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Publications of Stefan Heinz

 

Books

  1. Heinz, S. & Bessaih, H. 2015 (Eds.) Stochastic Equations for Complex Systems: Theoretical and Computational Topics. Springer-Verlag, Heidelberg, Dordrecht, London, New York.
  2. Heinz, S. 2011 Mathematical Modeling. Springer-Verlag, Heidelberg, Dordrecht, London, New York.
  3. Heinz, S. 2003 Statistical Mechanics of Turbulent Flows. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo.

Refereed Journals

  1. Heinz, S., Zemtsop, C. P., Gopalan, H. & Stoellinger, M. K. 2015 Unified RANS-LES Simulations of Swirling Turbulent Jet Flows (submitted).
  2. Heinz, S. 2015 Comment on Analysis of Transport Properties Determined by Langevin Dynamics Using Green-Kubo Formulae. Physica A 423, 27-32. 
  3. Heinz, S. 2014 Uncertainty Quantification of World Population Growth: A Self-Similar PDF Model. Monte Carlo Methods Applic. 20, 261–277.
  4. Gopalan, H., Heinz, S. & Stoellinger, M. 2013 A Unified RANS-LES Model: Computational Development, Accuracy and Cost. J. Comput. Phys. 249, 249–279.
  5. Stoellinger, M., Roekaerts, D., Naud, B., Beishuizen, N. & Heinz, S. 2013 PDF Modeling and Simulations of Pulverized Coal Combustion - Part 1: Theory and Modeling. Combust. Flame 160, 384–395.
  6. Stoellinger, M., Roekaerts, D., Naud, B., Beishuizen, N. & Heinz, S. 2013 PDF Modeling and Simulations of Pulverized Coal Combustion - Part 2: Application. Combust. Flame 160, 396–410.
  7. Heinz, S. & Gopalan, H. 2012 Realizable Versus Non-Realizable Dynamic Sub-Grid Scale Stress Models. Phys. Fluids 24, 115105/1-23.
  8. Stoellinger, M. & Heinz, S. 2010 Evaluation of Scalar Mixing and Time Scale Models in PDF Simulations of a Turbulent Premixed Flame. Combust. Flame 157, 1671-1685.
  9. Jenny, P., Torrilhon, M. & Heinz, S. 2010 A Solution Algorithm for the Fluid Dynamic Equations Based on a Stochastic Model for Molecular Motion. J. Comput. Phys. 229, 1077–1098.
  10. Zemtsop, C. P., Stoellinger, M. K., Heinz, S. & Stanescu, D. 2009 Large Eddy Simulation of Swirling Turbulent Jet Flows in Absence of Vortex Breakdown. AIAA Journal 47, 3011-3021.
  11. Heinz, S. 2008 Realizability of Dynamic Subgrid-Scale Stress Models via Stochastic Analysis. Monte Carlo Methods Applic. 14, 311-329.
  12. Stoellinger, M. & Heinz, S. 2008 PDF Modeling and Simulation of Premixed Turbulent Combustion. Monte Carlo Methods Applic. 14, 343-377.
  13. Heinz, S. 2007 Some Questions Regarding the Understanding and Prediction of Turbulent Flow. Dynamics of Continuous, Discrete and Impulsive Systems (Series A) 14 (S2), 232-237.
  14. Heinz, S. 2007 Unified Turbulence Models for LES and RANS, FDF and PDF Simulations. Theor. Comput. Fluid Dyn. 21, 99-118.
  15. Heinz, S. 2006 Turbulent Supersonic Channel Flow: Direct Numerical Simulation and Modeling, AIAA Journal 44, 3040-3050.
  16. Heinz, S. 2005 Comment on "A dynamic nonlinear subgrid-scale stress model" [Phys. Fluid 17, 035109 (2005)]. Phys. Fluids 17, 099101/1-2.
  17. Heinz, S. 2005 Stochastic Models for the Turbulent Mixing of Scalars. Khimicheskaya Fizika (Russian Journal of Chemical Physics) 24 (9), 33-50.
