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Research

In page navigation: Applied Mathematics 1
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    • Dr. Rufat Badal
    • Apratim Bhattacharya
    • Astrid Bigott
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    • Sebastian Czop
    • Prof. Dr. Günther Grün
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      • Multicomponent reactive transport
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Research

Projects  Reviewer Duties  Publications  Supervised Theses  Conference Talks

Research Profiles at Google Scholar and ResearchGate

Research Interests

Mathematics in the geosciences, in particular structure evolution in soils, modelling and simulation of reactive contaminant transport in porous media, evaluation of natural attenuation, geostatistics, efficient and accurate solution of hydrogeochemical multicomponent models.

Mathematics in biology, in particular spatio-temporal differential equation models of regulatory networks

Software development RICHY.

Subsequently you find information on projects I participated or lead (Volume of third-party funding as PI/Co-PI since 2015 approx. 1.176 M. Euro (2021)), publications, my review activities, supervised bachelor, master and diploma theses, and a list of talks at conferences.

Projects

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  • P25: Multiscale modeling with evolving microstructure: An approach to emergence in the rhizosphere
    via effective soil functions

    (Third Party Funds Single)

    Term: 01-11-2022 - 31-10-2025
    Funding source: DFG / Schwerpunktprogramm (SPP)
    Abstract

    To couple three interwoven areas of rhizosphere research “Processes, Methods and Applications”, we utilize and improve mechanistic, mathematical models in forms of combined cellular automata and PDE/ODE systems on the microscale, offering the opportunity to bridge scales by homogenization techniques. The
    systematic study of the interaction of transformation processes in the rhizosphere focussing on mucilage and root hairs, and its couplings to soil structure, geochemistry, microbiology, and to upscaled soil
    functions will contribute to the focal question of the PP, how resilience emerges from self-organised spatiotemporal pattern formation in the rhizosphere.

    In more detail:

    H1: The development of the selforganization in the rhizosphere in connection with the spatiotemporal
    patterns of nutrients, water and biomass can be studied with the realized extension of the existing model and simulation tool now in relation to the data of phase 1.

    H2: The connection between soil structure formation, habitat conditions - also influenced by the
    production and degradation of mucilage - and the microbial communities.

    H3: The size of the rhizosphere is determined by the radial extent of pattern formation controlled by root
    activity/morphology. We want to study in particular the interaction of soil structure (in particular porosity), root exudates and transport properties relevant for the plant. Thus we address the focal topics
    aggregate formation / soil structure with pore scale modeling and water flux / mucilage.

    We refer in particular to the following research questions of phase 2:

    III. How do carbon flow and structure interact (with P19, P22)?

    V. What is the relevance of mucilage for the soilplant system regarding drought resilience, but also mechanistic understanding for mucilage at the microscale - evidence for relevance at system scale, plant-soil system is still lacking (with P4,P5,P23,P24)

    VI. What is the mechanistic function of root hairs - quantify the maintenance of hydraulic continuity, the effect on nutrients uptake, and extension of depletion zones (with P7,P4)

    In close cooperation with the experimental partners we evaluate the interplay of the mechanisms in concrete PP rhizosphere settings, and will also refer to the spatiotemporal patterns identified by P21 from high resolution correlative imaging. The necessary basis for 3D simulations will be the parallelized, efficient algorithms, and machine learning techniques to systematically explore the upscaling of soil functions. The simulation tool delivers its value through the capability to illustrate, compare, and reveal influencing factors and mechanisms by abstracting relevant processes. It is not intended to ’redraw’ data curves of the experiments but to gain new insights through the ability to analyze separately, but also to study the interplay of several processes in an integrative simulation. Thus it intends to bridge a knowledge gap that laboratory experiments can currently not fill alone.

