We are pleased to announce that guest researcher Prof. Philippe Devloo from the University of Campinas (Brazil) will give the SFB 1313 "Pretty Porous Science Lecture" #21. His talk will be on "On the numerical modeling of the Brinkman equations using hybridized H(div) approximations".
Date: Thursday, 30 June 2022
Time: 4:00 pm CET
Speaker: Philippe Devloo from the University of Campinas (Brazil)
Lecture title: "On the numerical modeling of the Brinkman equations using hybridized H(div) approximations"
Place: The lecture will be a hybrid lecture. A small audience is possible in Pfaffenwaldring 61 MML, additionally the lecture is offered online. After registration, you will receive the meeting information.
Registration: If you are interested in participating in the lecture, please contact katharina.heck@iws.uni-stuttgart.de
Abstract
In this talk we present a numerical approximation of Darcy, Stokes and Brinkman equations using a semi-hybridized H(div) approximation spaces. The innovation of this work lies in the partial hybridization of the fluid equations in which the normal component of the fluid velocity is continuous and only the tangential component of the fluid velocity is hybridized. Special care needs to be taken to balance the order of approximation of the tangential traction vectors and the interior order of the H(div) approximation. The issuing numerical approximation is point wise conservative and can be used as a base for transport equations. The size of the global system of equations is greatly reduced by statically condensing the internal velocity and pressure degrees of freedom. The convergence of the method is verified when applied to Darcy flow, Stokes flow and Brinkman equations in two and three dimensions.
About Philippe Devloo
Philippe Devloo made his undergraduate studies in Gent, Belgium in "Electromechanical Engineering" (1976-1981). After a one-year study of "Computer Science" in 1981, he enrolled at the University of Texas in Austin to pursue a PhD in computational mechanics under the supervision of J T Oden (1982-1987). Since 1992, Philippe Devloo has been a professor at the Faculty of Civil Engineering of the University of Campinas in Brazil. His main interests are the application of object-oriented technology in scientific computing, finite element technology and continuum mechanics. Last year, he successfully applied for a scholarship funded by the German Academic Exchange Service within the programme "Research Stays for University Academics and Scientists". During his three-month research stay at the Department of Hydromechanics and Modelling of Hydrosystems (LH2) of the University of Stuttgart, he and SFB 1313 principal investigator Bernd Flemisch will investigate the numerical approximation of fluid flows through fractured porous media. A central tool of the planned collaboration will be the open-source simulator DuMux.
