Download Publications Dieter Bothe

Publications Prof. Dr. Dieter Bothe

submitted

  • D. Bothe, G. Rolland: Global existence for a class of reaction-diffusion systems with mass action kinetics and concentration-dependent diffusivities
  • H. Marschall, S. Boden, C. Lehrenfeld, C. J. Falconi Delgado, M. Wörner, A. Reusken, D. Bothe: Validation of interface capturing and tracking techniques with different surface tension treatments against a Taylor bubble benchmark problem
  • D. Bothe, A. Fischer, J. Saal: Global well-posedness and stability of electro-kinetic flowsaccepted, SIAM Journal on Mathematical Analysis
  • A. Ali, D. Bothe: A graph-theoretical approach for the computation of connected iso-surfaces based on volumetric data
  • C. Albert, D. Bothe, A. Tezuka: Global linear stability analysis of falling films with in- and outlet
  • D. Weirich, M. Köhne, D. Bothe: Efficient computation of flow around single fluid particles using an artificial boundary condition
  • T. Maric, H. Marschall, D. Bothe: voFoam – A geometrical Volume of Fluid algorithm on arbitrary unstructured meshes with local dynamic adaptive mesh refinement using OpenFOAM

2013

  • T. Maric, H. Marschall, D. Bothe: voFoam – A geometrical Volume of Fluid algorithm on arbitrary unstructured meshes with local dynamic adaptive mesh refinement using OpenFOAM arXiv:1305.3417
  • X. Chen, H. Marschall, M. Schäfer, D. Bothe: A comparison of different methods for viscoelastic flow simulation accepted, Int. J. Heat and Mass transfer
  • C. Albert, H. Marschall, D. Bothe: Direct numerical simulation of interfacial mass transfer into falling filmsaccepted, International Journal of Heat and Mass Transfer
  • N. Roth, C. Mercadé, H. Gomaa, C. Focke, D. Bothe, I. Roisman, B. Weigand: Collision of Droplets: Experimental, Analytical and Numerical Approach, ILASS 2013, Chania Crete, September 2013
  • K. Dieter-Kissling, H. Marschall, D. Bothe: An Object Oriented Model Library for Surfactant Sorption Processes in the Interface-Tracking Framework of OpenFOAM, Euromech Colloquium 555, Bordeaux, France, August 2013.
  • T. Marić, H. Marschall, D. Bothe: An Object Oriented Validation Library for Two-Phase DNS Algorithms, Euromech Colloquium 555, Bordeaux, France, August 2013
  • K. Dieter-Kissling, H. Marschall, D. Bothe: An Object Oriented Model Library for Surfactant Sorption Processes in the Interface-Tracking Framework of OpenFOAM, Euromech Colloquium 555, Bordeaux, France, August 2013.
  • D. Bothe, M. Köhne, J. Prüss: Energy preserving boundary conditions for the Navier-Stokes system SIAM J. Math. Anal. (to appear; cf. arXiv:1207.0707).
  • S. Fleckenstein, D. Bothe: Simplified modeling of the influence of surfactants on the rise of bubbles in VOF-SimulationsChemical Engineering Science, 102, 514-523, 2013; doi:http://dx.doi.org/10.1016/j.ces.2013.08.033
  • T. Marić, H. Marschall, D. Bothe: On Adaptive Mesh Refinement for a 3D Geometrical Volume of Fluid Transport Algorithm on Unstructured Meshes using OpenFOAM, Jeju, Korea, May 2013.
  • K. Dieter-Kissling, H. Marschall, D. Bothe: Direct Numerical Simulation of droplet formation processes under the influence of multiple surfactants, Jeju, Korea, May 2013.
  • C. Focke, H. Marschall, D. Bothe: Investigations of elementary spray processes by means of Direct Numerical Simulations: Interaction of viscous and non-Newtonian droplets (ICMF2013), Jeju, Korea, May 2013.
  • D. Bothe, S. Fleckenstein: A Volume-of-Fluid-based method for mass transfer processes at fluid particlesChemical Engineering Science, 101, 283-302, (2013),
  • K. Dieter-Kissling, M. Karbaschi, H. Marschall, A. Javadi, R. Miller and D. Bothe: On the Applicability of Drop Profile Analysis Tensiometry at High Flow Rates Using an Interface Tracking Method Colloids Surfaces A (appeared online); doi:10.1016/j.colsurfa.2012.10.047
  • C. Ma, D. Bothe: Numerical modeling of thermocapillary two-phase flows using a two-scalar approach for heat transfer J. Comp. Physics; 233, 552-573 doi:10.1016/j.jcp.2012.09.011 (2013)
  • C. Focke, M. Kuschel, M. Sommerfeld, D. Bothe: Computational and Experimental Analysis of Binary Collisions of Non-Isoviscous Liquid Droplets, Int. J. Multiphase Flow 56, 81-92 (2013).

