Total Linearisation Method for Solving Viscous Free Boundary Flow Problems by the Finite Element Method

摘要

In the paper a Total Linearization Method is derived for solving steady viscous free boundary flow problems (including capillary effects) by the finite element method. It is shown that the influence of the geometrical unknown in the totally linearized weak formulation can be expressed in terms of boundary elements. This means that the implementation of the method is simple. Numerical experiments show that the iterative method gives accurate results and converges very fast. (Copyright (c) 1986 by Department of Mathematics and Informatics, Delft, The Netherlands.)