  18. Heinz, S. 2004 Molecular to Fluid Dynamics: The Consequences of Stochastic Molecular Motion. Physical Review E 70, 036308/1-11.
  19. Heinz, S. 2003 A Model for the Reduction of the Turbulent Energy Redistribution by Compressibility. Phys. Fluids 15, 3580-3583.
  20. Heinz, S. 2003 On Fokker-Planck Equations for Turbulent Reacting Flows. Part 1. Probability Density Function for Reynolds-averaged Navier-Stokes Equations. Flow, Turb. Combust. 70, 115-152.
  21. Heinz, S. 2003 On Fokker-Planck Equations for Turbulent Reacting Flows. Part 2. Filter Density Function for Large Eddy Simulation. Flow, Turb. Combust. 70, 153-181.
  22. Heinz, S. 2002 On the Kolmogorov Constant in Stochastic Turbulence Models. Phys. Fluids 14, 4095-4098.
  23. Heinz, S. 2001 Advanced Methods to Compute Multiphase Turbulent Reacting Flows. Z. Angew. Math. Mech. 81, S471-472.
  24. Heinz, S. & Roekaerts, D. 2001 Reynolds Number Effects on Mixing and Reaction in a Turbulent Pipe Flow. Chem. Eng. Sci. 56, 3197-3210.
  25. Heinz, S. & van Dop, H. 1999 Buoyant Plume Rise described by a Lagrangian Turbulence Model. Atmos. Env. 33, 2031-2043.
  26. Heinz, S. 1999. Recent Developments in the Statistical Modelling of Turbulent Flows. Z. Angew. Math. Mech. 79, S119-122.
  27. Heinz, S. 1998 Time Scales of Stratified Turbulent Flows and Relations between Second-Order Closure Parameters and Flow Numbers. Phys. Fluids 10, 958-973.
  28. Heinz, S. 1998 Connections between Lagrangian Stochastic Models and the Closure Theory of Turbulence for Stratified Flows. Int. J. Heat and Fluid Flow 19, 193-200.
  29. Heinz, S. 1997 Nonlinear Lagrangian Equations for Turbulent Motion and Buoyancy in Inhomogeneous Flows. Phys. Fluids 9, 703-716.
  30. Heinz, S. & Schaller, E. 1996 On the Influence of Non-Gaussianity on Turbulent Transport. Bound.-Layer Meteorol. 81, 147-166.
  31. Heinz, S. 1994 A Lagrangian Model for Atmospheric Pollutant Diffusion. Meteorol. Zeitschrift N.F. 3, 202-206.

Edited Books and Journals

  1. Heinz, S., Stoellinger, M. & Gopalan, H. 2015 Unified RANS-LES Simulations of Turbulent Swirling Jets and Channel Flows. In: Progress in Hybrid RANS-LES Modelling (Notes on Numerical Fluid Mechanics and Multidisciplinary Design). Springer, Berlin, Heidelberg, 235-244.
  2. Stoellinger, M., Heinz, S. & Saha, P. 2015 Reynolds Stress Closure in Hybrid RANS-LES Methods. In: Progress in Hybrid RANS-LES Modelling (Notes on Numerical Fluid Mechanics and Multidisciplinary Design). Springer, Berlin, Heidelberg, 283-292.
  3. Stoellinger, M. K., Heinz, S.  & Balakumar, P. 2014 Attached and Separated Flow Simulations with Realizable Unified RANS-LES Methods. In: AIAA Aviation 2014, Atlanta, GA, AIAA Paper 14-3327.
  4. Heinz, S. & Gopalan, H. 2014 Wind Energy Applications of Unified and Dynamic Turbulence Models. In: Wind Energy – Impact of Turbulence (Research Topics in Wind Energy 2), edited by Hoelling, M., Peinke, J. & Ivanell, S., Springer, ISBN: 978 3 642 54696 9, Heidelberg, New York, Dordrecht, London, 141-146.
