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. & Fagbade, A. 2025 Evaluation metrics for partially and fully resolving simulations methods for turbulent flows. Int. J. Heat Fluid Flow.

2.     Heinz S. 2024 Physically Consistent Resolving Simulations of Turbulent Flows. Entropy 26 (12), 1044/1 - 1044/20.

3.     Heinz, S. 2024 The Potential of Machine Learning Methods for Separated Turbulent Flow Simulations: Classical Versus Dynamic Methods. Fluids 9 (12), 278/1 - 278/22.

4.     Fagbade, A. & Heinz, S. 2024 Continuous Eddy Simulation (CES) of Transonic Shock-Induced Flow Separation. Appl. Sci. 14, 2705/1-2705/22.

5.     Heinz, S. 2024 The Law of the Wall and von Karman Constant: An Ongoing Controversial Debate. Fluids 9, 63/1-25/12.

6.     Fagbade, A. & Heinz, S. 2024 Continuous Eddy Simulation vs. Resolution-Imposing Simulation Methods for Turbulent Flows. Fluids 9, 22/1-22/29.

7.     Heinz, S. 2024 The Asymptotic Structure of Canonical Wall-Bounded Turbulent Flows. Fluids 9, 25/1-25/10.

8.     Heinz, S. 2023 A Mathematical Solution to the Computational Fluid Dynamics (CFD) Dilemma. Mathematics 11, 3199/1-3199/17.

9.     Heinz, S. 2022 From Two-Equation Turbulence Models to Minimal Error Resolving Simulation Methods for Complex Turbulent Flows. Fluids 7, 368/1-368/17.

10.  Heinz, S., Heinz, J. & Brant, J. A. 2022 Mass Transport in Membrane Systems: Flow Regime Identification by Fourier Analysis. Fluids 7, 369/1-369/20.

11.  Heinz, S. 2022 Minimal Error Partially Resolving Simulation Methods for Turbulent Flows: A Dynamic Machine Learning Approach. Phys. Fluids 34, 051705/1-051705/7.

12.  Sarnitsky, G. & Heinz, S. 2022 Nonparametric Inference for Diffusion Processes in Systems with Smooth Evolution. Physica A Stat. Mech. Appl. 598, 127386/1-127386/11.

13.  Heinz, S. 2022 Remarks on Energy Partitioning Control in the PITM Hybrid RANS/LES Method for the Simulation of Turbulent Flows. Flow, Turb. Combust. 108, 927-933.

14.  Plaut, E. & Heinz, S. 2022 Exact Eddy-Viscosity Equation for Turbulent Wall Flows - Implications for Computational Fluid Dynamics Models. AIAA J. 60, 1347-1364.

15.  Heinz, S., Peinke, J. & Stoevesandt, B. 2021 Cutting- Edge Turbulence Simulation Methods for Wind Energy and Aerospace Problems. Fluids 6, 288/1-288/15.

16.  Heinz, S. 2021 Theory-Based Mesoscale to Microscale Coupling for Wind Energy Applications. Appl. Math. Model. 98, 563-575.

17.  Heinz, S. 2021 The Continuous Eddy Simulation Capability of Velocity and Scalar Probability Density Function Equations for Turbulent Flows. Phys. Fluids 33, 025107/1-025107/13.

18.  Sarnitsky, G. & Heinz, S. 2020 Langevin Models for Non-Homogeneous Turbulent Flows: Determination of the Coefficients. EPL (Europhysics Letters) 132, 14001/1-14001/7.

19.  Heinz, S., Mokhtarpoor, R. & Stoellinger, M. K. 2020 Theory-Based Reynolds-Averaged Navier-Stokes Equations with Large Eddy Simulation Capability for Separated Turbulent Flow Simulations. Phys. Fluids 32, 065102/1 - 065102/20.

20.  Wurps, H., Steinfeld. G. & Heinz, S. 2020 Grid-Resolution Requirements for Large-Eddy Simulations of the Atmospheric Boundary Layer. Boundary-Layer Meteorol. 175, 179-201.

21.  Heinz, S. 2020 A Review of Hybrid RANS-LES Methods for Turbulent Flows: Concepts and Applications. Prog. Aerosp. Sci. 114, 100597/1 - 100597/25.

22.  Heinz, S. 2019 Comment on Gas Kinetic Scheme for Turbulence Simulation. Aerosp. Sci. Technol. 93, 105263/1-105263/2.

