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Prof. Dr. Florian Frank

Prof. Dr. Florian Frank

Department Mathematik
Professur für Angewandte Mathematik (Mathematische Modellierung)

Raum: Raum 04.338
Cauerstraße 11
91058 Erlangen

Akademische Ausbildung und Abschlüsse

10/2019 Dr. habil. (Lehrbefähigung für das Fach Mathematik, FAU)
11/2013 Dr. rer. nat. (Promotion in Angewandter Mathematik, FAU, Prof. Dr. P. Knabner)
10/2008–11/2013 Promotionsstudium in Angewandter Mathematik, FAU
10/2008 Diplom-Mathematiker Univ., FAU
10/2002–10/2008 Studiengang Diplom-Mathematik, Nebenfach Informatik, FAU
06/2002 Zeugnis der allgemeinen Hochschulreife, Bayern (Abitur)
09/1992–06/2002 Gymnasium Lichtenfels, naturwissenschaftlicher Zweig

Universitäre Beschäftigungsverhältnisse

seit 10/2018 Universitätsprofessor (W2, Vertretung), Angewandte Mathematik (Mathematische Modellierung), FAU
03/2018–09/2018 Universitätsprofessor (W3, Vertretung), Angewandte Mathematik, FAU
08/2017–02/2018 Senior Postdoctoral Research Associate am CAAM Department, Rice University
08/2014–07/2017 Postdoctoral Research Associate am CAAM Department, Rice University
12/2013–06/2014 Postdoktorand am Lehrstuhl für Angewandte Mathematik 1, FAU
11/2008–11/2013 Wissenschaftlicher Mitarbeiter am Lehrstuhl für Angewandte Mathematik 1, FAU
04/2010–12/2011 Wissenschaftlicher Mitarbeiter am Lehrstuhl für Hydrogeologie, Universität Jena
11/2008–10/2009 Wissenschaftlicher Mitarbeiter am Lehrstuhl für Hydrogeologie, Universität Jena

Auszeichnungen und Preise

10/2020 Emmy-Noether-Preis für die Habilitation, Naturwissenschaftliche Fakultät, FAU
05/2017 Auszeichnung und Beförderung zum Senior Postdoctoral Research Associate, George R. Brown School of Engineering, Rice University, Houston, TX, USA

Reviewer und Gutachter für internationale Zeitschriften

Advances in Water Resources
Applied Mathematical Modelling
Computational Geosciences
Computers and Mathematics with Applications
Journal of Colloid and Interface Science
Journal of Computational Methods in Sciences and Engineering
Journal of Computational Physics
Numerical Algorithms
SIAM Journal of Applied Mathematics
SPE Journal (Society of Petroleum Engineers)

Redaktionsleitung

Gasteditor der künftigen Spezialausgabe „Advanced Modeling and Simulation of Flow in Subsurface Reservoirs with Fractures and Wells for a Sustainable Industry“ der Zeitschrift Oil & Gas Science and Technology — Revue d’IFP Energies nouvelles.

Übung (UE)

Vorlesung (VORL)

Hauptseminar (HS)

  • Der Einfluss von Kolloiden auf Wasserfluss und Stofftransport in Böden: Randaspekt oder Schlüsselprozess?

    (Drittmittelfinanzierte Einzelförderung)

    Laufzeit: 01-11-2006 - 31-12-2009
    Mittelgeber: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
    Abstract

    Soil colloids may influence the interaction between solutes and the immobile solid phase. A coupling to the fluid transport is possible by processes of sedimentation, flocculation, precipitation, filtration and deposition. The objective of this research project is the qualitative and quantitative examination of the crucial aspects of colloidal-influenced solute- and fluid transport by means of systematic, prognostic simulation. In detail,

    1. the attachment and detachment of colloids under consideration air-water interface of the soil,
    2. the transformation of the pore space and the thus induced coupling to the fluid transport in soil, and
    3. the transformation of the surface properties of the solid phase and the thus induced coupling to the solute transport

    have to be analyzed. The main hypothesis of this project states that the couplings incorporated in the model conception affect the praxis-relevant situations not only qualitatively, but also quantitatively in a significant way. The deterministic description of the physicochemical mechanisms on basis of the conservation laws for mass, impulse and energy results in systems of time-dependent non-linear partial differential equations. In order to make the model operative with respect to the problem formulation, one has to approximate it via numerical methods and to implement those in a software tool. For each level of complexity which has to be achieved, a comparison with existing experimental data has to be accomplished. In particular, these datasets have is to be used to obtain a realistic parametrization of the model via inverse modelling.

  • Modellierung des reaktiven Transports von Schadstoffen in der (un-)gesättigten Bodenzone zur Prognose der natürlichen Selbstreinigung

    (Drittmittelfinanzierte Gruppenförderung – Teilprojekt)

    Titel des Gesamtprojektes: Kontrollierter natürlicher Rückhalt und Abbau von Schadstoffen bei der Sanierung kontaminierter Böden und Grundwässer (BMBF Förderschwerpunkt KORA)
    Laufzeit: 01-04-2004 - 31-03-2007
    Mittelgeber: BMBF / Verbundprojekt
    Abstract

    The evaluation of the potential of contaminated sites concerning natural attenuation needs comprehensive process descriptions and accurate, reliable numerical algorithms. Numerical errors may lead to qualitatively completely wrong conclusions concerning the potential of the site for degradation. It has been developed a comprehensive and flexible simulation tool, that is outstanding concerning the variety of processes, the quality and efficiency of the calculations ensured by modern numerical methods as well as the usability. The existing software platform RICHY has been extended, which is already intensely and successfully used by universities, institutes and consultants for the simulation of reactive transport and parameter identification. Among previous modules for coupled sufactant transport, preferential, unsaturated flow or carrier facilitated transport the project could realize new model components that surpass most of all existing software packages. The extensions contain complete descriptions of microbially catalysed degradation with arbitrary reaction partners and inhibition, general multicomponent reactions including the effects of ionic strength, as well as mineral dissolution and precipitation. The efficient and highly accurate, newly developed mathematical solution algorithms for the resulting coupled systems of partial differential equations could show their quality in complex international benchmark studies. Locally mass conserving, mixed hybrid finite element discretisations of the flow problem have been combined with globally implicit, reactive multicomponent models. Novel reduction methods for the latter rely on the linear transformation of the equation systems and variables and lead to the consideration of conservation quantities which can be handled efficiently, as a part of the transport – reaction – equations decouples. Another approach that has been pursued simultaneously relies on a modified Newton method and results in efficiency enhancements by the neglection of coupling terms in the Jacobian matrix. This algorithm can be applied fully adaptively, in 1D as well as in 2D. Both approaches could be combined with adaptive techniques for the automatic, efficient choice of time steps and spatial grid sizes, which makes the calculation of these complex problems feasible on PCs.