Numerical Simulation of Unsteady Viscous Free Surface Flow
Abstract
A finite element method is presented for the numerical simulation of time-dependent incompressible viscous free surface flows. The time-dependent primitive equations are solved sequentially using explicit time marching procedure. The method is based on a velocity correction approach to the time integration of the Navier-Stokes equations in which only the incompressibility condition is treated implicitly. A special arbitrary mixed Lagrangian-Eulerian description has been used to avoid the typical problems encountered in a purely Lagrangian description. The method appears applicable for small computers; problems requiring several thousand nodes can be solved on personal computers. Numerical experiments have been performed that show that this approach is reasonably efficient and robust for a range of complicated highly nonlinear problems.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- October 1990
- DOI:
- 10.1016/0021-9991(90)90173-X
- Bibcode:
- 1990JCoPh..90..396R