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dc.contributor.authorLitvinenko, Alexander
dc.contributor.authorTempone, Raul
dc.contributor.authorLogashenko, Dmitry
dc.contributor.authorWittum, Gabriel
dc.contributor.authorKeyes, David E.
dc.date.accessioned2019-03-12T06:25:07Z
dc.date.available2019-03-12T06:25:07Z
dc.date.issued2019-03
dc.identifier.urihttp://hdl.handle.net/10754/631554
dc.description.abstractIn many countries, groundwater is the strategic reserve, which is used as drinking water and as an irrigation resource. Therefore, accurate modeling of the pollution of the soil and groundwater aquifer is highly important. As a model, we consider a density-driven groundwater flow problem with uncertain porosity and permeability. This problem may arise in geothermal reservoir simulation, natural saline-disposal basins, modeling of contaminant plumes and subsurface flow. This strongly non-linear problem describes how salt or polluted water streams down building 'fingers". The solving process requires a very fine unstructured mesh and, therefore, high computational resources. Consequently, we run the parallel multigrid solver UG4 (https://github.com/UG4/ughub.wiki.git) on Shaheen II supercomputer. The parallelization is done in both - the physical space and the stochastic space. The novelty of this work is the estimation of risks that the pollution will achieve a specific critical concentration. Additionally, we demonstrate how the multigrid UG4 solver can be run in a black-box fashion for testing different scenarios in the density-driven flow. We solve Elder's problem in 2D and 3D domains, where unknown porosity and permeability are modeled by random fields. For approximations in the stochastic space, we use the generalized polynomial chaos expansion.
dc.relation.urlhttp://meetings.siam.org/sess/dsp_talk.cfm?p=98028
dc.subjectuncertain quantification
dc.subjectsubsurface flow
dc.subjectUG4
dc.subjectShaheen
dc.subjectparallel algorithms
dc.subjectsurrogate models
dc.subjectuncertain porosity
dc.subjectuncertain mass fraction
dc.titleSolution of Density Driven Groundwater Flow with Uncertain Porosity and Permeability Coefficients
dc.typePresentation
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.conference.date10-15 March 2019
dc.conference.nameSIAM GS 2019 Conference
dc.conference.locationHouston, USA
dc.contributor.institutionRWTH Aachen
refterms.dateFOA2019-03-12T06:25:07Z


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