  5. Heinz, S., Zemtsop, C. P., Gopalan, H. & Stoellinger, M. K. 2014 Unified RANS-LES Analysis of Turbulent Jets Covering Several Swirl Number Regimes. In: 52st AIAA Aerospace Sciences Meeting and Exhibit, National Harbor, MD, AIAA Paper 14-0589.
  6. Saha, P., Heinz, S., Kazemi Foroushani, E. & Stoellinger, M. K. 2014 Turbulence Structure Characteristics of LES Methods Implied by Stochastic Turbulence Models. In: 52st AIAA Aerospace Sciences Meeting and Exhibit, National Harbor, MD, AIAA Paper 14-0592.
  7. Heinz, S. 2013 Realizable Unified RANS-LES and Dynamic LES Methods for Turbulent Flow Simulations. In: 51st AIAA Aerospace Sciences Meeting and Exhibit, Grapevine, TX, AIAA Paper 13-0686.
  8. Stoellinger, M. K., Gopalan, H., Kazemi Foroushani, E. & Heinz, S. 2013 Atmospheric Boundary Layer Studies with Unified RANS-LES and Dynamic LES Methods. In: 51st AIAA Aerospace Sciences Meeting and Exhibit, Grapevine, TX, AIAA Paper 13-0747.
  9. Rai, R., Gopalan, H., Heinz, S. & Naughton, J. W. 2012 A Study of the Sensitivity of Wind Turbine Response to Inflow Temporal and Spatial Resolution. In: 50th AIAA Aerospace Sciences Meeting and Exhibit, Nashville, TN, AIAA Paper 12-0819.
  10. Naughton, J. W., Balas, M., Gopalan, H., Gundling, C., Heinz, S., Kelly, R., Lindberg, W., Rai, R., Sitarama, J. & Singh, M. 2011 Turbulence and the Isolated Wind Turbine. In: Proceedings of the 6th AIAA Theoretical Fluid Mechanics Conference 2011, Honolulu, Hawaii, ISBN: 978-1-61839-172-8, Curran Associates, Inc., Red Hook, NY, 852-870.
  11. Stoellinger, M., Roekaerts, D., Naud, B., Heinz, S. & Beishuizen, N. 2011 Application of the Transported PDF Method in Pulverized Coal Combustion. European Combustion Meeting, Cardiff, UK, 1-6.
  12. Gopalan, H. & Heinz, S. 2011 A New Realizable Subgrid-Scale Stress Model for Large Eddy Simulation of Neutral Atmospheric Boundary Layer. In: 49th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, AIAA Paper 11-556.
  13. Gopalan, H., Heinz, S. & Stoellinger, M. K. 2011 Simulation of Turbulent Channel Flow Using a Linear and Non Linear Realizable Unified RANS-LES Model. In: 49th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, AIAA Paper 11-752.
  14. Gopalan, H., Zemtsop, C. P., Heinz, S. & Stoellinger, M. K. 2011 Investigation of Vortex Breakdown and Scalar Mixing in Swirling Turbulent Jet Flows Using Unified LES-RANS Models. In: 49th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, AIAA Paper 11-768.
  15. Gopalan, H., Stoellinger, M. K. & Heinz, S. 2010 Analysis of a Realizable Unified RANS-LES Model. In: 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, AIAA Paper 10-1102.
  16. Stoellinger, M. K., Zemtsop, C. P., Gopalan, H. & Heinz, S. 2010 Realizable Unified RANS-LES Simulations of Swirling and Non-Swirling Turbulent Jets. In: 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, AIAA Paper 10-1289.
  17. Zemtsop, C. P., Stoellinger, M. K., Heinz, S. & Stanescu, D. 2009 Swirl-Induced Mixing Enhancement in Turbulent Jet Flows. In: 47th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, AIAA Paper 09-1510/1-14.
  18. Zemtsop, C. P., Stoellinger, M. K., Heinz, S. & Stanescu, D. 2008 Large Eddy Simulation of Swirling Turbulent Jet Flows. In: Proceedings of the 16th Annual Conference of the CFD Society of Canada, edited by Bergstrom, D. J. & Spiteri, R., Saskatoon, 1-8.
