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Transport and Reaction in Porous Media: Simulation (RTpMNum)5 ECTS
(englische Bezeichnung: Transport and Reaction in Porous Media: Simulation)
Modulverantwortliche/r: Serge Kräutle
Lehrende:
Peter Knabner
| Start semester: |
SS 2019 | Duration: |
1 semester | Cycle: |
jährlich (WS) |
| Präsenzzeit: |
38 Std. | Eigenstudium: |
112 Std. | Language: |
Englisch |
Lectures:
Inhalt:
- Degenerate parabolic differential equations as multiphase flow models:
formulation, nonlinear solution methods, discretization methods
Models for transport and reactions in porous media, consisting of coupled PDEs and ODEs, if necessary coupled to algebraic equations (AEs) and inequalities for the description of local equilibria (differential-algebraic system) Different formulations of the system (operator splitting, change of variables, combination of the equations, elimination of AEs), as a basis for different software packages for numerical simulations, connection to optimisation (Gibbs energy) Treatment of numerical difficulties (Guarantee of nonnegativity of numerical solutions of the (nonlinear) problems, scaling problems, convection dominated problems
Lernziele und Kompetenzen:
Students
use methods for the numerical solving of a class of problems whose complexity goes significantly beyond standard problems (Poisson and heat equation): coupled nonlinear partial and ordinary differential equations (PDEs, ODEs) and algebraic equations (AEs), put strategies for the treatment of possible difficulties during the numerical solving into practice.
Literatur:
Literature from various sources - in part scientific literature - is announced during the lectures
Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:
Das Modul ist im Kontext der folgenden Studienfächer/Vertiefungsrichtungen verwendbar:
- 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: Simulation)
- Computational and Applied Mathematics (Master of Science)
(Po-Vers. 2017w | NatFak | Computational and Applied Mathematics (Master of Science) | Specialisation: Numerical analysis and simulation (NASi) and optimization (Opti) | Transport and reaction in porous media: Simulation)
- Mathematik (Master of Science)
(Po-Vers. 2014w | NatFak | Mathematik (Master of Science) | Gesamtkonto | Studienrichtung Modellierung, Simulation und Optimierung | Kernmodule Studienrichtung Modellierung, Simulation und Optimierung)
- Mathematik (Master of Science)
(Po-Vers. 2014w | NatFak | Mathematik (Master of Science) | Gesamtkonto | Studienrichtung Modellierung, Simulation und Optimierung | Forschungsmodule Studienrichtung Modellierung, Simulation und Optimierung)
- Mathematik (Master of Science)
(Po-Vers. 2014w | NatFak | Mathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule)
- Mathematik (Master of Science)
(Po-Vers. 2015w | NatFak | Mathematik (Master of Science) | Gesamtkonto | Studienrichtung Modellierung, Simulation und Optimierung | Kernmodule Studienrichtung Modellierung, Simulation und Optimierung)
- Mathematik (Master of Science)
(Po-Vers. 2015w | NatFak | Mathematik (Master of Science) | Gesamtkonto | Studienrichtung Modellierung, Simulation und Optimierung | Forschungsmodule Studienrichtung Modellierung, Simulation und Optimierung)
- Technomathematik (Master of Science)
(Po-Vers. 2015w | NatFak | Technomathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule | Kernmodule Studienrichtung Modellierung, Simulation und Optimierung)
- Technomathematik (Master of Science)
(Po-Vers. 2015w | NatFak | Technomathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule | Forschungsmodule Studienrichtung Modellierung, Simulation und Optimierung)
- Wirtschaftsmathematik (Master of Science)
(Po-Vers. 2014w | NatFak | Wirtschaftsmathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule)
- Wirtschaftsmathematik (Master of Science)
(Po-Vers. 2015w | NatFak | Wirtschaftsmathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule | Kernmodule Studienrichtung Modellierung, Simulation und Optimierung)
- Wirtschaftsmathematik (Master of Science)
(Po-Vers. 2015w | NatFak | Wirtschaftsmathematik (Master of Science) | Gesamtkonto | Mathematische Wahlmodule | Forschungsmodule Studienrichtung Modellierung, Simulation und Optimierung)
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