23.  Heinz, S. 2019 The Large Eddy Simulation Capability of Reynolds-Averaged Navier-Stokes Equations: Analytical Results. Phys. Fluids 31, 021702/1- 021702/6.

24.  Heinz, S. 2019 On Mean Flow Universality of Turbulent Wall Flows. II. Asymptotic Flow Analysis. J. Turbul. 20, 174-193. Supplementary Material.

25.  Heinz, S. 2018 On Mean Flow Universality of Turbulent Wall Flows. I. High Reynolds Number Flow Analysis. J. Turbul. 19, 929-958. Supplementary Material.

26.  Mokhtarpoor, R., & Heinz, S. 2017 Dynamic Large Eddy Simulation: Stability via Realizability. Phys. Fluids 29, 105104/1-22.

27.  Stoellinger, M., Heinz, S., Zemtsop, C., Gopalan, H. & Mokhtarpoor, R. 2017 Stochastic-Based RANS-LES Simulations of Swirling Turbulent Jet Flows. Int. J. Nonlinear Sciences Numerical Simulation 18, 351-369.

28.  Mokhtarpoor, R., Heinz, S. & Stoellinger, M. K. 2016 Dynamic Unified RANS-LES Simulations of High Reynolds Number Separated Flows. Phys. Fluids 28, 095101/1-36.

29.  Heinz, S. 2016 Comments on a Priori and a Posteriori Evaluations of Sub-grid Scale Models for the Burgers' Equation. Computers and Fluids 138, 35-37.

30.  Kazemi, E. & Heinz, S. 2016 Dynamic Large Eddy Simulations of the Ekman Layer Based on Stochastic Analysis. Int. J. Nonlinear Sciences Numerical Simulation 17, 77-98.

31.  Heinz, S. 2015 Comment on Analysis of Transport Properties Determined by Langevin Dynamics Using Green-Kubo Formulae. Physica A 423, 27-32.

32.  Heinz, S. 2014 Uncertainty Quantification of World Population Growth: A Self-Similar PDF Model. Monte Carlo Methods Applic. 20, 261-277.

33.  Gopalan, H., Heinz, S. & Stoellinger, M. 2013 A Unified RANS-LES Model: Computational Development, Accuracy and Cost. J. Comput. Phys. 249, 249-279.

34.  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.

35.  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.

36.  Heinz, S. & Gopalan, H. 2012 Realizable Versus Non-Realizable Dynamic Sub-Grid Scale Stress Models. Phys. Fluids 24, 115105/1-23.

37.  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.

38.  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.

39.  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.

40.  Heinz, S. 2008 Realizability of Dynamic Subgrid-Scale Stress Models via Stochastic Analysis. Monte Carlo Methods Applic. 14, 311-329.

41.  Stoellinger, M. & Heinz, S. 2008 PDF Modeling and Simulation of Premixed Turbulent Combustion. Monte Carlo Methods Applic. 14, 343-377.

42.  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.

43.  Heinz, S. 2007 Unified Turbulence Models for LES and RANS, FDF and PDF Simulations. Theor. Comput. Fluid Dyn. 21, 99-118.

44.  Heinz, S. 2006 Turbulent Supersonic Channel Flow: Direct Numerical Simulation and Modeling, AIAA Journal 44, 3040-3050.

45.  Heinz, S. 2005 Comment on "A dynamic nonlinear subgrid-scale stress model" [Phys. Fluid 17, 035109 (2005)]. Phys. Fluids 17, 099101/1-2.

46.  Heinz, S. 2005 Stochastic Models for the Turbulent Mixing of Scalars. Khimicheskaya Fizika (Russian Journal of Chemical Physics) 24 (9), 33-50.

47.  Heinz, S. 2004 Molecular to Fluid Dynamics: The Consequences of Stochastic Molecular Motion. Physical Review E 70, 036308/1-11.

48.  Heinz, S. 2003 A Model for the Reduction of the Turbulent Energy Redistribution by Compressibility. Phys. Fluids 15, 3580-3583.

49.  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.

50.  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.

51.  Heinz, S. 2002 On the Kolmogorov Constant in Stochastic Turbulence Models. Phys. Fluids 14, 4095-4098.

52.  Heinz, S. 2001 Advanced Methods to Compute Multiphase Turbulent Reacting Flows. Z. Angew. Math. Mech. 81, S471-472.

53.  Heinz, S. & Roekaerts, D. 2001 Reynolds Number Effects on Mixing and Reaction in a Turbulent Pipe Flow. Chem. Eng. Sci. 56, 3197-3210.