  19. Stoellinger, M. K. & Heinz, S. 2008 Scalar Mixing Modeling in PDF Simulations of Turbulent Premixed Flames, In: Proceedings of the 16th Annual Conference of the CFD Society of Canada, edited by Bergstrom, D. J. & Spiteri, R., Saskatoon, 1-8.
  20. Stoellinger, M.K. & Heinz, S. 2007 PDF Simulation of Premixed Bunsen Flames. In: Proceedings of the 5th International Symposium on Turbulence and Shear Flow Phenomena, edited by Friedrich, R., Adams, N. A., Eaton, J. K.., Humphrey, J. A. C., Kasagi, N. & Leschziner, M. A., Munich, 1131-1136.
  21. Stoellinger, M.K., Zemtsop, C.P., Heinz, S. & Stanescu, D. 2007 A RANS-LES Study of Swirling and Non-Swirling Jets. In: 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper 07-0925/1-10.
  22. Stoellinger, M. & Heinz, S. 2007 Mixing Modeling for Stochastic Simulations of Turbulent Premixed Flames. Proc. Appl. Math. Mech. 7, 4090001-4090002.
  23. Heinz, S. 2007 Statistical Modeling of Compressible Turbulent Channel Flow. Proc. Appl. Math. Mech. 7, 4090005-4090006.
  24. Heinz, S. 2006 Stochastic Multi-Scale Methods for Turbulent Flow Simulations. Proc. Appl. Math. Mech. 6, 669-670.
  25. Heinz, S. & Friedrich, R. 2005 PDF / FDF Methods for the Prediction of Supersonic Turbulent Combustion. In: Basic Research and Technologies for Two-Stage-to-Orbit Vehicles, edited by Jakob, D., Sachs, G. & Wagner, S., Wiley-VCH, ISBN: 3 527 27735 8, Weinheim, 269-283.
  26. Heinz, S., Foysi, H. & Friedrich, R. 2005 A K-Omega Analysis of Turbulent Supersonic Channel Flow DNS Data. In: Proceedings of the 4th International Symposium on Turbulence and Shear Flow Phenomena, edited by Eaton, J. K., Friedrich, R., Gatski, T. B. & Humphrey, J. A. C., Williamsburg, 1007-1012.
  27. Heinz, S. 2004 Unified Turbulence Models: From FDF to PDF, from LES to RANS. Bull. Am. Phys. Soc. 49, 55.
  28. Heinz, S. 2004 Stochastic Models for the Turbulent Mixing of Scalars. In: Micromixing in Turbulent Reactive Flows, edited by Frolov, S., Frost, V. & Roekaerts, D., Torus Press, ISBN: 5 94588 024 8, Moscow, 95-99.
  29. Heinz, S. & Foysi, H. 2004 Supersonic Channel Flow: The Effect of Compressibility in Turbulence Models. In: Advances in Turbulence X, Proceedings of the Tenth European Turbulence Conference, edited by Andersson, H. I. & Krogstad, P.-Å., CIMNE, International Center for Numerical Methods in Engineering, ISBN: 84 95999 55 2, Barcelona, 685-688.
  30. Heinz, S. & Friedrich, R. 2004 PDF/FDF-Methoden zur Prognose Turbulenter Ueberschallverbrennung. In: Seminar des Sonderforschungsbereichs 255, edited by G. Sachs, Hieronimus, ISBN 3 89791 334 8, Muenchen, 37-46.
  31. Heinz, S. & Friedrich, R. 2001 PDF-Berechnung Turbulenter Reaktiver Ueberschallstroemungen. In: Seminar des Sonderforschungsbereichs 255, edited by G. Sachs, Hieronimus, ISBN 3 89791 175 2, Muenchen, 13-24.
  32. Heinz, S. & Roekaerts, D. 1999 PDF Modelling of Turbulent Reacting Flows: Reynolds and Damköhler Number Effects. In: Turbulence and Shear Flow-1, edited by Banarjee, S. & Eaton, J. K., Begell House Inc., ISBN: 1 56700 135 1, New York, Wallingford, 339-344.
