Dr. Dipl.-Ing. Martin Wörner

Dr. Dipl.-Ing. Martin Wörner

  • Institute of Catalysis Research and Technology (IKFT)

    Postal address:
    Karlsruhe Institute of Technology (KIT)
    Institute for Chemical Technology and Polymer Chemistry (ITCP)
    Campus South Bldg. 11.21
    Engesserstr. 20
    76131 Karlsruhe, Germany

     

Education/ Degrees

1994 PhD in Mechanical Engineering (Dr.-Ing.) University Karlsruhe
Thesis: Direct numerical simulation of turbulent Rayleigh-Bénard convection in liquid sodium

1989 Diploma in Mechanical Engineering (Dipl.-Ing.) University Karlsruhe

 

Work History

since 01/13 Karlsruhe Institute of Technology, Institute of Catalysis Research and Technology, Head of Multiphase Flow Group
04/08 – 12/12 Karlsruhe Institute of Technology, Institute for Nuclear and Energy Technologies
06/89 – 03/08 Research Center Karlsruhe, Institute for Reactor Safety

Honors and Scientific Activities

Assigned Member of the DECHEMA ProcessNet Committee Computational Fluid Dynamics (since April 2020)

Outstanding Contribution in Reviewing for Chemical Engineering Science (awarded October 2018). For further pear review activities see Publons.

International Subject Editor of Applied Mathematical Modelling (since March 2017)

Redtenbacher Award University Karlsruhe 1989

Teaching

since 2002 “Numerical modeling of multiphase flows”, Karlsruhe Institute of Technology (annual lecture in summer semester, in German)
since 2010 “Two-phase flow and heat transfer", Karlsruhe Institute of Technology (annual lecture in winter semester together with T. Schulenberg, in German)
2011 “Two-phase flow modeling and simulation”, Frédéric Joliot & Otto Hahn Summer School on “High-fidelity Modelling for Nuclear Reactors: Challenges and Prospects“, Karlsruhe, August 24 – September 2, 2011
2009 “Grundlagen der Modellierung von Mikrostrukturreaktoren”, Weiterbildungskurs “Mikroverfahrenstechnik”, veranstaltet vom Karl-Winnacker-Institut der DECHEMA e.V., Aachen, March 26-27, 2009
2007 “Numerical modelling of multiphase flows”, Training course ITC3 of EU Integrated Project EUROTRANS on “ADS thermal-hydraulics: system codes and CFD codes, models and experimental validation”, Louvain-la-Neuve, Belgium, March 21-24, 2007
2004 “Computational Modeling of Incompressible Two-phase Flows”, International Summer School on “Computational and Experimental Simulation of Combustion & Multi-phase Flows in Advanced Energy Systems”, Sakarya University, Kirkpinar, Turkey, July 12-17, 2004
2003 “Computational Modeling of Multiphase Flows”, International Summer-School on “Computational Modeling of Combustion & Multiphase Flows in Energy Systems”, Neptun-Olimp, Rumania, July 21-25, 2003

 

