fluids is considered to be the 0.5 level set of a smooth function being a smeared out Heaviside function. Numerical results are offered to verify the desired efficiency and accuracy of our 3D hybrid scheme.
| Original language | English |
|---|---|
| Pages (from-to) | 889-905 |
| Number of pages | 17 |
| Journal | International Journal of Applied Mechanics |
| Volume | 2 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2010 |
Keywords
- central-upwind scheme
- level set method
- marker and cell method
- three-dimensional incompressible flow
- Two-phase flow