    →More information
  • Mechanistische, integrative Mehrskalenmodellierung der Umwandlung von Bodenmikroaggregaten

    (Third Party Funds Single)

    Term: 01-11-2019 - 31-10-2022
    Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
    →More information
  • Multiscale modeling with evolving microstructure: An approach to
    emergence in the rhizosphere via effective soil functions

    (Third Party Funds Group – Sub project)

    Overall project: DFG Priority Programme 2089 “Rhizosphere Spatiotemporal Organisation – a Key to Rhizosphere Functions”
    Term: 01-02-2019 - 31-01-2022
    Funding source: DFG / Schwerpunktprogramm (SPP)
    URL: https://www.ufz.de/spp-rhizosphere/index.php?en=46495
    Abstract

    The self-organization of the aggregates in the rhizosphere by various
    attracting forces influenced by geochemistry, and microbiology shall
    be studied by a novel, comprehensive model. This model should
    account for processes on the microscale (single roots, pore scale),
    and then be upscaled to the root system scale (macroscale) by
    mathematical homogenization. This goal exceeds the functional range
    of existing models for aggregation and needs the introduction of an
    explicit phase of mucilage, and attachment properties of root hairs in
    the rhizosheath. The project aims at the development of a mechanistic modeling approach that allows for dynamic structural reorganization of the rhizosphere at the single root scale and couples this evolving microscale model to the root system scale including the inference of soil functions. This means that we do not assume a static rhizosphere but develop a tool that is capable to dynamically track this zone on the basis of the underlying spatiotemporal aggregegate formation and geochemical patterns. The collaboration with experimental groups – analyzing CT images in various moisture and growth conditions - the Central Experiment will allow to derive the properties of the mucilage phase, the pore structure and thus the
    influence of root hairs on aggregation mechanisms.

    →More information
  • Mechanistic modelling of the formation and consolidation of soil microaggregates

    (Third Party Funds Group – Sub project)

    Overall project: DFG RU 2179 “MAD Soil - Microaggregates: Formation and turnover of the structural building blocks of soils”
    Term: 01-01-2016 - 31-12-2019
    Funding source: Deutsche Forschungsgemeinschaft (DFG)
    →More information
  • MPFA and MHFE methods for flow and transport in porous media

    (Third Party Funds Single)

    Term: 01-01-2012 - 31-12-2013
    Funding source: Deutscher Akademischer Austauschdienst (DAAD)
    Abstract

    Nonlinear (multiphase) flow and reactive multicomponent transport problems in highly heterogeneous porous media and their numerical simulation are of great interest for evaluating site remediation, energy exploitation or CO2 sequestration scenarios.   The resulting advection-diffusion-reaction-systems are coupled nonlinear parabolic partial differential equations, and we have parabolic or elliptic nonlinear flow equations, possibly degenerate. The development of convergent and efficient numerical schemes is very challenging and the mixed (hybrid) finite element method M(H)FEM and the multipoint flux approximation MPFA are powerful locally mass conservative choices. They offer also the advantage of continuous flux approximations over the element faces.  Analogies between the two techniques should help to prove order of convergence estimates and monotonicity for the multicomponent transport problems, but also for multiphase flow.  Furthermore numerical diffusion of the schemes should be quantified to assess the accuracy of the methods.  Simulation examples should include realistic scenarios on heterogeneous, log normally distributed random parameter fields.

    →More information
  • Development of filtration systems for air cleaning from nanoparticles, organic admixtures and bacteria with the help of numerical simulations

    (Third Party Funds Single)

    Term: 01-10-2009 - 30-09-2011
    Funding source: Bundesministerium für Bildung und Forschung (BMBF)
    Abstract

    The project was a cooperation of a group of applied mathematicians with the Russian company Aeroservice for the development and optimization of new photocatalytic filter systems for air cleaning of nanoparticles and organic substances with the help of mathematical simulation tools. For the simulation of aerosol transport in the filter made of polypropylene fibers, which is used in hospitals or airports, e.g., mathematical models and efficient solution algorithms had to be developed. These allow on the one hand to take stochastic components into account, as the heterogeneous conductivity distribution in the filter. On the other hand these methods were coupled with highly accurate computation schemes as mixed finite element methods, which guarantee local mass conservation for the transport processes. The design parameters of real experiments can be optimized with the help of such simulation tools and their sensitivity with respect to filter efficiency analysed. Among the used methods are particle filtration in porous media, based on the Darcy equation, and coupled Eulerian and Lagrangeian simulation of transport processes, including Monte Carlo approaches with given filter geometries.

    →More information
  • The Influence of Colloids on Water Flow and Solute Transport in Soils: Side Effect or Key Process?

    (Third Party Funds Single)

    Term: 01-11-2006 - 31-12-2009
    Funding source: 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.

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  • Modelling of the reactive transport of contaminants in the (un-)saturated zone for the prognosis of natural attenuation

    (Third Party Funds Group – Sub project)

    Overall project: Kontrollierter natürlicher Rückhalt und Abbau von Schadstoffen bei der Sanierung kontaminierter Böden und Grundwässer (BMBF Förderschwerpunkt KORA)
    Term: 01-04-2004 - 31-12-2008
    Funding source: 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.