Research Interests

Multiphase transport phenomena and reaction engineering

Fluid dynamics and computational fluid dynamics of single and two-phase flows

Residence time distribution theory

Turbulence modeling for natural convection and bubbly two-phase flows

Further information: ORCID, ResearcherID, ResearchGate

Publications

I: Journal Articles

M. Wörner, N. Samkhaniani, X. Cai, Y. Wu, A. Majumdar, H. Marschall, B. Frohnapfel, O. Deutschmann. Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability, Applied Mathematical Modelling 95 (2021) 53-73
M. Woo, S. Tischer, O. Deutschmann, M. Wörner. A step toward the numerical simulation of catalytic hydrogenation of nitrobenzene in Taylor flow at practical conditions, Chemical Engineering Science 230 (2021) 116132. Please note the corrigendum.
Woo, M., Maier, L., Tischer, S., Deutschmann, O., Wörner, M.: A qualitative numerical study on catalytic hydrogenation of nitrobenzene in gas-liquid Taylor flow with detailed reaction mechanism, Fluids 5 (2020) 234
Wörner, M.: A correlation for the characteristic velocity ratio to predict hydrodynamics of capillary gas–liquid Taylor flow, Theoretical Foundations of Chemical Engineering 54 (2020) 3-16
Antritter, T., Mayer, M., Hachmann, P., Wörner, M.: Suppressing artificial equilibrium states caused by spurious currents in droplet spreading simulations with dynamic contact angle model, Progress in Computational Fluid Dynamics 20 (2020) 59-70
Woo, M., Deutschmann, O., Wörner, M.: Influence of liquid composition on diffusive mass transfer in the lubricating film of Taylor flow – a study related to the hydrogenation of nitrobenzene, Chemical Engineering & Processing: Process Intensification 149 (2020) 107835
Dörnhöfer, J., Börnhorst, M., Ates, C., Samkhaniani, N., Pfeil, J., Wörner, M., Koch, R., Bauer, H.-J., Deutschmann, O., Frohnapfel, B., Koch, T.: A holistic view on urea injection for NOx emission control: Impingement, re-atomization and deposit formation, Emission Control Science and Technology 6 (2020) 228-243
Börnhorst, M., Cai, X., Wörner, M., Deutschmann, O.: Maximum spreading of urea water solution during drop impingement, Chemical Engineering & Technology 42 (2019) 2419-2427
Jamshidi, F., Heimel, H., Hasert, M., Cai, X., Deutschmann, O., Marschall, H., Wörner, M.: On suitability of phase-field and algebraic volume-of-fluid OpenFOAM® solvers for gas–liquid microfluidic applications, Computer Physics Communications 236 (2019) 72-85
Wörner, M., Cai, X., Alla, H., Yue, P.: A semi-analytical method to estimate the effective slip length of spreading spherical-cap shaped droplets using Cox theory, Fluid Dynamics Research 50 (2018) 035501
Fink, V., Cai, X., Stroh, A., Bernard, R., Kriegseis, J., Frohnapfel, B., Marschall, H., Wörner, M.: Drop bouncing by micro-grooves, International Journal of Heat and Fluid Flow 70 (2018) 271-278
Woo, M., Wörner, M., Tischer, S., Deutschmann, O.: Validation of a numerical method for interface-resolving simulation of multicomponent gas-liquid mass transfer and evaluation of multicomponent diffusion models, Heat and Mass Transfer 54 (2018) 697-713
Cai, X., Wörner, M., Marschall, H., Deutschmann, O.: CFD Simulation of Liquid Back Suction and Gas Bubble Formation in a Circular Tube with Sudden or Gradual Expansion, Emission Control Science and Technology 3 (2017) 289-301
Cai, X., Wörner, M., Marschall, H., Deutschmann, O.: Numerical study on the wettability dependent interaction of a rising bubble with a periodic open cellular structure, Catalysis Today 273 (2016) 151-160
Falconi, C. J., Lehrenfeld, C., Marschall, H., Meyer, C., Abiev, R., Bothe, D., Reusken, A., Schlüter, M., Wörner, M.: Numerical and experimental analysis of local flow phenomena in laminar Taylor flow in a square mini-channel, Physics of Fluids 28 (2016) 012109
Cai, X., Marschall, H., Wörner, M., Deutschmann, O.: Numerical Simulation of Wetting Phenomena with a Phase-field Method using OpenFOAM, Chemical Engineering & Technology 38 (2015) 1985-1992
Wörner, M.: General pure convection residence time distribution theory of fully developed laminar flows in straight planar and axisymmetric channels, Chemical Engineering Science 122 (2015) 555-564
Marschall, H., Boden, S., Lehrenfeld, C., Falconi, C., Hampel, U., Reusken, A., Wörner, M., Bothe, D.: Validation of interface capturing and tracking techniques with different surface tension treatments against a Taylor bubble benchmark, Computers & Fluids 102 (2014) 336-352