2012

  • D. Bothe: Mathematical Modeling and Direct Numerical Simulation of Transport Processes at Fluidic Interfaces, Chemical Engineering of Japan, 76 (6),320-325 (2012)
  • D. Bothe, M. Pierre, G. Rolland: Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction, Comm. PDE 37 (11), 1940-1966 (2012)
  • C. Focke, D. Bothe: Direct Numerical Simulation of binary off-center collisions of shear thinning droplets at high Weber numbers Physics of Fluids, 24, 073105 (2012)
    • Copyright (2012) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in C. Focke and D. Bothe., Phys. Fluids 24, 073105 (2012) and may be found at http://link.aip.org/link/?phf/24/073105
  • D. Bothe, P. Wittbold: Abstract reaction-diffusion systems with m-completely accretive diffusion operators and measurable reaction rates Communications on Pure and Applied Analysis 11 (6), 2239-2260 (2012)
  • C. Focke, D. Bothe, M. Kuschel, M. Sommerfeld: Experiments and Direct Numerical Simulations of binary collisions of miscible liquid droplets with different viscosities. 12th Triennial Int. Conf. on Liquid Atomization and Spray Systems (ICLASS2012), Heidelberg, Germany, September 2012.
  • C. Albert, D. Bothe: Influence of surface tension models on the hydrodynamics of wavy laminar falling films in Volume of Fluid-simulations International Journal of Multiphase Flow, Volume 43, 66-71 (2012)
  • C. Focke, D. Bothe: Direkte Numerische Simulation binärer Kollisionen scherverdünnender Tropfen Chemie und Ingenieurtechnik, 84 (1/2), 1-7 (2012)
  • D. Bothe, M. Pierre: The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction Discrete Continuous Dynamical Systems – Series S 5 (1), 49-59 (2012)
  • S. Fleckenstein, M. Kröger, D. Bothe: Numerical model of mass transfer from deformable gas bubbles using an unsplit 3D subgrid scale model, 6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries (F.-P. Schindler, ed.), VDI, Reihe 3, Nr. 929, VDI-Verlag Düsseldorf 2012
  • K. Kissling, H. Marschall, D. Bothe: Direct Numerical Simulation of Multicomponent Surfactant Transport on Fluid Interfaces, 6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries (F.-P. Schindler, ed.), VDI, Reihe 3, Nr. 929, VDI-Verlag Düsseldorf 2012

2011

  • U. D. Kück, M. Kröger, M. Schlüter, N. Räbiger, D. Bothe, H.-J. Warnecke: Skalenübergreifende Beschreibung der Transportprozesse bei Gas /Flüssig-Reaktionen, Chemie und Ingenieurtechnik 83 (7), 1084-1095 (2011)
  • D. Bothe, A. Lojewski, H.-J. Warnecke: Fully resolved numerical simulation of reactive mixing in a T-shaped micromixer using parabolized species equations Chemical Engineering Science, Volume 66, Issue 24, pp. 6424-6440
  • D. Bothe: Mathematical Modeling and Direct Numerical Simulation of Transport Processes at Fluidic Interfaces, 1st Int. Symposium on Multiscale Multiphase Process Engineering, Kanazawa, Japan, Oktober 2011
  • C. Ma, D. Bothe: Direct Numerical Simulation of Thermocapillary Flow Based on the Volume of Fluid Method, International Journal of Multiphase Flow, Int. J. Multiphase Flow 37, 1045-1058 (2011)
  • C. Focke, D. Bothe: Computational Analysis of Binary Collisions of shear-thinning DropletsJournal of Non-Newtonian Fluid Mechanics, Volume 166, Issues 14-15, pp.799–810
  • S. Fleckenstein, D. Bothe: Modeling and 3D Simulation of Physical Mass Transfer at single rising gas bubbles for realistic Schmidt, paper-163, Proc. CFD2011, Trondheim, ISBN 978-82-519-2811-3
  • C. Focke, D. Bothe: Towards a computational analysis of binary collisions of shear-thinning droplets, Proc. 24th European Conf. on Liquid Atomization and Spray systems (ILASS), Estoril, Portugal, September 2011
  • C. Focke, D. Bothe: Towards a computational analysis of binary collisions of shear-thinning droplets, paper-158, Proc. CFD2011, Trondheim, ISBN 978-82-519-2811-3.
  • J. Schlottke, P. Rauschenberger, B. Weigand, C. Ma, D. Bothe: Volume of Fluid Direct Numerical Simulation of heat and mass transfer using sharp temperature and concentration fields, Proc. 24th European Conf. on Liquid Atomization and Spray systems (ILASS), Estoril, Portugal, September 2011
  • D. Bothe: On the Maxwell-Stefan approach to multicomponent diffusion Progress in Nonlinear Differential Equations and their Applications, Springer, Basel, pp. 81-93
  • D. Bothe, M. Kröger, H.-J. Warnecke: A VOF-Based Conservative Method for the Simulation of Reactive Mass Transfer from Rising Bubbles Fluid Dynamics & Materials Processing, vol. 7, no. 3, pp. 303-316
  • D. Bothe, M. Pierre: The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction

