Publications Prof. Dr. Dieter Bothe
submitted
- X. Chen, H. Marschall, M. Schäfer, D. Bothe: A comparison of different methods for viscoelastic flow simulation
- 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
- S. Fleckenstein, D. Bothe: Simplified modeling of the influence of surfactant on the rise of bubbles in VOF-Simulations
- D. Bothe, M. Köhne, J. Prüss: Energy preserving boundary conditions for the Navier-Stokes system
- D. Bothe, A. Fischer, J. Saal: Global well-posedness and stability of electro-kinetic flows
- A. Ali, D. Bothe: A graph-theoretical approach for the computation of connected iso-surfaces based on volumetric data
- C. Focke, D. Bothe, M. Kuschel, M. Sommerfeld: Computational and Experimental Analysis of Binary Collisions of Non-Isoviscous Liquid Droplets
- D. Bothe, S. Fleckenstein: Modeling and VOF-based numerical simulation of mass transfer processes at fluidic particles
- C. Albert, D. Bothe, A. Tezuka: Global linear stability analysis of falling films with in- and outlet
- 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
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)
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, 079105 (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
- C. Albert, D. Bothe: Influence of surface tension models on the hydrodynamics of wavy laminar falling films in Volume of Fluid-Simulations, International Journal on Multiphase Flow 43, 66-71 (2012)
- 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. Albert, H. Raach, D. Bothe: Influence of surface tension models on the hydrodynamics of wavy laminar falling films in Volume of Fluid-simulationsInternational Journal of Multiphase Flow, Volume 43, 66-71 (2012)
- C. Focke, D. Bothe: Direkte Numerische Simulation binärer Kollisionen scherverdünnender TropfenChemie Ingenieur Technik, 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)
- Bothe, D. :Mathematical Modeling and Direct Numerical Simulation of Transport Processes at Fluidic InterfacesIn: 1st Int. Symposium on Multiscale Multiphase Process Engineering, Oktober 2011, Kanazawa, Japan.
- 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
- 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
- C. Ma, D. Bothe: Direct Numerical Simulation of Thermocapillary Flow Based on the Volume of Fluid Method, International Journal of Multiphase Flow, in press
- 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
- 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
- A. Alke, D. Bothe, M. Kröger, B. Weigand, D. Weirich, H. Weking: Direct numerical simulation of high Schmidt number mass transfer from air bubbles rising in liquids using the Volume-of-Fluid-MethodErcoftac Bulletin. pecial issue “Dispered Multiphase Flow: From Mcro- to Macro-Scale Numerical Modelling”, 82., pp. 50-10.
- D. Bothe, J. Prüss: Stability of equilibria for two-phase flows with soluble surfactant
- D. Bothe, M. Pierre: Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate
- D. Bothe, J. Prüss: On the Two-Phase Navier-Stokes Equations with Boussinesq-Scriven Surface Fluid
- H.-J. Warnecke, D. Bothe, G. Berth, K.-P. Hüsch, A. Zrenner: Modellbasierte Bestimmung lokal gültiger Kinetiken chemischer Reaktionen in Flüssigphase mittels Flachbettmikroreaktor. Chem. Ing. Tech. 82, 251-258 (2010) DOI: 10.1002/cite.200900169
- D. Bothe, A. Lojewski, H.-J. Warnecke: Computational analysis of an instantaneous irreversible reaction in a T-microreactor, AIChE J. 56 (6), 1406-1415 (2010)
- D. Bothe: Evaluating the quality of a mixture: degree of homogeneity and scale of segregation, pp. 17-35 in Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation (H. Bockhorn, D. Mewes, W. Peukert, H.-J. Warnecke, eds.), Heat and Mass Transfer, Springer 2010
- D. Bothe, A. Lojewski, H.-J. Warnecke: Computational Analysis of Reactive Mixing in T-microreactors, pp. 265-286 in Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation (H. Bockhorn, D. Mewes, W. Peukert, H.-J. Warnecke, eds.), Heat and Mass Transfer, Springer 2010
- O. Seck, T. Maxisch, D. Bothe, H.-J. Warnecke: Investigation of the Mixing and Devolatilization Behavior in a Continuous Twin-Shaft Kneader Macromolecular Symposia 289 (1), 155-164 (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
