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DC Element | Wert | Sprache |
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dc.contributor.advisor | Turek, Stefan | - |
dc.contributor.author | Obaid, Abdulrahman Sadeq | - |
dc.date.accessioned | 2017-09-12T06:08:28Z | - |
dc.date.available | 2017-09-12T06:08:28Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | http://hdl.handle.net/2003/36089 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-18105 | - |
dc.description.abstract | This 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.language.iso | en | de |
dc.subject | Numerical methods in engineering | en |
dc.subject.ddc | 510 | - |
dc.title | Implementation of linear and non-linear elastic biphasic porous media problems into FEATFLOW and comparison with PANDAS | en |
dc.type | Text | de |
dc.contributor.referee | Markert, Bernd | - |
dc.date.accepted | 2017-07-07 | - |
dc.type.publicationtype | doctoralThesis | en |
dc.subject.rswk | Numerische Strömungssimulation | de |
dc.subject.rswk | Poröser Stoff | de |
dc.subject.rswk | Modell | de |
dcterms.accessRights | open access | - |
Enthalten in den Sammlungen: | Lehrstuhl III Angewandte Mathematik und Numerik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
---|---|---|---|---|
Dissertation Obaid.pdf | DNB | 1.45 MB | Adobe PDF | Öffnen/Anzeigen |
CD-ROM.tar.gz | DNB | 8.96 MB | GNU ZIP | Öffnen/Anzeigen |
Diese Ressource ist urheberrechtlich geschützt. |
Diese Ressource ist urheberrechtlich geschützt.
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