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An Adaptive Hp-finite Element Method for Incompressible Free-surface Flows of Generalized Newtonian Fluids

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Legat, Vincent [UCL] Oden, JT.

An adaptive hp-finite element method for free surface flows of incompressible viscous fluids is presented. Generalized Newtonian models and surface tension effects are included. Principal components of our method are a reliable discretization of the free surface, a moving grid algorithm, an a posteriori error estimator and an efficient adaptive strategy. A full Newton-Raphson iterative scheme and an adequate data structure are employed in the analysis. Numerical experiments that illustrate applications of the method to model free surface flows are included.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1995
Language Anglais
Journal information "Zeitschrift fuer Angewandte Mathematik und Physik" - Vol. 46, p. S643-S678 (1995)
Peer reviewed yes
Publisher Birkhauser Verlag Ag (Basel)
issn 0044-2275
e-issn 1420-9039
Publication status Publié
Affiliation UCL
Links
Bibliographic reference Legat, Vincent ; Oden, JT.. An Adaptive Hp-finite Element Method for Incompressible Free-surface Flows of Generalized Newtonian Fluids. In: Zeitschrift fuer Angewandte Mathematik und Physik, Vol. 46, p. S643-S678 (1995)
Permanent URL http://hdl.handle.net/2078.1/47784