- D. Bothe, A. Alke: Direct Numerical Simulation of Bubble Dynamics and Transfer Processes in Pure and Contaminated Systems in Proc. 6th Int. Conf. on Computational Fluid Dynamics in the Oil & Gas, Metallurgical and Process Industries, Trondheim, Norway (2008)
- D. Bothe, M. Kröger, A. Alke, H.-J. Warnecke: VOF-Based Simulation of Reactive Mass Transfer Across Deformable Interfacesin Proc. 6th Int. Conf. on Computational Fluid Dynamics in the Oil & Gas, Metallurgical and Process Industries, Trondheim, Norway (2008)
- D. Bothe, C. Stemich, H.-J. Warnecke: Computation of Scales and Quality of mixing in a T-shaped microreactor Comp. & Chem. Eng., 32, 108-114 (2008)
- D. Bothe: Perturbed nonlinear evolutions under time-dependent constraints, pp. 67-80 in Proc. of the Conference Evolution Equations – The State of the Art. Ulmer Seminare 2008, Universität Ulm (2008)
2007
- D. Bothe, J. Prüss: Lp-theory for a class of non-Newtonian fluids SIAM J. Math. Anal. 39, 379-421 (2007)
- D. Bothe, H. Shirzadi, H.-J. Warnecke: Evaluations of Euler-Euler Simulations of Bubble Columns by Numerical Tracer Experiments Trans. IChemE Part A, 85, 1-6 (2007)
- M. Kröger, A. Alke, D. Bothe, H.-J. Warnecke: A VOF-based approach for the simulation of reactive mass transfer from rising bubbles, pp. 290-301 in 4th International Berlin Workshop – IBW4 on Transport Phenomena with Moving Boundaries (F.-P. Schindler, ed.), TU Berlin 2007
- D. Bothe, M. Schmidtke, H.-J. Warnecke: Direct Numerical Computation of the Lift Force acting on Single Bubbles, paper S1TueD26 in 6th International Conference on Multiphase Flow, ICMF2007, Leipzig (Germany), 2007
- D. Bothe, H.-J. Warnecke: Berechnung und Beurteilung strömungsbasierter komplex-laminarer Mischprozesse, Chem. Ing. Tech. 79, 1001-1014 (2007)
- Alke, D. Bothe: VOF-simulation of fluid particles influenced by soluble surfactants, paper S1ThuC57 in 6th International Conference on Multiphase Flow, ICMF2007, Leipzig (Germany), 2007
2006
- D. Bothe, M. Schmidtke, H.-J. Warnecke: VOF-Simulation of the lift force for single bubbles in a simple shear flow Chem. Eng. Tech. 29 (9), 1048-1053 (2006)
- D. Bothe, C. Stemich, H.-J. Warnecke: Fluid mixing in a T-shaped micro-mixer
Chem. Eng. Sci. 61, 2950-2958 (2006) - D. Bothe, A. Steinkemper, H.-J. Warnecke: Modeling the dehydration of tert-butyl alcohol and avoidance of the formation of oligomers Ind. Eng. Chem. Res. 45, 2986-2993 (2006)
- Alke, D. Bothe:A VOF-based method for the simulation of gas bubbles influenced by surfactants, pp. 169-176 in 7th German/Japanese Symposium on Bubble Columns, VDI-GVC Society for Process Engineering, Goslar (Germany), 20-23 May 2006
- D. Bothe, C. Stemich, H.-J. Warnecke: Mixing in a T-shaped microreactor: scales and quality of mixing, pp. 351-357 in 16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering (W. Marquardt, C. Pantelidis, eds.), Garmisch-Partenkirchen (Germany), Elsevier 2006
2005
- D. Bothe, J. Prüss, G. Simonett: Well-posedness of a two-phase flow with soluble surfactant S. 37-61 in Nonlinear Elliptic and Parabolic Problems (M. Chipot, J. Escher, eds.), Birkhäuser (2005)
- D. Bothe: Flow invariance for nonlinear accretive evolutions under range conditions J. Evol. Eqs. 5, 227-252 (2005)
- D. Bothe: VOF-simulations of fluid particle dynamics pp. 1-13 in Proc. 11th Workshop on Two-Phase Flow Predictions (M. Sommerfeld, ed.), Merseburg (2005)
- Alke, D. Bothe: A VOF-based method for the simulation of fluid-liquid-interfaces influenced by surfactants, pp. 36-47 in 3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries (M. Kraume, ed.), TU Berlin 2005
- M. Schmidtke, D. Bothe, H.-J. Warnecke: Migration of single bubbles in linear shear flows, pp. 89-100 in 3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries (M. Kraume, ed.), TU Berlin 2005
2004
- D. Bothe, M. Koebe, K. Wielage, J. Prüss, H.-J. Warnecke: Direct numerical simulation of mass transfer between rising gas bubbles and water
pp. 159-174 in Bubbly Flows: Analysis, Modelling and Calculation (M. Sommerfeld, ed.), Heat and Mass Transfer, Springer (2004) - D. Bothe, M. Koebe, H.-J. Warnecke: VOF-simulation of the rise behavior of single air bubbles with oxygen transfer to the ambient liquid, pp. 134-146 in Proc. 2nd International Berlin Workshop – IBW2 on Transport Phenomena with Moving Boundaries (F.-P. Schindler, ed.), VDI-Verlag Düsseldorf 2004