    →More information
  • Development of a simulation tool for the prognosis of the spreading and the degradation of contaminants in the saturated and vadose zone

    (Third Party Funds Group – Sub project)

    Overall project: Nachhaltige Altlastenbewältigung unter Einbeziehung des natürlichen Reinigungsvermögens
    Term: 01-06-2001 - 31-05-2003
    Funding source: Bayerisches Staatsministerium für Umwelt und Gesundheit (StMUG) (bis 09/2013)
    URL: https://www.altlasten-bayern.de/projekte/verbundvorhaben-na/
    Abstract

    The project included the mathematical modelling of natural attenuation processes in the subsurface and the extension of a software tool for complex reactive multicomponent processes in the framework of mixed hybrid and conforming finite elements. New  parameter identification methods allow the parametrization of unknown functions or a formfree optimization, and help to overcome the dilemma of missing data in complex models. Work included instationary 3D simulations and scenarios of  contaminated sites explored by project partners. The findings of the joint research project resulted in guidelines for authorities and consulting engineers dealing with natural attenuation at contaminated sites.

    →More information
  • Quantification of Contaminant Sources and Transport Prognosis in Aquifers

    (Third Party Funds Group – Sub project)

    Overall project: BMBF Förderschwerpunkt Sickerwasserprognose
    Term: 01-01-2001 - 31-12-2004
    Funding source: Bundesministerium für Bildung und Forschung (BMBF)
    Abstract

    Mathematical simulation tools allow the quantitative integration of competing transport and transformation processes which are relevant for a seepage water risk prognosis. Therefore model simulations have to contain a comprehensive process description, while they can serve for parameter identification by inverse modelling of suitable column or batch experiments, and allow to quantify the dependence of a key variable on parameters through a simultaneous sensitivity analysis. The software platform RICHY1D has been extended and is already intensively and successfully used in universities, institutes and by consultants for the 1D simulation of complex reactive transport and for parameter identification. It stands out by the application of efficient and highly accurate mathematical solution strategies for the resulting systems of partial differential equations (e.g. locally mass conserving mixed hybrid finite element discretisations, modified Newton’s method). Besides the formerly existing modules for coupled surfactant-water transport, multiphase flow, saturated-unsaturated flow or carrier facilitated transport, the extensions contain in particular source terms (boundary conditions, distributed sources, arbitrarily time dependent, nonlinear and multiple (de-)sorption kinetics, mobilisation from a residual NAPL phase), preferential flow with solute transport, and heat transport in soils with coupling to reaction parameters of the contaminant transport like Monod degradation parameters, e.g.. The parameter identification is possible for the model extensions as well, which allows the identification of multiple complex parametrizations from suitable experiments (for example for source terms or microbially mediated degradation, sorption characteristics and hydraulic parameters). There is no need to impose a certain functional shape of these nonlinearities, the so-called form-free identification is also feasible, and furthermore a closed-flow experiment design can be accounted for. The sensitivity analysis is provided separately for the evaluation of the dependence of a key variable like the concentration of arbitrary model parameters, what represents a powerful tool in a transport simulation to identify controlling factors and evaluate uncertainties of the data.

    →More information

Publications

2022

  • Schnepf A., Carminati A., Ahmed M., Ami M., Benard P., Bentz J., Bonkowski M., Brax M., Diehl D., Duddek P., Kröner E., Javaux M., Landl M., Lehndorff E., Lippold E., Lieu A., Müller CW., Oburger E., Otten W., Portell-Canal X., Phalempin M., Prechtel A., Schulz R., Vanderborght J., Vetterlein D.:
    Linking rhizosphere processes across scales: Opinion
    In: Plant and Soil (2022)
    ISSN: 0032-079X
    DOI: 10.1007/s11104-022-05306-7
    URL: https://link.springer.com/article/10.1007/s11104-022-05306-7
    BibTeX: Download
  • Zech S., Ritschel T., Ray N., Totsche KU., Prechtel A.:
    How water connectivity and substrate supply shape the turnover of organic matter – Insights from simulations at the scale of microaggregates
    In: Geoderma 405 (2022), Article No.: 115394
    ISSN: 0016-7061
    DOI: 10.1016/j.geoderma.2021.115394
    BibTeX: Download
  • Zech S., Schweizer SA., Bucka FB., Ray N., Kögel-Knabner I., Prechtel A.:
    Explicit spatial modeling at the pore scale unravels the interplay of soil organic carbon storage and structure dynamics
    In: Global Change Biology (2022)
    ISSN: 1354-1013
    DOI: 10.1111/gcb.16230
    BibTeX: Download

