Print Email Facebook Twitter Efficient Numerical Methods for Fluid-Structure Interaction Title Efficient Numerical Methods for Fluid-Structure Interaction Author Michler, C. Contributor De Borst, R. (promotor) Faculty Aerospace Engineering Date 2005-06-14 Abstract Numerical solution methods for fluid-structure interaction are of great importance in many engineering disciplines. The computation of fluid-structure interactions is challenging on account of their free-boundary and multi-physics character. The different length and time scale discretization requirements of the fluid and structure subsystems typically translate into the use of non-matching meshes at the fluid-structure interface. Under such an incompatible discretization, maintaining the conservation properties at the fluid-structure interface is in general non-trivial. Moreover, the solution of the coupled fluid-structure equations by the customary subiteration method often lacks robustness and efficiency. These aspects provide the motivation for the research into conservative discretization techniques and efficient iterative solution methods for fluid-structure interaction presented in this thesis. We investigate an approach that enables conservation at the interface even for incompatible fluid and structure discretizations. Numerical results demonstrate the relevance of maintaining conservation at the fluid-structure interface for the stability and accuracy of the numerical solution. To overcome the deficiencies of the subiteration solution method, we propose to combine subiteration with GMRES acceleration. Since the acceleration can be confined to the degrees-of-freedom of the interface, the acceleration itself requires only negligible computational resources. Moreover, the combined method allows for the optional reuse of Krylov vectors in subsequent invocations of GMRES, which can considerably enhance the efficiency of the method. Since the proposed method retains the modularity of the underlying subiteration method, its implementation is straightforward in codes that already use subiteration as a solver. Detailed convergence studies and a comparison with standard subiteration demonstrate the effectiveness of the proposed solution method. Subject Fluid-structure interactionpartitioningsubiterationGMRESNewton-Krylov methodsefficiencyenergy conservationspace/time finite-element method To reference this document use: http://resolver.tudelft.nl/uuid:74c60eed-9296-4d72-bd19-0c0005a84c63 ISBN 90-901-9533-5 Part of collection Institutional Repository Document type doctoral thesis Rights (c) 2005 C. Michler Files PDF ae_michler_20050614.pdf 1.5 MB Close viewer /islandora/object/uuid:74c60eed-9296-4d72-bd19-0c0005a84c63/datastream/OBJ/view