- D. Bothe, H.-J. Warnecke: Phänomenologisch-mechanistisches Modell der Kristallisation und Membranverblockung in der Umkehrosmose, Chem. Ing. Tech. 76, 1521-1528 (2004)
- D. Bothe, C. Stemich, H.-J. Warnecke: Theoretische und experimentelle Untersuchungen der Mischvorgänge in T-förmigen Mikroreaktoren – Teil I: Numerische Simulation und Beurteilung des Strömungsmischens, Chem. Ing. Tech. 76, 1480-1484 (2004)
2003
- D. Bothe, D. Hilhorst: A reaction-diffusion system with fast reversible reaction
J. Math. Anal. Appl. 286, 125-135 (2003) - D. Bothe: Nonlinear Evolutions with Caratheodory forcing J. Evol. Eqs. 3, 375-394 (2003)
- D. Bothe: Instantaneous limits of reversible chemical reactions in presence of macroscopic convection J. Differ. Equations 193, 27-48 (2003)
- D. Bothe, M. Koebe, K. Wielage, H.-J. Warnecke: VOF-Simulation of mass transfer from single bubbles and bubble chains rising in aqueous solutions
FEDSM2003-45155 in Proc. 2003 ASME Joint U.S.-European Fluids Eng. Conf., Honolulu, USA, ASME (2003) - M. Koebe, D. Bothe, H.-J. Warnecke: Direct Numerical Simulation of air bubbles in water/glycerol mixtures: Shapes and velocity fields
FEDSM2003-45154 in Proc. 2003 ASME Joint U.S.-European Fluids Eng. Conf., Honolulu, USA, ASME (2003) - M. Hoffmann, N. Räbiger, M. Schlüter, S. Blazy, D. Bothe, C. Stemich, H.-J. Warnecke: Experimental and numerical investigations of T-shaped micromixers, pp. 269-276 in Proc. 11th European Conf. on Mixing, VDI – GVC 2003
- D. Bothe, U. Gerigk, H.-J. Warnecke: Hydrodynamic macro-mixing in two-phase bubble columns – Euler-Euler simulations validated by integral measurement techniques, pp. 165-171 in Proc. 6th Japanese/German Symposium on Bubble Columns. The Society of Chemical Engineers, Japan (2003)
2002
- D. Bothe, J. Prüss: Mass transport through charged membranes pp. 332-342 in Proc. 4th European Conf. on Elliptic and Parabolic Problems (J. Bemelmans, B.Brighi, A.Brillard, M.Chipot, F.Conrad, I. Shafrir, V. Valente, G.Vergara-Caffarelli eds), World Sci. Publ. (2002)
- O. Reipschläger, D. Bothe, B. Monien, J. Prüss, B. Weigand, H.-J. Warnecke: Modeling and simulation of the disintegration process in ultrasonic standing wave atomizers pp. 449-454 in Proc. 18th Annual Conf. Liquid Atomization and Spray Systems (A. Lozano, ed.), ILASS-Europe (2002)
- M. Motzigemba, N. Roth, D. Bothe, H.-J. Warnecke, J. Prüss, K. Wielage, B. Weigand: The Effect of Non-Newtonian Flow Behaviour on Binary Droplet Collisions: VOF-Simulation and Experimental Analysis pp. 559-564 in Proc. 18th Annual Conf. Liquid Atomization and Spray Systems (A. Lozano, ed.), ILASS-Europe (2002)
- M. Koebe, D. Bothe, J. Prüss, H.-J. Warnecke: 3D Direct Numerical Simulation of air bubbles in water at high Reynolds numbers FEDSM2002-31143 in Proc. 2002 ASME Joint U.S.-European Fluids Eng. Conf., Montreal, Canada, ASME (2002)
- D. Bothe, D. Jakobs, H.-J. Warnecke: The effect of adjacent layers like biofilms on mass transport through nanofiltration membranes Eng. Life Sci. 2, 295-298 (2002).
2001
- D. Bothe: Periodic solutions of a nonlinear evolution problem from Heterogeneous Catalysis Differential and Integral Equations 14, 641-670 (2001)
- I. Hilker, D. Bothe, J. Prüss, H.-J. Warnecke: Chemo-enzymatic epoxidation of unsaturated plant oils Chem. Eng. Sci. 56, 427-432 (2001) DOI: 10.1016/S0009-2509(00)00245-1
- D. Bothe, G. Koschut, J. Prüss, H.-J. Warnecke: Instationary shrinking-core models for heterogeneous ionic reactions Chem. and Eng. Tech. 24, 809-814 (2001) DOI: 10.1002/1521-4125
- D. Bothe, D. Jakobs, H.-J. Warnecke: The effect of adjacent layers like biofilms on mass transport through nanofiltration membranes Eng. Life Sci. 2, 295-298 (2002). Deutsche Fassung in CIT 73, 1625-1629 (2001)
- O. Reipschläger, D. Bothe, H.-C. Broecker, B. Monien, J. Prüss, H.-J. Warnecke, B. Weigand, K. Wielage: Modellierung und Simulation zur Optimierung des Zerstäubungsprozesses in einem Ultraschall-Stehwellenfeld, pp. 563-568 in Frontiers in Simulation, ASIM Fortschrittsberichte Simulation, 15. Symposium Simulationstechnik, Paderborn 2001 (K. Panreck, F. Dörrscheidt, eds.), SCS Publishing House Erlangen, Gent 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: Dynamics of a core-shell reaction-diffusion system (mit J. Prüss). 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)