BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:6341@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20210831T000000 DTEND;TZID=Europe/Paris:20210831T000000 DTSTAMP:20241120T201407Z URL:https://www.i2m.univ-amu.fr/evenements/thematic-day-of-applied-analysi s-porous-media-interface-and-upscaling-problems-in-porous-fluid-flows/ SUMMARY:Workshop (CIRM\, Luminy\, Marseille): Thematic day of Applied Analy sis: Porous media: interface and upscaling problems in porous-fluid flows DESCRIPTION:Workshop: Thematic day of Applied Analysis: Porous media: inter face and upscaling problems in porous-fluid flows\nJournée thématique d' Analyse Appliquée: Fluide-poreux : Problèmes d'interface et d'upscaling dans les écoulements fluide-poreux\n​\n\nLocal project leaders:\nPhilip pe Angot (Aix-Marseille Université)\nThomas Ourmières-Bonafos (Aix-Marse ille Université)contact: fluide-poreux@sciencesconf.org\n\n\n\n\n\n \ ;\n\n\n\n\nParticipants\n\n[su_spacer size="30"]\n\nElissa Eggenweiler (U niversity of Stuttgart)\nGeneralized coupling conditions for multidimensio nal flows in Stokes/Darcy systems\nExisting coupling concepts for the Stok es/Darcy problem are limited for one-dimensional flows (parallel or perpe ndicular to the interface)\, are not validated for multidimensional flows (arbitrary to the porous bed)\, or contain unknown model parameters\, wh ich need to be determined.\nIn this talk\, we present generalized interfac e conditions valid for multidimensional flows in Stokes/Darcy systems. Th ese conditions are derived rigorously using periodic homogenization and b oundary layer theory\, and all effective parameters can be computed base d on the pore geometry. We prove the well-posedness of the coupled Stokes /Darcy problem with the generalized conditions and validate the macroscal e model using pore-scale resolved simulations.\n[su_spacer size="10"]\nMa rco Discacciati (Loughborough University)\nDomain decomposition methods fo r the Stokes-Darcy problem\nThe Stokes-Darcy problem has received a growin g attention by the mathematical community over the last decade not only du e to its many possible applications but also to its mathematical nature. I ndeed\, it is a good example of a multi-physics problem where two differen t boundary value problems are coupled into a global heterogeneous one.\nTh e multi-physics nature of the problem makes it suitable to domain decompos ition techniques which permit to recover the solution of the coupled probl em by solving the fluid and the porous-medium subproblems separately in an iterative way.\nThis talk will provide an overview of different non-overl apping and overlapping approaches for the Stokes-Darcy problem considering the convergence and robustness of these methods as well as related modell ing aspects. Some numerical examples will show the effectiveness of the me thods for problems arising in practical applications.\n[su_spacer size="10 "]\nIryna Rybak (University of Stuttgart)\nHybrid-dimensional Stokes-Darc y model for fractured porous media\nHybrid-dimensional models for flow and transport processes in fractured porous media are effective approximatio ns of full-dimensional models. Traditionally applied mixed-dimensional Da rcy-Darcy models fail to adequately describe flow and transport through f ractures which act as conduits and separate rock matrices with significan tly different permeability. We propose a hybrid-dimensional Stokes-Darcy model for flows in fractured porous media. The fractures can store and tr ansport fluid and they are modeled as lower-dimensional entities in the  surrounding porous medium. The well-posedness of the proposed coupled mod el is proved under a mild restriction on the fracture aperture. The devel oped model is validated against the full-dimensional model and compared t o the hybrid-dimensional Darcy-Darcy model.\n[su_spacer size="10"]\nCather ine Choquet (Université de la Rochelle)\nCoupling of models that should h old at different scales\nContamination of soil and groundwater is a major concern that affects all populated areas. It is all the more important tha t groundwater pollution can be rapid and its remediation very long. A chal lenge is therefore to develop models to monitor the vulnerability of aquif ers in a context of very heterogeneous time scales. In this talk\, we prop ose nonlinear moving boundary problems describing the exchanges between th e overland and the underground water\, saltwater intrusion in coastal area s\, agricultural\, industrial\, or sewage pollution.  Let's use the exam ple of the recharge of aquifers by overland water.  We aim at keeping tra ck of (at least) two types of flow: the first is essentially vertical and it is dominant on a small time scale (Richards flow) and the second\, that is essentially horizontal\, corresponds to a large time scale (Dupuit flo w). Such a model cannot be justified by arguments of classical asymptotic analysis. Indeed\, the scales allowing to justify a Richards model from Da rcy's are very different from those allowing to obtain a Dupuit model from Darcy's. We thus propose another approach. The asymptotic analysis is no t used for deriving an effective model for a given reference time\; rather \, we want that the new model and the exact model are associated with the same effective problem for any time scale. The process allows to define so me virtual interface (that does not necessarily coincide with the water ta ble) separating an essentially vertical flow from an essentially horizonta l one. In this presentation\, the asymptotic analysis approach\, the defin ition of the interface over time\, numerical illustrations and some mathem atical difficulties related to the structure of the new model will be disc ussed...\n[su_spacer size="20"]\nExternal dedicated website\n\n\n\n\n\n \ n\nTRUSTEES \n\n\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\ n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\ n\n\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n\n\n CATEGORIES:Manifestation scientifique,Workshop LOCATION:Luminy - CIRM\, 163 Avenue de Luminy\, Marseille\, 13009\, France X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=Luminy - CIRM:geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:DAYLIGHT DTSTART:20210328T030000 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST END:DAYLIGHT END:VTIMEZONE END:VCALENDAR