2021

  • Suciu N., Illiano D., Prechtel A., Radu AF.:
    Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media
    In: Advances in Water Resources 152 (2021), Article No.: 103935
    ISSN: 0309-1708
    DOI: 10.1016/j.advwatres.2021.103935
    BibTeX: Download

2020

  • Alecsa CD., Boros I., Frank F., Knabner P., Nechita M., Prechtel A., Rupp A., Suciu N.:
    Numerical benchmark study for flow in highly heterogeneous aquifers
    In: Advances in Water Resources (2020), p. 103558
    ISSN: 0309-1708
    DOI: 10.1016/j.advwatres.2020.103558
    BibTeX: Download
  • Zech S., Dultz S., Guggenberger G., Prechtel A., Ray N.:
    Microaggregation of goethite and illite evaluated by mechanistic modeling
    In: Applied Clay Science 198 (2020), Article No.: 105845
    ISSN: 0169-1317
    DOI: 10.1016/j.clay.2020.105845
    BibTeX: Download

2019

  • Rupp A., Guhra T., Meier A., Prechtel A., Ritschel T., Ray N., Totsche KU.:
    Application of a cellular automaton method to model the structure formation in soils under saturated conditions: A mechanistic approach
    In: Frontiers in Environmental Science 7 (2019)
    ISSN: 2296-665X
    DOI: 10.3389/fenvs.2019.00170
    URL: https://www.frontiersin.org/articles/10.3389/fenvs.2019.00170/abstract
    BibTeX: Download

2018

  • Marx A., Conrad M., Aizinger V., Prechtel A., van Geldern R., Barth J.:
    Groundwater data improve modelling of headwater stream CO2 outgassing with a stable DIC isotope approach
    In: Biogeosciences 15 (2018), p. 3093-3106
    ISSN: 1726-4170
    DOI: 10.5194/bg-15-3093-2018
    URL: https://www.biogeosciences.net/15/3093/2018/
    BibTeX: Download
  • Rupp A., Totsche KU., Prechtel A., Ray N.:
    Discrete-Continuum Multiphase Model for Structure Formation in Soils Including Electrostatic Effects
    In: Frontiers in Environmental Science 6 (2018), Article No.: 96
    ISSN: 2296-665X
    DOI: 10.3389/fenvs.2018.00096
    BibTeX: Download
  • Totsche KU., Amelung W., Gerzabek MH., Guggenberger G., Klumpp E., Knief C., Lehndorff E., Mikutta R., Peth S., Prechtel A., Ray N., Kögel-Knabner I.:
    Microaggregates in Soils
    In: Journal of Plant Nutrition and Soil Science 181 (2018), p. 104-136
    ISSN: 1436-8730
    DOI: 10.1002/jpln.201600451
    URL: http://onlinelibrary.wiley.com/doi/10.1002/jpln.201600451/full
    BibTeX: Download

2017

  • Ray N., Rupp A., Prechtel A.:
    Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media
    In: Advances in Water Resources 107 (2017), p. 393-404
    ISSN: 0309-1708
    DOI: 10.1016/j.advwatres.2017.04.001
    BibTeX: Download

2013

  • Suciu N., Radu AF., Prechtel A., Brunner F., Knabner P.:
    A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity
    In: Journal of Computational and Applied Mathematics 246 (2013), p. 27-37
    ISSN: 0377-0427
    DOI: 10.1016/j.cam.2012.06.027
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2013/2013_SuciuRaduPrechtelBrunnerKn_ACoupledFiniteElementGlobalRandomWalkApproach
    BibTeX: Download