2010

2009

  • A. Alke, D. Bothe: 3D Numerical Modeling of Soluble Surfactant at Fluidic Interfaces Based on the Volume-of-Fluid Method Fluid Dynamics & Materials Processing, Vol. 5, (4), 345-372, (2009) Doi:10.3970/fdmp.2009.005.345
  • D. Bothe, M. Kröger, A. Alke, H.-J. Warnecke: VOF-based simulation of conjugate mass transfer from freely moving fluid particles pp. 157-168 in Computational Methods in Multiphase Flow V (A.A. Mammoli, C.A. Brebbia, eds.), WIT Press, Southampton (2009)
  • D. Bothe, M. Kröger, A. Alke, H.-J. Warnecke: VOF-based simulation of reactive mass transfer across deformable interfaces Progress in CFD 9 (6/7), 325-331 (2009) DOI: 10.1504/PCFD.2009.027363
  • D. Bothe: Microfluidic Modules: Calculations and Simulations. Chapter 7 in Microchemical Engineering in Practice (T. Dietrich, ed.), Jon Wiley & Sons 2009

2008

2007

2006

2005

2004

2003

2002

2001

2000

  • D. Bothe: The instantaneous limit of a reaction-diffusion system Evolution Equations and Their Applications in Physical and Life Sciences(G. Lumer, L. Weis eds). Physical and Lect. Notes Pure Appl. Math. 215, 215-224. Marcel Dekker (2000)
  • M. Motzigemba, D. Bothe, H.-C. Broecker, J. Prüss, H.-J. Warnecke: A contribution to simulation of mixing in screw extruders employing commercial CFD-software pp. 297-304 in Proc. 10th European Conf. on Mixing, Delft 2000 (H.E.A. van den Akker, J.J. Derksen eds). Elsevier (2000)
  • D. Bothe, T. Waatsack, H.-J. Warnecke: Kinetic modeling of simultaneous phosphate precipitation in municipal sewage treatment plants Chem. and Eng. Tech. 23, 670-674 (2000).

1999

  • D. Bothe: Periodic solutions of non-smooth friction oscillators Z. Angew. Math. Phys. 50, 779-808 (1999)
  • D. Bothe, T. Waatsack, H.-J. Warnecke: Kinetic modeling of simultaneous phosphate precipitation in municipal sewage treatment plants, Chem. and Eng. Tech. 23, 670-674 (2000). Deutsche Fassung in CIT 71, 1421-1425 (1999).
  • D. Bothe, J. Prüss: Dynamics of a core-shell reaction-diffusion system. Commun.Partial Differential Equations 24, 463-497 (1999).

1998

  • D. Bothe: Multivalued perturbations of m-accretive differential inclusions, Isr. J. Math. 108, 109-138 (1998).

1997

  • D. Bothe: Reaction-diffusion systems with discontinuities. A viability approach. Proc. of the 2nd World Congress of Nonlinear Analysis, Nonlin. Anal. 30, 677-686 (1997).

1996

  • D. Bothe: Flow invariance for perturbed nonlinear evolution equations, Abstract and Applied Analysis 1, 417-433 (1996)
  • D. Bothe: Multivalued differential equations with time-dependent constraints, pp. 1829-1839 in Proc. of the First World Congress of Nonlinear Analysis, Tampa, Florida 1992 (V. Lakshmikantham, ed.), W. de Gruyter (1996)
  • D. Bothe: Upper semicontinuous perturbations of m-accretive operators and differential inclusions with dissipative right-hand side, pp. 139-148 in Topology in Nonlinear Analysis (K. Geba, L. Gorniwicz, eds.), Banach Center Publications 35 (1996).

1992

  • D. Bothe: Multivalued differential equations of graphs, Nonlin. Anal. 18, 245-252 (1992).

1991

  • D. Bothe: Minimal solutions of multivalued differential equations, Diff. and Integral Eqs. 4, 445-447 (1991)