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

doi:10.1002/fld.1650080308

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

Faculty of Engineering Technology

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15 Citations (Scopus)

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Abstract

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 language	English
Pages (from-to)	351-363
Journal	International journal for numerical methods in fluids
Volume	8
Issue number	3
DOIs	https://doi.org/10.1002/fld.1650080308
Publication status	Published - 1988

Keywords

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

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10.1002/fld.1650080308

Kruyt88totalFinal published version, 642 KB

Cite this

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title = "A total linearization method for solving viscous free boundary flow problems by the finite element method",

abstract = "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.",

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AU - Cuvelier, C.

AU - Segal, A.

AU - van der Zanden, J.

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AB - 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.

KW - Finite Element Method

KW - Free boundary flow

KW - Viscous flow

KW - Navier Stokes equations

KW - n/a OA procedure

U2 - 10.1002/fld.1650080308

DO - 10.1002/fld.1650080308

M3 - Article

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JO - International journal for numerical methods in fluids

JF - International journal for numerical methods in fluids

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