2008

  • Knabner P., Frank F., Hoffmann J., Kräutle S., Oßmann S., Prechtel A.:
    Entwicklung, Zuverlässigkeit und Effizienz reaktiver Mehrkomponententransportmodelle
    In: KORA - Synopse "Systemanalyse, Modellierung und Prognose der Wirkungen natürlicher Schadstoffminderungsprozesse - eine rezente Synopse", 2008, p. 195-233 (Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrum e.V. und seiner Partner, Vol.5)
    BibTeX: Download
  • Luckner T., Sommer T., Luckner L., Bilek F., Knabner P., Prechtel A.:
    Grundlagen der Systemanalyse, Modellierung und Prognose
    In: KORA - Synopse "Systemanalyse, Modellierung und Prognose der Wirkungen natürlicher Schadstoffminderungsprozesse - eine rezente Synopse", 2008, p. 1-81 (Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrum e.V. und seiner Partner, Vol.5)
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2008/2008_LucknerSommerLucknerBilekKnPrechtel_GrundlagenDerSystemanalyseModellierungUndPrognose
    BibTeX: Download
  • Radu AF., Bause M., Prechtel A., Attinger S.:
    A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media
    In: Kunisch K., Of G., Steinbach O. (ed.): Numerical Mathematics and Advanced Applications, Berlin, Heidelberg: 2008
    BibTeX: Download

2006

  • Prechtel A., Bitterlich S., Radu AF., Knabner P.:
    Natural Attenuation: hohe Anforderungen an die Modellsimulation Teilprojekt 6 des BayFoNA: Modellierung
    In: Grundwasser 11 (2006), p. 217-225
    ISSN: 1430-483X
    DOI: 10.1007/s00767-006-0147-6
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2006/2006_PrechtelBitterlichRaduKn_NaturalAttenuationHoheAnforderAnModellSimulation
    BibTeX: Download
  • Prechtel A., Hoffmann J., Kräutle S., Knabner P.:
    Reaktive Mehrkomponentenprobleme: Sicherung von Effizienz und Zuverlässigkeit
    In: Modellierung und Prognose von Natural Attenuation-Prozessen im Untergrund, Dresden: , 2006, p. 75-90 (Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrum e.V. und seiner Partner, Vol.3)
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2006/2006_PrechtelHoffmannKraeutleKn_ReaktiveMehrKomponentenProblemeEffizienzUndZuverlaessigkeit
    BibTeX: Download

2005

  • Knabner P., Kräutle S., Oßmann S., Prechtel A.:
    Modellierung des reaktiven Transports von Schadstoffen in der (un-)gesättigten Bodenzone zur Prognose der natürlichen Selbstreinigung - Komplexe Probleme berechenbar machen
    In: Dechema (ed.): Statusseminar Forschungsverbund KORA - Kontrollierter natürlicher Rückhalt und Abbau von Schadstoffen bei der Sanierung kontaminierter Grundwässer und Böden, Frankfurt a. M.: , 2005, p. 417-427
    ISBN: 389746071X

    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2005/2005_KnKraeutleOssmannPrechtel_Proj73ModellDesReaktTranspVonSchadstInDer(un)gesättBodenzonePrognSelbstreinig
    BibTeX: Download
  • Kräutle S., Bause M., Prechtel A., Radu AF., Knabner P.:
    ParRichy: Parallel Simulation of Bioreactive Multicomponent Transport Processes in Porous Media
    In: Arndt Bode, Franz Durst (ed.): High Performance Computing in Science and Engineering, Garching 2004, Berlin, Heidelberg: Springer, 2005, p. 181-192
    ISBN: 978-3-540-26145-2

    DOI: 10.1007/3-540-28555-5_16
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2005/2005_KraeutleBausePrechtelRaduKn_ParRichyParallSimulOfBioreactMulticompTrnsptProcessInPM
    BibTeX: Download
  • Prechtel A.:
    Modelling and Efficient Numerical Solution of Hydrogeochemical Multicomponent Transport Problems by Process-Preserving Decoupling Techniques
    Aachen: Shaker, 2005
    ISBN: 3-8322-4295-3
    BibTeX: Download

2004

  • de Fouquet C., Prechtel A., Setier JC.:
    Estimation of the total hydrocarbon concentration in the soil of a former petrochemical site: Methodological study
    In: Oil & Gas Science and Technology-Revue De L Institut Francais Du Petrole 59 (2004), p. 275-295
    ISSN: 1294-4475
    DOI: 10.2516/ogst:2004020
    BibTeX: Download

2003

  • Knabner P., Bitterlich S., Iza Teran R., Prechtel A., Schneid E.:
    Influence of Surfactants on Spreading of Contaminants and Soil Remediation
    In: Willi Jäger, Hans-Joachim Krebs (ed.): Mathematics - Key Technology for the Future, Berlin, Heidelberg: Springer, 2003, p. 152-161
    ISBN: 978-3-642-62914-3