Wörner, M., Erdogan, S.: Toward improved closure relations for the turbulence kinetic energy equation in bubble-driven flows, Chemie-Ingenieur-Technik 85 (2013) 1131-1136
Wörner, M.; Computational Study on Scaling of Co-current Downward Taylor Flow in Small Square Channels of Three Different Sizes, Journal of Chemical Engineering of Japan 46 (2013) 335-341
Erdogan, S., Wörner, M.; Influence of channel cross-sectional shape on diffusion-free residence time distribution in fully developed laminar Newtonian flow, Chemical Engineering Journal 227 (2013) 158-165
Wörner, M.: Numerical Modeling of Multiphase Flows in Microfluidics and Micro Process Engineering: A Review of Methods and Applications, Microfluidics and Nanofluidics 12 (2012) 841-886
Erdogan, S., Wörner, M., Soyhan, H.S.: Modeling the Diffusion-Free Liquid Phase Residence Time Distribution of Taylor Flow by the Unit Cell Concept: Progress and Limitations, Chemical Engineering Journal 200-202 (2012) 380-390
Keskin, Ö., Wörner, M., Soyhan, H.S., Bauer, T., Deutschmann, O., Lange, R.: Viscous co-current downward Taylor flow in a square mini-channel, AIChE Journal 56 (2010) 1693-1702
Wörner, M.: Approximate residence time distribution of fully developed laminar flow in a straight rectangular channel, Chemical Engineering Science 65 (2010) 3499-3507
Kececi, S., Wörner, M., Onea, A., Soyhan, H.S.: Recirculation time and liquid slug mass transfer in co-current upward and downward Taylor flow, Catalysis Today 147S (2009) S125-S131 Please note the corrections.
Onea, A., Wörner, M., Cacuci, D.G.: A qualitative computational study of mass transfer in upward bubble train flow through square and rectangular mini-channels, Chemical Engineering Science 64 (2009) 1416-1435
Öztaskin, M.C., Wörner, M., Soyhan, H.S.: Numerical investigation of the stability of bubble train flow in a square mini-channel, Physics of Fluids 21 (2009) 042108. Please note the corrections.
Keskin, Ö., Wörner, M., Bauer, T., Soyhan, H.S., Lange, R.: Validierte numerische Simulation der Taylor-Strömung im quadratischen Mini-Kanal, Chemie Ingenieur Technik 80 (2008) 1302-1303
Özkan, F., Wörner, M., Wenka, A., Soyhan, H.: Critical evaluation of CFD codes for interfacial simulation of bubble train flow in a narrow channel, International Journal for Numerical Methods in Fluids 55 (2007) 537-564
Wörner, M., Ghidersa, B., Onea, A.: A model for the residence time distribution of bubble train flow in a square mini-channel based on direct numerical simulation results, International Journal of Heat and Fluid Flow 28 (2007) 83-94
Wörner, M.; Ghidersa, B., Ilic, M.; Cacuci, D.G.: Volume-of-fluid based numerical simulations of gas-liquid two-phase flows in confined geometries, La Houille Blanche Nº 6-2005 91-104
Wörner, M., Ghidersa, B.E., Cacuci, D.G.: Numerische Untersuchung der Strömung von Taylor-Blasen in einem kleinen Kanal mit quadratischem Querschnitt, Chemie Ingenieur Technik 77 (2005) 1064-1065
Otic, I., Grötzbach, G., Wörner, M.: Analysis and modelling of the temperature variance equation in turbulent natural convection for low-Prandtl-number fluids, Journal of Fluid Mechanics 525 (2005) 237-261
Ghidersa, B.E., Wörner, M., Cacuci, D.G.: Exploring the flow of immiscible fluids in a square vertical mini-channel by direct numerical simulation, Chemical Engineering Journal 101 (2004) 285-294
Ilic, M.; Wörner, M.; Cacuci, D.G.: Balance of Liquid-phase Turbulence Kinetic Energy Equation for Bubble-train Flow, Journal of Nuclear Science and Technology 41 (2004) 331-338
Sabisch, W.; Wörner, M.; Grötzbach, G.; Cacuci, D.G.: Dreidimensionale Numerische Simulation von aufsteigenden Einzelblasen und Blasenschwärmen mit einer Volume-of-Fluid Methode, Chemie Ingenieur Technik 73 (2001) 368-373
Grötzbach, G.; Wörner, M.: Direct numerical and large eddy simulations in nuclear applications, International Journal of Heat and Fluid Flow 20 (1999) 222-240
Wörner, M.; Grötzbach, G.: Pressure transport in DNS of turbulent natural convection in horizontal fluid layers, International Journal of Heat and Fluid Flow 19 (1998) 150-158
Wörner, M.; Schmidt, M.; Grötzbach, G.: Direct numerical simulation of turbulence in an internally heated convective fluid layer and implications for statistical modelling, Journal of Hydraulic Research 35 (1997) 773-797

