A net inflow method for incompressible viscous flow with moving free surface. (English) Zbl 0806.76045
A new finite element procedure called the net inflow method has been developed to simulate time-dependent incompressible viscous flow including moving free surfaces and inertial effects. As a fixed mesh approach with triangular element, the net inflow method can be used to analyse the free surface flow in both regular and irregular domains. The volume of liquid in a control volume is updated by integrating the net inflow of liquid during each iteration. The pressure on the free surface and in the liquid region can be solved explicitly with the continuity equation or implicitly by using the penalty function method. The radial planar free surface flow near a two-dimensional point source and the dam- breaking problem on either a dry bed or a still liquid have been analysed.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
radial planar flow; irregular domains; iteration; penalty function method; point source; dam-breakingReferences:
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