    DOI: 10.1007/978-3-642-55753-8_12
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2003/2003_KnBitterlichTeranPrechtelSchneid_InfluOfSurfactOnSpreadOfContaminSoilRemed
    BibTeX: Download

2002

  • Prechtel A., Knabner P.:
    Accurate and efficient simulation of coupled water flow and nonlinear reactive transport in the saturated and vadose zone-application to surfactant enhanced and intrinsic bioremediation
    In: S. Majid Hassanizadeh, Ruud J. Schotting, William G. Gray and George F. Pinder (ed.): Computational Methods in Water Resources, 2002, p. 687-694 (Computational Methods in Water Resources, Proceedings of the XIV International Conference on Computational Methods in Water Resources (CMWR XIV), Vol.47)
    ISBN: 978-0-444-50975-8

    DOI: 10.1016/S0167-5648(02)80125-3
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_PrechtelKn_AccurEfficSimuOfCouplWaterFlow+nonlinReactTransp
    BibTeX: Download
  • Prechtel A., Knabner P., Schneid E., Totsche KU.:
    Simulation of carrier-facilitated transport of phenanthrene in a layered soil profile
    In: Journal of Contaminant Hydrology 56 (2002), p. 209-225
    ISSN: 0169-7722
    DOI: 10.1016/S0169-7722(01)00211-X
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_PrechtelKnSchneidTotsche_SimulationOfCarrFaciTrnasportOfPhenanInALayerSoilProfile
    BibTeX: Download

2000

  • Schneid E., Prechtel A., Knabner P.:
    A comprehensive tool for the simulation of complex reactive transport and flow in soils
    In: Land Contamination and Reclamation 8 (2000), p. 357-365
    ISSN: 0967-0513
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2000/2000_SchneidPrechtelKn_AComperToolForTheSimulaOfComplexReactiveTransport
    BibTeX: Download

1998

  • Prechtel A.:
    La pollution d'un site par des hydrocarbures - aspects de la modélisation hydrogéologique et étude géostatistique (Diploma thesis, 1998)
    BibTeX: Download

1997

  • Prechtel A.:
    Die Schätzung von Variogrammen durch Betrachtung ihrer Integrale (Diploma thesis, 1997)
    BibTeX: Download

Reviews

for the Agence Nationale de Recherche in France, and the following journals: BioSystems, Computer Methods in Applied Mechanics and Engineering, Environmental Pollution, Environmental Science & Technology, Geoderma, International Journal for Numerical Methods in Fluids,  Nonlinear Analysis: Real World Applications, and Plant and Soil.

Theses that I have supported / supervised / evaluated:

Diploma theses:

Kastner, Stephan: “Mathematische Modellierung und numerische Simulation von Selbstreinigungsprozessen” February 2002

Oßmann, Stephan: “Mathematische Modellierung und numerische Simulation von präferenziellem Fließen mit Stofftransport in strukturierten porösen Medien“, June 2004

Schumann, Robert: “Operator Splitting und voll gekoppelte Lösungsalgorithmen für Transport-Reaktionssysteme in porösen Medien“, May 2006

Frank, Florian: “Hydrogeochemical multi-component transport – mineral dissolution and precipitation with consideration of porosity changes in variably-saturated porous media“, 2008

Bachelor theses:

Hutter, Jana: “Die Adsorptions-Advektions-Dispersionsgleichung“, 2009

Rupp, Andreas: “Numerische Studien zur Strukturbildung in Böden durch Mineralreaktionen“, 2014

Clarner, Jan-Patrick: “Modellierung und Simulation der Bildung und Transformation von Aggregaten in Böden“, 2016

Conrad, Marcus: “Integration von Reaktionstermen in das 1D-Flachwassermodell basierend auf dem Discontinuous-Galerkin-Verfahren“, 2016 (Integrated Life Sciences)

Klingberg, Tim: “Charakterisierung des stationären Eingangs-/Ausgangsverhaltens von Doppelphosphorylierungszyklen“, 2017 (Integrated Life Sciences)

Pindl, Kathrin: “Charakterisierung des Eingangs-/Ausgangsverhaltens der MAP Kinase Kaskade“, 2017 (Integrated Life Sciences)