 

II: Scientific Reports of Forschungszentrum Karlsruhe

Erdogan, S., Wörner, M.: Numerical investigation and analytical modeling of liquid phase residence time distribution for bubble train flow in a square mini-channel, Wissenschaftliche Berichte, FZKA 7490 (August 2009)
Wörner, M.: A Compact Introduction to the Numerical Modeling of Multiphase Flows, Wissenschaftliche Berichte, FZKA 6932 (November 2003). Please note the corrections.
Ye, Q.Y.; Wörner, M.; Grötzbach, G.: Modelling turbulent dissipation correlations for Rayleigh-Bénard convection based on two-point correlation technique and invariant theory, Wissenschaftliche Berichte, FZKA 6103 (August 1998)
Bunk, M.; Wörner, M.: Direkte numerische Simulation turbulenter Rayleigh-Bénard-Konvektion in Quecksilber, Wissenschaftliche Berichte, FZKA 5915 (April 1998)
Schmidt, M.; Wörner, M.; Grötzbach, G.: Direkte numerische Simulation der Konvektion in einer Fluidschicht mit interner Wärmequelle, Wissenschaftliche Berichte, FZKA 5916 (August 1997)
Wörner, M.: Direkte Simulation turbulenter Rayleigh-Bénard-Konvektion in flüssigem Natrium, KfK 5228 (November 1994) Dissertation, Universität Karlsruhe 1994

 

III: Book Chapters and Conference Proceedings Published in Books

Hettel, M., Wörner, M., Deutschmann, O.: Computational Fluid Dynamics of Catalytic Reactors. In: Andreoni, W., Yip, S. [Eds.] Handbook of Materials Modeling. Volume 2 Applications: Current and Emerging Materials. Springer International Publishing, Cham, 2018, pp. 1-34
Wörner, M.: Taylor Bubbles in Small Channels: A Proper Guiding Measure for Validation of Numerical Methods for Interface Resolving Simulations. In: Bothe D., Reusken A. [Hrsg.] Transport Processes at Fluidic Interfaces. Advances in Mathematical Fluid Mechanics, Birkhäuser, Cham, 2017, pp. 577-587
Marschall, H., Falconi, C., Lehrenfeld, C., Abiev, R., Wörner, M., Reusken, A., Bothe, D.: Direct Numerical Simulations of Taylor Bubbles in a Square Mini-Channel: Detailed Shape and Flow Analysis with Experimental Validation. In: Bothe D., Reusken A. [Hrsg.] Transport Processes at Fluidic Interfaces. Advances in Mathematical Fluid Mechanics, Birkhäuser, Cham, 2017, pp. 663-679
Wörner, M.: The influence of gas-liquid density ratio on shape and rise velocity of an ellipsoidal bubble: a numerical study by 3D volume-of-fluid computations, Schindler, F. [Ed.] 1st International Berlin Workshop - IBW1 on Transport Phenomena with Moving Boundaries, Berlin, October 11-12 2001, Düsseldorf: VDI Verl., 2002, pp. 67-84, (Fortschritt-Berichte VDI: Reihe 3: Verfahrenstechnik; 738)
Wörner, M.; Ye, Q.Y.; Grötzbach, G.: Consistent modelling of fluctuating temperature-gradient-velocity-gradient correlations for natural convection, Rodi, W. [Ed.] Engineering Turbulence Modelling and Experiments 4 : Proc. of the 4th Internat. Symp., Ajaccio, F, May 24-26, 1999, Amsterdam: Elsevier, 1999, pp. 165-74
Wörner, M.; Grötzbach, G.: Pressure transport in DNS of turbulent natural convection in horizontal fluid layers, Hanjalic, K. [Ed.] Turbulence, Heat and Mass Transfer : 2 ; Proc. of the 2nd Internat. Symp., Delft, NL, June 9-12, 1997 Delft : Delft Univ. Pr., 1997, pp. 351-60
Ye, Q.Y.; Wörner, M.; Grötzbach, G.; Jovanovic, J.: Modelling turbulent dissipation rate for Rayleigh-Bénard convection, Hanjalic, K. [Ed.] Turbulence, Heat and Mass Transfer : 2 ; Proc. of the 2nd Internat. Symp., Delft, NL, June 9-12, 1997 Delft: Delft Univ. Pr., 1997, pp. 331-40
Wörner, M.; Grötzbach, G.: Analysis of the transport equation of temperature variance dissipation rate by direct numerical simulation data of natural convection, Rodi, W. [Ed.] Engineering Turbulence Modelling and Experiments: 3 ; Proc. of the 3rd Internat. Symp., Heraklion, GR, May 27-29, 1996, Amsterdam: Elsevier, 1996, pp. 229-38
Grötzbach, G.; Wörner, M.: Inertial convection in turbulent Rayleigh-Bénard convection at small Prandtl numbers, Leutloff, D. [Ed.] Computational Fluid Dynamics. Selected Topics. Papers in Honor of Prof. K.G. Roesner Berlin: Springer, 1995, pp. 219-32
Grötzbach, G.; Wörner, M.: Flow mechanism and heat transfer in Rayleigh-Benard convection at small Prandtl numbers, Voke, P.R. [Ed.] Direct and Large-Eddy Simulation I : Selected Papers from the 1st ERCOFTAC Workshop, Guildford, GB, March 30, 1994, Dordrecht: Kluwer Acad. Publ., 1994, pp. 387-97
Wörner, M.; Grötzbach, G.: Analysis of semi-implicit time integration schemes for direct numerical simulation of turbulent convection in liquid metals, Vos, J.B. [Ed.] Proc. of the 9th Gamm Conf. on Numerical Methods in Fluid Mechanics, Lausanne, CH, September 25-27, 1991, Braunschweig: Vieweg, 1992, pp. 542-51 (Notes on Numerical Fluid Mechanics ; 35)