54.  Heinz, S. & van Dop, H. 1999 Buoyant Plume Rise described by a Lagrangian Turbulence Model. Atmos. Env. 33, 2031-2043.

55.  Heinz, S. 1999. Recent Developments in the Statistical Modelling of Turbulent Flows. Z. Angew. Math. Mech. 79, S119-122.

56.  Heinz, S. 1998 Time Scales of Stratified Turbulent Flows and Relations between Second-Order Closure Parameters and Flow Numbers. Phys. Fluids 10, 958-973.

57.  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.

58.  Heinz, S. 1997 Nonlinear Lagrangian Equations for Turbulent Motion and Buoyancy in Inhomogeneous Flows. Phys. Fluids 9, 703-716.

59.  Heinz, S. & Schaller, E. 1996 On the Influence of Non-Gaussianity on Turbulent Transport. Bound.-Layer Meteorol. 81, 147-166.

60.  Heinz, S. 1994 A Lagrangian Model for Atmospheric Pollutant Diffusion. Meteorol. Zeitschrift N.F. 3, 202-206.

Edited Books and Journals

  1. Heinz, S. & Fagbade, A. 2025 Physically consistent Reynolds-Averaged Navier-Stokes equations with large eddy simulation capability. In: 11th International Symposium on Turbulence, Heat and Mass Transfer (THMT'25). Begell House Inc.
  2. Heinz, S. 2025 Machine learning for separated turbulent flow simulations: Classical versus dynamic methods. In: 11th International Symposium on Turbulence, Heat and Mass Transfer (THMT'25). Begell House Inc.
  3. Heinz, S. & Fagbade, A. 2025 A Critical Review of Hybrid RANS-LES Concepts: Continuous Eddy Simulation Versus Classical Methods. In: AIAA SCITECH 2025, Orlando, FL, AIAA Paper 25-2214.
  4. Heinz, S. 2025 The Universality of the Law of the Wall: A Key to Reveal the Asymptotic Structure of Turbulent Flows. In: AIAA SCITECH 2025, Orlando, FL, AIAA Paper 25-2757.
  5. Heinz, S. & Fagbade, A. 2024 Continuous Eddy Simulation (CES): Conceptual approach and applications. TSFP-13, Montreal, Canada, TSFP Paper 2024-277, 182/1-182/6.
  6. Heinz, S. 2024 The universality of the law of the wall: A long-lasting controversial debate. TSFP-13, Montreal, Canada, TSFP Paper 2024-327, 135/1-135/6.
  7. Heinz, S. & Fagbade, A. 2024 Benefits of Minimal Error Simulation Methods for Turbulent Flows. In: AIAA SCITECH 2024, Orlando, FL, AIAA Paper 24-0293.
  8. Heinz, S. 2024 Physics-Informed Minimal Error Simulation Methods for Turbulent Flow Predictions. In: Progress in Turbulence X (Springer Proceedings in Physics 1066), edited by Orlu, R., Talamelli, A., Peinke, J., Oberlack, M., Springer Nature Switzerland, ISBN: 978-3-031-55923-5, Cham, Switzerland, 303-309.
  9. Fagbade, A. & Heinz, S. 2022 Application of Mode-Controlled Hybrid RANS-LES to the NASA Wall-Mounted Hump Flow. In: AIAA Aviation 2022, AIAA Paper 22-0180.
  10. Heinz, S., Mokhtarpoor, R. & Stoellinger, M. K. 2021 Hybrid RANS-LES Periodic Hill Flow Simulations up to Extreme Reynolds Numbers. In: AIAA Aviation 2021, AIAA Paper 21-1440.
  11. Heinz, S. 2021 Theory-Based Mesoscale to Microscale Coupling for Wind Energy Applications. In: AIAA Aviation 2021, AIAA Paper 21-0453.
  12. Heinz, S., Mokhtarpoor, R. & Stoellinger, M. K. 2020 Application of Mode-Controlled Hybrid RANS-LES. In: AIAA Aviation 2020, Orlando, FL, AIAA Paper 20-1073.