Möckel, Marianna: “Einfluss der Autoregulation auf das dynamische Verhalten von Zwei-Komponenten Systemen“, 2017 (Integrated Life Sciences)

Eckstein, Nadja: “Charakterisierung der dynamischen Regulation von SCF Ligasen durch CAND1“, 2017 (Integrated Life Sciences)

Hermann, Anne: “The influence of a symmetric boundary condition on the effective diffusion tensor of a soil column calculated by homogenisation“, 2022 (Mathematics)

Master theses:

Hutter, Jana: “Spatio-temporal modelling of cell cycle control“, 2011

Pérez Pardo, Beatriz: “Mathematical modeling and simulation of a microfluidic reactor. From real application towards a 2D computer simulation“, August 2012 (Computational Engineering)

Eckstein, Nadja: “Mathematical Modelling and Simulation of the Influence of Extracellular Polymeric Substances on Microaggregate Formation in Soils“, November 2018 (Integrated Life Sciences)

Tapia Schulze, Lorenzo: “Mathematical Modeling and Simulation of the chemotactic movement of neutrophils in inflammatory environments“, September 2022 (Computational and Applied Mathematics)

Talks:

  • “A Comprehensive Tool for the Simulation of Complex Reactive Transport and Flow in Soils”.
    XXV General Assembly of the European Geophysical Society (EGS), April 25-29, 2000, Nice, France.
  • “Accurate and Efficient Simulation of Coupled Water Flow and Nonlinear Reactive Transport in the Saturated and Vadose Zone – Application to Surfactant Enhanced and Intrinsic Bioremediation”.
    Computational Methods in Water Resources XIV, June 23-28, 2002, Delft, The Netherlands.
  • “Entwicklung einer Simulationssoftware zur Prognose von Schadstoffausbreitung und -abbau in der (un-)gesättigten Bodenzone”.
    Workshop Forschungsverbundvorhaben “Nachhaltige Altlastenbewältigung unter Einbeziehung des natürlichen Reinigungsvermögens”, July 18-19, 2002, Freising, Germany.
  • Talks on “Mikrobiologie”, “Hydrochemie” and “Modellierung”.
    Workshop Forschungsverbundvorhaben “Nachhaltige Altlastenbewältigung unter Einbeziehung des natürlichen Reinigungsvermögens”, February 20-21, 2003, Freising, Germany.
  • “Modelling and numerical simulation of variably saturated flow and coupled reactive, biogeochemical transport”.
    Workshop on Modeling and Simulation in Chemical Engineering, June 30 – July 4, 2003, Coimbra, Portugal.
  • “Abbaukinetiken: Möglichkeiten der Modellierung und Simulation”.
    BMBF-Förderschwerpunkt KORA (Kontrollierter natürlicher Rückhalt und Abbau von Schadstoffen bei der Sanierung kontaminierter Grundwässer und Böden), Fachgespräch Mikrobiologie, September 18-19, 2003, Karlsruhe, Germany.
  • “Handlungsempfehlung: Schwerpunkt Modellierung”.
    Symposium Natürliches Reinigungsvermögen – Natural Attenuation, Landesamt für Umweltschutz, November 10-11, 2003, Augsburg, Germany.
  • “Modeling and Simulation of Reactive Multicomponent Transport: Model Equations and Efficient Solution Concepts”.
    Workshop Porous Media, Zentrum für Angewandte Geowissenschaften, December 2-3, 2004, Blaubeuren, Germany.
  • “Efficient Modified Newton’s Method for Solving Reactive Multicomponent Transport Problems in Porous Media”.
    SIAM Conference on Mathematical and Computational Issues in the Geosciences, June 6-10, 2005, Avignon, France.
  • “Grundlagen und Modellierung der Schadstoffausbreitung im Boden”.
    DECHEMA-Arbeitskreis “Auswirkungen von Stoff- und Energiefreisetzungen”, November 3, 2005, Frankfurt am Main, Germany.
  • “Große Mehrkomponentenprobleme berechenbar machen: Reduktion der Komplexität”.
    2. BMBF Statusseminar KORA, November 22-23, 2005, Frankfurt am Main, Germany.
  • “Grundlagen und Stolpersteine der Modellierung in der Altlastenbearbeitung”.
    BEW-Seminar “Numerische Modelle als Instrument in der Altlastenbearbeitung”, 31. Mai 2006, Duisburg, Germany
  • “Efficient process-preserving modified Newton’s method for solving reactive multicomponent transport problems in porous media”.
    Workshop on simulation, modelling and numerical analysis, September 18-20, 2006, Liberec, Czech Republic.