 

IV: Other Conference Proceedings

Cai, X., Marschall, H., Wörner, M., Deutschmann, O.: A phase field method with adaptive mesh refinement for numerical simulation of 3D wetting processes with OpenFOAM®, 2nd Int. Symp. Multiscale Multiphase Process Engineering (MMPE), Hamburg, Germany, September 24-27, 2014
Erdogan, S., Wörner, M.: Analysis and modelling of liquid phase turbulence kinetic energy equation in bubbly flows via direct numerical simulation, 2nd Int. Symp. Multiscale Multiphase Process Engineering (MMPE), Hamburg, Germany, September 24-27, 2014
Woo, M., Wörner, M., Tischer, S., Deutschmann, O.: Development of a computer code for numerical simulation of reactive and catalytic two-phase flows with detailed chemistry, 2nd Int. Symp. Multiscale Multiphase Process Engineering (MMPE), Hamburg, Germany, September 24-27, 2014
Cai, X., Wörner, M., Deutschmann, O.: Implementation of a Phase Field Method in OpenFOAM® for Simulation of Spreading Droplets and Verification by Test Problems, 7th Open Source CFD International Conference, Hamburg, Germany, October 24-25, 2013
Wörner, M.: Scaling of Taylor flow in small square channels of different size, Proc. 1st International Symposium on Multiscale Multiphase Process Engineering (MMPE); Kanazawa, Japan, October 4-7, 2011
Wörner, M.: Numerical investigations of gas-liquid flows in mini-channels for applications in chemical process engineering. In: Kondov, I., Poghosyan, G., Kirner, O., Schneider, O., Schmitz, F. (Ed.) Computational Methods in Science and Engineering: Proceedings of the Workshop SimLabs@KIT, November 29-30, 2010, Karlsruhe, Germany, KIT Scientific Publishing (ISBN : 978-3-86644-693-9), 2011, pp. 161-167
Wörner, M.: A key parameter to characterize Taylor flow in narrow circular and rectangular channels, 7th International Conference on Multiphase Flow (ICMF 2010), Tampa, FL, USA, May 30 – June 4, 2010
Wörner, M.: Numerical evidence for a novel non-axisymmetric bubble shape regime in square channel Taylor flow, 7th International Conference on Multiphase Flow (ICMF 2010), Tampa, FL, USA, May 30 – June 4, 2010
Ilic, M.; Wörner, M.; Cacuci, D.G.: Evaluation of energy spectra in bubble driven liquid flows from direct numerical simulations, 6th International Conference on Multiphase Flow (ICMF 2007), Leipzig, Germany, July 9-13, 2007
Onea, A.; Wörner, M.; Cacuci, D.G.: Numerical investigation of interfacial mass transfer in bubble train flow within a square mini-channel, 6th International Conference on Multiphase Flow (ICMF 2007), Leipzig, Germany, July 9-13, 2007
Ilic, M.; Wörner, M.; Cacuci, D.G.: Investigations of liquid phase turbulence based on direct numerical simulations of bubbly flows, 11th International Topical Meeting on Nuclear Reactor Thermal-Hydraulics (NURETH-11), Avignon, France, October 2-6, 2005, CD-ROM
