Implementation of linear and non-linear elastic biphasic porous media problems into FEATFLOW and comparison with PANDAS

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dc.contributor.advisorTurek, Stefan
dc.contributor.authorObaid, Abdulrahman Sadeq
dc.contributor.refereeMarkert, Bernd
dc.date.accepted2017-07-07
dc.date.accessioned2017-09-12T06:08:28Z
dc.date.available2017-09-12T06:08:28Z
dc.date.issued2017
dc.description.abstractThis dissertation presents a fully implicit, monolithic finite element solution scheme to effectively solve the governing set of differential algebraic equations of incompressible poroelastodynamics. Thereby, a two-dimensional, biphasic, saturated porous medium model with intrinsically coupled and incompressible solid and fluid constituents is considered. Our schemes are based on some well-accepted CFD techniques, originally developed for the efficient simulation of incompressible flow problems, and characterized by the following aspects: (1) a special treatment of the algebraically coupled volume balance equation leading to a reduced form of the boundary conditions; (2) usage of a higher-order accurate mixed LBBstable finite element pair with piecewise discontinuous pressure for the spatial discretization; (3) application of the fully implicit 2nd-order Crank-Nicolson scheme for the time discretization; (4) use of a special fast multigrid solver of Vanka-type smoother available in FEATFLOW to solve the resulting discrete linear equation system. Furthermore, a new adaptive time stepping scheme combined with Picard iteration method is introduced to solve a non-linear elastic problem with special hyper-elastic model. For the purpose of validation and to expose themerits and benefits of our new solution strategies in comparison to other established approaches, canonical one- and two-dimensional wave propagation problems are solved and a large-scale, dynamic soil-structure interaction problem serves to reveal the efficiency of the special multigrid solver and to evaluate its performance for different formulations.en
dc.identifier.urihttp://hdl.handle.net/2003/36089
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-18105
dc.language.isoende
dc.subjectNumerical methods in engineeringen
dc.subject.ddc510
dc.subject.rswkNumerische Strömungssimulationde
dc.subject.rswkPoröser Stoffde
dc.subject.rswkModellde
dc.titleImplementation of linear and non-linear elastic biphasic porous media problems into FEATFLOW and comparison with PANDASen
dc.typeTextde
dc.type.publicationtypedoctoralThesisen
dcterms.accessRightsopen access

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Lehrstuhl III Angewandte Mathematik und Numerik