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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)