  33. Heinz, S. & Roekaerts, D. 1998 Effect of Mixing on the Atmospheric NO-O3 System. In: AIR POLLUTION VI, edited by Brebbia, C. A., Ratto, C. F. & Power, H., WIT Press / Comput. Mech. Publ., ISBN: 1 85312 605 5, Southampton, Boston, 3-12.
  34. Heinz, S. 1998a Mixing and Reaction in Stratified Flow: Lagrangian PDF Methods. Annales Geophysicae 16, 1102.
  35. Heinz, S. 1998b Buoyant Plume Rise Calculated by Lagrangian and Eulerian Modelling. In: Air Pollution Modeling and Its Application XII, NATO Challenges of Modern Society Volume 22, edited by Gryning, S.-E. & Chaumerliac, N., Plenum Press, ISBN: 0 306 45821 7, New York, London, 451-458.
  36. Heinz, S. 1997 Connections between Lagrangian Stochastic Models and the Closure Theory of Turbulence for Stratified Flows. In: Turbulence, Heat and Mass Transfer 2, edited by Hanjalic, K. & Peeters, T. W. J., Delft University Press, ISBN: 90 407 1465 7, Delft, 321-330.
  37. Heinz, S., Cadiou, A. & Hanjalic, K. 1997 Turbulent Energy Transport in Non-Neutral Shear Flows. In: Proceedings of the 11th Symposium on Turbulent Shear Flows, edited by Lesieur, M., Binder, G., Launder, B. E. & Whitelaw, J. H., Grenoble, 2313-2318.
  38. Heinz, S., Roekaerts, D. & van Dop, H. 1997 Modelling Turbulence and Turbulent Dispersion in the Stratified Atmospheric Boundary Layer by PDF Methods. In: AIR POLLUTION V, Modeling, Monitoring and Management, edited by Power, H., Tirabassi, T. & Brebbia, C. A., Comput. Mech. Publ., ISBN: 1 85312 473 7, Southampton, Boston, 119-128.
  39. Heinz, S., Peeters, T. & Roekaerts, D. 1997 PDF Methods for Turbulent Reactive Flows: Modeling of Atmospheric Boundary Layer and Turbulent Dispersion of Reactive Substances. In: 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Volume 2, Numerical Mathematics, edited by Sydow, A., Wissenschaft und Technik Verlag, ISBN 3 89685 552 2, Berlin, 745-749.
  40. Heinz, S., Roekaerts, D. & Peeters, T. 1997 PDF Modelling of the Turbulent Transport of Reactive Substances in a Stratified Boundary Layer. In: Turbulence, Heat and Mass Transfer 2, edited by Hanjalic, K. & Peeters, T. W. J., Delft University Press, ISBN: 90 407 1465 7, Delft, 613-618.
  41. Schäfer, K., Haus, R., Heland, J. & Heinz, S. 1997 Remote Sensing of Emission Rates from Gaseous Emission Sources. In: Proc. of EUROTRAC Symposium '96, Transport and Transformation of Pollutants in the Troposphere, Volume 2: Emissions, Deposition, Laboratory Work and Instrumentation, edited by Borell, P. M., Borell, P., Kelly, K., Cvitas, T., Seiler, W., Comput. Mech. Publ., ISBN 1 85312 498 2, Southampton, Boston, 87-91.
  42. Heinz, S. 1996 Dispersion Parameters and Plume Rise calculated by Lagrangian Modelling. In: Proceedings of the 4th Workshop on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, edited by Kretschmar, J. G. & Cosemans, G., Oostende, 579-580.
  43. Schäfer, K., Haus, R. & Heinz, S. 1996 Determination of Emission Rates from Diffuse Sources by Ambient FTIR-Absorption-Spectrometry and Adapted Dispersion Modelling. In: Optical Remote Sensing for Environmental and Process Monitoring, edited by Romano, R. R., VIP-55, SPIE 2883, ISBN 0-8194-2281-9, Chemical Manufacturer's Association, 405-417.
