Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system

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dc.contributor.areamathematicsen_US
dc.contributor.authorMartini, Immanuel
dc.contributor.authorRozza, Gianluigi
dc.contributor.authorHaasdonk, Bernard
dc.date.accessioned2021-04-19T09:25:31Z
dc.date.available2021-04-19T09:25:31Z
dc.date.issued2015
dc.description.abstractThe coupling of a free flow with a flow through porous media has many potential applications in several fields related with computational science and engineering, such as blood flows, environmental problems or food technolo gies. We present a reduced basis method for such coupled problems. The re duced basis method is a model order reduction method applied in the context of parametrized systems. Our approach is based on a heterogeneous domain decompo sition formulation, namely the Stokes-Darcy problem. Thanks to an offline/online decomposition, computational times can be drastically reduced. At the same time the induced error can be bounded by fast evaluable a-posteriori error bounds. In the offline-phase the proposed algorithms make use of the decomposed problem structure. Rigorous a-posteriori error bounds are developed, indicating the accu racy of certain lifting operators used in the offline-phase as well as the accuracy of the reduced coupled system. Also, a strategy separately bounding pressure and velocity errors is extended. Numerical experiments dealing with groundwater flow scenarios demonstrate the efficiency of the approach as well as the limitations regarding a-posteriori error estimationen_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35429
dc.language.isoenen_US
dc.subjectReduced basis methoden_US
dc.subjectStokes flowen_US
dc.subjectPorous medium equationen_US
dc.subjectDomain decompositionen_US
dc.subjectNon-coercive problemen_US
dc.subjectError estimationen_US
dc.titleReduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy systemen_US
dc.typeArticleen_US
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