A total linearization method for solving viscous free boundary flow problems by the finite element method

Nicolaas P. Kruyt, C. Cuvelier, A. Segal, J. van der Zanden

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In this 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 integrals. This means that the implementation of the method is simple. Numerical experiments show that the iterative method gives accurate results and converges very fast.
Original languageEnglish
Pages (from-to)351-363
JournalInternational journal for numerical methods in fluids
Issue number3
Publication statusPublished - 1988


  • Finite Element Method
  • Free boundary flow
  • Viscous flow
  • Navier Stokes equations
  • n/a OA procedure

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