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Strongly Coupled Analysis of Fluid‐Structure Interaction with Free Surface Flow
Author(s) -
Kölke Andreas,
Walhorn Elmar,
Hübner Björn,
Dinkler Dieter
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410150
Subject(s) - discretization , free surface , flow (mathematics) , jump , basis (linear algebra) , fluid–structure interaction , surface (topology) , partition (number theory) , space (punctuation) , fluid dynamics , set (abstract data type) , mechanics , interface (matter) , computer science , partition of unity , free space , mathematics , mathematical analysis , finite element method , geometry , physics , thermodynamics , bubble , quantum mechanics , combinatorics , maximum bubble pressure method , programming language , operating system , optics
Abstract For the numerical analysis of interactions of immiscible two‐fluid flows and lightweight elastic structures a discretization method based on stabilized space‐time finite elements is applied. The use of the level set method provides an implicitly given description of the evolving flow domains and useful geometrical information of the moving and topological changing fluid‐fluid interface. Due to the choice of a proper enriched basis within the partition of unity concept, the method is able to capture strong discontinuous solutions in space and time introduced by interfacial jump conditions and different material properties on each side of the moving interface. A numerical example demonstrates the ability of the method to handle complex free surface flow situations and their interplay with elastic bodies. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)