  • “Efficient process-preserving and adaptive modified Newton’s method for solving reactive multicomponent transport problems in porous media”.
    6th International Congress on Industrial and Applied Mathematics, July 16-20, 2007, Zurich, Switzerland.
  • “Modellierung als Werkzeug zur Prozessidentifikation und -quantifizierung von NA-Prozessen sprengstofftypischer Verbindungen”.
    Abschließendes BMBF-Statusseminar des TV5 “Rüstungsaltlasten” – KORA, 17.-18. Juni 2008, Berlin, Germany.
  • “An adaptive, process-preserving modified Newton’s method to solve reactive multicomponent transport problems efficiently”.
    5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), June 30 – July 5, 2008, Venice, Italy.
  • “Efficient and Reliable Simulation of Reactive Multicomponent Problems”.
    Bio-Geo-Kolloquium Friedrich-Schiller-Universität Jena, December 16, 2008.
  • “Adaptive, Selective Coupling of Multicomponent Transport and Kinetic Reactions”.
    SIAM Conference on Mathematical and Computational Issues in the Geosciences, June 15 – 18, 2009, Leipzig, Germany.
  • “Identification of biogeochemical degradation parameters of propylene glycol by complex modelling”.
    Computational Methods in Water Resources XIX, June 17-21, 2012, Urbana-Champaign, Illinois, USA.
  • “Spatio-Temporal Modelling of Cell Cycle Control”.
    SIAM Conference on the Life Sciences, August 7 – 10, 2012, San Diego, California, USA.
  • “Solving Coupled Reactive Multicomponent Problems in Geosciences and Biology”, May 30, 2013, University of Bergen, Norway.
  • “Mechanistic Modeling of the Formation and Consolidation of Soil Microaggregates”, SIAM Conference on Mathematical and Computational Issues in the Geosciences, June 29 – July 2, 2015, Stanford, California, USA.
  • “Process-based Modelling of the Formation and Consolidation of Soil Microaggregates”.
    Computational Methods in Water Resources XXI, June 20-24, 2016, Toronto, Canada.
  • “Hybrid Discrete-Continuum Modeling for Transport, Biofilm Development and Solid Restructuring including Electrostatic Effects”.
    General Assembly of the European Geophysical Union, April 23-28, 2017, Vienna, Austria.
  • “Mechanistic Model for Transport, Biofilm Development and Solid Restructuring in Soil Microaggregates”.
    Workshop on Formation, Properties and Function of Soil Microaggregates, October 10-12, 2017, Munich.
  • “Linking Processes to Structure and Structure to Function: Hybrid Discrete-Continuum Modeling forMicroaggregate Formation”.
    General Assembly of the European Geophysical Union, April 8-13, 2018, Vienna, Austria.
  • “Discrete-Continuum Multiscale Model for Evolving Microaggregates in Porous Media”.
    PICO Presentation, General Assembly of the European Geophysical Union, April 8-13, 2018, Vienna, Austria.
  • “Hybrid cellular automata / PDE modeling  for solid restructuring including EPS“, Computational Methods in Water Resources XXII, June 3-7, 2018, St. Malo, France.
  • „Hybrid Cellular Automata / PDE Modeling for Self-organisation of Soil Microaggregate Structures“, SIAM Conference on Mathematical and Computational Issues in the Geosciences, March 11 – 14, 2019, Houston, Texas, USA.
  • “Microaggregation of goethite and illite: Linking mechanistic modeling and laboratory experiments”,

    Online Presentation, General Assembly of the European Geophysical Union, May 4-8, 2020, Vienna, Austria.

  • „Evaluating the Interaction of Biofilms, Organic Matter and Soil Structures at the pore scale“,

    Online Presentation, at 3rd ISMC Conf. on Advances in Modeling Soil Systems, May 18-21; and at InterPore 2021, 13th General Assembly, May 31- June 4, 2021.

  • „Process-based, mechanistic modeling of dynamic structures at the pore scale“, Goldschmidt Conference, July 10-15, 2022, Honolulu, Hawaii, USA.
  • „Soils in silico – process-based modeling of dynamic structures at the pore scale“, 22nd World Congress of Soil Science, July 31- August 5, 2022, Glasgow, UK.
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