Transport and Reaction in Porous Media: Modeling (RTpMod)5 ECTS
(englische Bezeichnung: Transport and Reaction in Porous Media: Modeling)
(Prüfungsordnungsmodul: Transport and reaction in porous media: Modelling)

Lectures:

• • Tutorial to Transport and Reaction in Porous Media: Modeling
    (Übung, 0,5 SWS, Nadja Ray, Mon, 8:30 - 10:00, 04.363, (außer Mon 30.4.2018, Mon 14.5.2018, Mon 4.6.2018, Mon 11.6.2018, Mon 25.6.2018, Mon 9.7.2018))
  • Transport and Reaction in Porous Media: Modeling
    (Vorlesung, 2 SWS, Nadja Ray, Mon, 10:15 - 11:45, 04.363; Preliminary meeting: 9.4.2018, 10:15 - 11:45 Uhr, 04.363)

Empfohlene Voraussetzungen:

Basic knowledge in differential equations

Inhalt:

• Modelling of fluid flow through a porous medium: Groundwater models

(Richards equation), multiphase flow

• Advection, diffusion, dispersion of dissolved substances, (nonlinear) reaction models (i.a. law of mass action, adsorption, kinetic / in local equilibrium, reactions with minerals)

• Models of partial (PDEs), ordinary (ODEs) differential equations, and local conditions

• Nonnegativity, boundedness, global existence of solutions, necessary model assumptions in the case of a pure ODE model as well as for a PDE mode

• Existence of stationary solutions (i.a. introduction to the Feinberg network theory)

Lernziele und Kompetenzen:

Students

• are able to model flow and reaction processes in porous media on macro- and micro-scale using partial differential equations,

• possess the techniques and the analytical foundations to assess the global existence of solutions.

Literatur:

Literature from various sources - in part scientific literature - is announced during the lectures

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Specialisation:Modeling and applied analysis (MApA) and numerical analysis and simulation (NASi) | Transport and reaction in porous media: Modelling)
2. Computational and Applied Mathematics (Master of Science)
   (Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Specialisation: Modeling and applied analysis (MApA) and optimization (Opti) | Transport and reaction in porous media: Modelling)

Studien-/Prüfungsleistungen:

Transport and reaction in porous media: Modelling (Prüfungsnummer: 59021)

(englischer Titel: Transport and reaction in porous media: Modelling)

Prüfungsleistung, mündliche Prüfung, Dauer (in Minuten): 15, benotet, 5.0 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Erstablegung: SS 2018, 1. Wdh.: SS 2018

1. Prüfer:

Nadja Ray