Wörner, M., Ghidersa, B., Onea, A.: Evaluation of residence time distribution for bubble train flow in a square mini-channel by direct numerical simulation, ECI Conference on Heat Transfer and Fluid Flow in Microscale, Castelvecchio Pascoli, Italy, September 25-30, 2005, CD-ROM
Wörner, M.; Ghidersa, B., Ilic, M.; Cacuci, D.G.: Volume-of-fluid based numerical simulations of gas-liquid two-phase flows in confined geometries. Workshop on Advances in the modelling methodologies of two-phase flows, Lyon, France, November 24-26, 2004, CD-ROM Societe Hydrotechnique de France, ISBN 2-906831-60-3
Wörner M., Ghidersa B., Shahab A.: Numerical study of bubble train flow in a square vertical mini-channel: influence of length of the flow unit cell. 5th Int. Conf. Multiphase Flow (ICMF-2004), Yokohama, Japan, May 31 – June 3, 2004, CD-Rom, paper No. 154
Ghidersa, B.E., Wörner, M., Cacuci, D.G.: Numerical simulation of bubble-train flow with heat transfer in a square mini-channel. Proc. 5th Int. Conf. Multiphase Flow (ICMF-2004), Yokohama, Japan, May 31 – June 3, 2004, CD-Rom, paper No. 567
Ilic, M.; Wörner, M.; Cacuci, D.G.: Quantitative analysis of liquid phase turbulence kinetic energy equation using DNS data of bubble-train flow. Proc. of the 11th Int. Conf. on Nuclear Engineering (ICONE-11), Tokyo, Japan, April 20-23, 2003, Tokyo: JSME, 2003, CD-ROM Paper 36418
Wörner, M.: Invariance of the velocity field induced by a bubble rising steadily through liquid under variation of the gas-liquiddensity ratio. in: T. Schulenberg, M. Ozawa, G. Grötzbach, (Ed.) Proceedings of the German-Japanese Workshop on Multi-Phase Flow, Karlsruhe, Germany, August 25-27, 2002 FZKA 6759, Forschungszentrum Karlsruhe, March 2003, pp. G10-G21
Ghidersa, B.; Wörner, M.; Cacuci, D.G.: Numerical simulation of bubble-train flow in a small channel of square cross-section. In: T. Schulenberg, M. Ozawa, G. Grötzbach, (Ed.) Proceedings of the German-Japanese Workshop on Multi-Phase Flow, Karlsruhe, Germany, August 25-27, 2002 FZKA 6759, Forschungszentrum Karlsruhe, March 2003, pp. G1-G9
Wörner, M.; Sabisch, W.; Grötzbach, G.; Cacuci, D.G.: Volume-averaged conservation equations for volume-of-fluid interface tracking. Michaelides, E.E. [Ed.] Proc. of the 4th Internat. Conf. on Multiphase Flow, New Orleans, La., May 27 - June 1, 2001 CD-ROM, paper no. 245

Sabisch, W.; Wörner, M.; Grötzbach, G.; Cacuci, D.G.: 3D volume-of-fluid simulation of a wobbling bubble in a gas-liquid system of low Morton number. Michaelides, E.E. [Ed.] Proc. of the 4th Internat. Conf. on Multiphase Flow, New Orleans, La., May 27 - June 1, 2001 CD-ROM, paper no. 244

