Numerical Implementation of Free Surface Flow Algorithms
The numerical implementation details of the front tracking and the boundary integral methods are given. The front tracking method is applicable to multiphase flow problems with moving boundaries at moderate Reynolds numbers. It is based on an Eulerian grid on which a moving front is explicitly defined by a finite element style representation of the surface. This feature is also found in the boundary element method that is used for the simulation of free surface problems where vorticity is negligibly small. Both methods are applicable to three dimensional flows. An axisymmetric version of the boundary integral method is also discussed. Special aspects of the algorithms associated with these methods are explained.
KeywordsCollocation Point Quadrilateral Element Quadrature Point Front Tracking Boundary Integral Method
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