  44. Heinz, S. & Schäfer, K. 1996 Estimation of Emission Rates of Buoyant Plumes. In: Proceedings of the 4th Workshop on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, edited by Kretschmar, J. G. & Cosemans, G., Oostende, 581-582.
  45. Heinz, S. 1995a Lagrangian Modelling of Turbulent Diffusion, Buoyancy and Chemical Processes. In: Air Pollution III Volume 1: Air Pollution Theory and Simulation, edited by Power, H., Moussiopoulos, N. & Brebbia, C. A., Comput. Mech. Publ., ISBN 1 85312 442 7, Southampton, Boston, 77-84.
  46. Heinz, S. 1995b Die geschlossene Beschreibung turbulenter Strömung, Auftrieb und Diffusion. Annalen der Meteorologie 31, 370-371.
  47. Heinz, S., Knoche, R. & Schäfer, K. 1995a Emissions of Diffuse Sources Estimated by Immission Measurements. In: Air Pollution III Volume 2: Air Pollution Engineering and Management, edited by Power, H., Moussiopoulos, N. & Brebbia, C. A., Comput. Mech. Publ., ISBN 1 85312 442 7, Southampton, Boston, 347-354.
  48. Heinz, S., Knoche, R. & Schäfer, K. 1995b Optimized Estimation of Emission Rates of Diffuse Sources by Dispersion Modelling. In: Air Pollution and Visibility Measurements, edited by Fabian, P., Klein, V., Tacke, M., Weber, K. & Werner, Ch., Proc. SPIE 2506, ISBN 0 8194 1864 1, 179-188.
  49. Heinz, S., Schäfer, K. & Knoche, R. 1995 Die Bestimmung von Emissionsraten diffuser Quellen durch optische Fernsondierung und Dispersionsmodellierung. Annalen der Meteorologie 31, 261-262.
  50. Heinz, S. 1994 Fluid Particle Motion in Inhomogeneous and Non-Gaussian Turbulence. In: Air Pollution Modelling and its Application X, edited by Gryning, S. V. & Millan, M. M., Plenum Press, ISBN 0 306 44888 2, New York, London, 611-612.
  51. Heinz, S. & Schaller, E. 1994 Modelling of Buoyancy and Chemical Reactions in a Lagrangian Framework. In: Air Pollution II Volume 1: Computer Simulation, edited by Baldasano, J. M., Brebbia, C. A., Power, H. & Zannetti, P., Comput. Mech. Publ., ISBN 1 85312 360 9, Southampton, Boston, 125-132.
  52. Heinz, S., Knoche, R. & Schäfer, K. 1994a Optimization and Management of Ambient Pollutant Concentration Measurements by Dispersion Modelling. In: Air Pollution II Volume 1: Computer Simulation, edited by Baldasano, J. M., Brebbia, C. A., Power, H. & Zannetti, P., Comput. Mech. Publ., ISBN 1 85312 360 9, Southampton, Boston, 531-536.
  53. Heinz, S., Knoche, R. & Schäfer, K. 1994b Estimation of Emission Rates by Optimized Ambient Pollutant Concentration Measurements. In: Proceedings of the 3rd Workshop on Harmonization within Atmospheric Dispersion Modelling for Regulatory Purposes, edited by Kretschmar, J. G., Maes, G. & Cosemans, G., Mol, 433-434.
  54. Heinz, S., Keuler, K. & Schaller, E. 1992 Schadstoffausbreitung in einem Alpental. Annalen der Meteorologie 27, 340.
  55. Heinz, S. 1990 The Description of Fluid Particle Motion in a Turbulent Flow. In: Proceedings of the 9th Symposium on Turbulence and Diffusion, edited by Jensen, N. O., Kristensen, L. & Larsen, S. E., American Meteorological Society, Roskilde, 319-320.
  56. Heinz, S. 1989 The Derivation of a Stochastic Differential Equation for Fluid Particle Motion in a High-Reynolds Number Turbulent Flow. In: Proceedings of the 5th EPS Liquid State Conference, edited by A. M. Obukhov, Moscow, 89-92.