Sabisch, W.; Wörner, M.; Grötzbach, G.; Cacuci, D.G.: An improved volume of fluid method for numerical simulation of clusters of bubbles. Sommerfeld, M. [Ed.] Proc. of the 9th Workshop on Two-Phase Flow Predictions, Merseburg, April 13-16 1999 Halle : Martin-Luther-Univ., Lehrstuhl f. Mechanische Verfahrenstechnik, 2000, pp. 175-94
Carteciano, L.N.; Wörner, M.; Grötzbach, G.: Erweiterte Turbulenzmodelle für technische Anwendung von FLUTAN auf Naturkonvektion. Jahrestagung Kerntechnik 99, Karlsruhe, 18.-20. Mai 1999, Bonn: INFORUM GmbH, 1998, pp. 129-33
Grötzbach, G.; Wörner, M.: Direct numerical and large eddy simulations in nuclear applications. 2nd Engineering Foundation Conf. in Turbulent Heat Transfer, Manchester, GB, May 31-June 4, 1998 Manchester: UMIST, 1998, Vol.II, pp. 8-31 - 8-48
Wörner, M.; Grötzbach, G.: Analysis of thermal variance equation for natural convection of air and sodium. Hanjalic, K. [Ed.] Turbulence, Heat and Mass Transfer : 1 ; Proc. of the Internat. Symp., Lisboa, P, August 9-12, 1994, New York: Begell House Inc., 1995, pp. 332-37
Wörner, M.; Grötzbach, G.: Modelling the molecular terms in the turbulent heat flux equation for natural convection. 10th Symp. on Turbulent Shear Flows, University Park, Pa., August 14-16, 1995 Proc. Vol.2 pp. P2/73-P2/78
Wörner, M.; Grötzbach, G.: Contributions to turbulence modelling of natural convection in liquid metals by direct numerical simulation. Kuesters, H. [Ed.] Proc. of the Joint Internat. Conf. on Mathematical Methods and Supercomputing in Nuclear Applications (M&C + SNA'93), Karlsruhe, April 19-23, 1993, Vol. 1 pp. 224-35 Karlsruhe: KfK, 1993
Grötzbach, G.; Wörner, M.: Analysis of flow mechanisms in Rayleigh-Bénard convection at small Prandtl numbers. Kuesters, H. [Ed.] Proc. of the Joint Internat. Conf. on Mathematical Methods and Supercomputing in Nuclear Applications (M&C + SNA'93), Karlsruhe, April 19-23, 1993, Vol. 1 pp. 236-47 Karlsruhe: KfK, 1993
Grötzbach, G.; Wörner, M.: Direct numerical simulation of turbulence in nuclear thermal-hydraulics. Proc. of the 9th Brazilian Meeting on Reactor Physics and Thermal Hydraulics, Caxambu, BR, October 25-29, 1993, Belo Horizonte: Comissao Nacional de Energia Nuclear, 1993, pp. 258-64
Wörner, M.; Grötzbach, G.: Analysis of diffusion of turbulent kinetic energy by numerical simulations of natural convection in liquid metals. Courtaud, M. [Ed.] Proc. of the 6th Internat. Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-6), Grenoble, France, October 5-8, 1993, Vol. 1 pp. 186-93
Wörner, M.; Grötzbach, G.: Turbulent heat flux balance for natural convection in air and sodium analysed by direct numerical simulations. Proc. of the 5th Internat. Symp. on Refined Flow Modelling and Turbulence Measurements, Paris, France, September 7-10, 1993, Paris: Presses de l' Ecole Nationale des Ponts et Chaussees, 1993, pp. 335-42
Grötzbach, G.; Wörner, M.: Analysis of second order transport equations by numerical simulations of turbulent convection in liquid metals. Proc. of the 5th Internat. Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-5), Salt Lake City, Utah, September 21-24, 1992, Vol. II pp. 358-65 LaGrange Park, Ill. : American Nuclear Society, 1992

 

V: DNS data base

Wörner, M.; Grötzbach, G.: DNS database of turbulent natural convection in horizontal fluid layers.

 

Last update: 10.05.2021