  13. Heinz, S. 2020 Hybrid RANS-LES Derived From Theory. In: AIAA Aviation 2020, Orlando, FL, AIAA Paper 20-1072.
  14. Heinz, S., Mokhtarpoor, R. & Stoellinger, M. K. 2020 Hybrid RANS-LES Methods with Continuous Mode Variation. In: Direct and Large-Eddy Simulation XII (ERCOFTAC Series), Springer, Cham, Heidelberg, New York, Dordrecht, London, 441-447.
  15. Ahmadi, G., Kassem, H., Peinke, J. & Heinz, S. 2019 Dynamic Large Eddy Simulation: Benefits of Honoring Realizability. TSFP-11, Southampton, UK, TSFP Paper 2019-P-9, 1-6.
  16. Heinz, S., Mokhtarpoor, R. & Stoellinger, M. K. 2019 Physics-Based Control of Hybrid RANS-LES Methods. In: AIAA Aviation 2019, San Diego, CA, AIAA Paper 19-0327.
  17. Stoellinger, M. K., Mokhtarpoor, R. & Heinz, S. 2019 Hybrid RANS-LES Modeling Using Smooth and Rough Wall Functions. In: AIAA Aviation 2019, San Diego, CA, AIAA Paper 19-1576.
  18. Stoellinger, M., Kirby, A., Edmonds, A, Mavriplis, D. J. & Heinz, S. 2019 Dynamic SGS Modeling in LES Using DG with Kinetic Energy Preserving Flux Schemes. In: AIAA Aviation 2019, San Diego, CA, AIAA Paper 19-1648.
  19. Ahmadi, G., Peinke, J., Kassem, H., Stoevesandt, B. & Heinz, S.2019 Wall-Bounded Turbulent Flows up to High Reynolds Numbers: LES Resolution Assessment. In: AIAA Aviation 2019, San Diego, CA, AIAA Paper 19-1887.
  20. Ahmadi, G., Peinke, J., Kassem, H., Stoevesandt, B., Mokhtarpoor, R. & Heinz, S.2019 Realizable Dynamic LES of High Reynolds Number Turbulent Wall Bounded Flows. In: AIAA Aviation 2019, San Diego, CA, AIAA Paper 19-2140.
  21. Mokhtarpoor, R. Heinz, S. & Stoellinger, M. K. 2019 Realizable dynamic large eddy simulation. In: Direct and Large-Eddy Simulation XI (ERCOFTAC Series), Springer, ISBN: 978-3-030-04915-7, Cham, Heidelberg, New York, Dordrecht, London, 115-121.
  22. Mokhtarpoor, R. Heinz, S. & Stoellinger, M. K. 2019 Dynamic unified RANS-LES simulations of periodic hill flow. In: Direct and Large-Eddy Simulation XI (ERCOFTAC Series), Springer, ISBN: 978-3-030-04915-7, Cham, Heidelberg, New York, Dordrecht, London, 469-476.
  23. Mokhtarpoor, R., Stoellinger, M. K. & Heinz, S. 2018 Realizable Dynamic Hybrid LES Model Developments. In: AIAA Aviation 2018, Kissimmee, FL, AIAA Paper 18-1087.
  24. Mokhtarpoor, R., Heinz, S. & Stoellinger, M. K. 2017 Dynamic Unified RANS-LES Simulations of Periodic Hill Flow at High Reynolds Number. TSFP-10, Chicago, IL, USA, TSFP Paper 2017-9C-4, 1-6.
  25. Mokhtarpoor, R., Heinz, S. & Stoellinger, M. K. 2017 Realizability and Stability Analysis of Dynamic LES. TSFP-10, Chicago, IL, USA, TSFP Paper 2017-P-27, 1-6.
  26. Mokhtarpoor, R., Heinz, S., Stoellinger, M. K. & Balakumar, P. 2017 Dynamic Large Eddy Simulation: Analysis of Stability and Realizability. In: AIAA Aviation 2017, Grapevine, TX, AIAA Paper 17-0992.
  27. Mokhtarpoor, R., Heinz, S. & Stoellinger, M. K. 2017 LES and Hybrid RANS-LES of High Reynolds Number Separated Flows. In: AIAA Aviation 2017, Grapevine, TX, AIAA Paper 17-0994.
  28. Mokhtarpoor, R., Heinz, S., Stoellinger, M. K. & Balakumar, P. 2016 Realizable Dynamic Large Eddy Simulation of Separated Flows. In: AIAA Aviation 2016, San Diego, CA, AIAA Paper 16-1835.
  29. Mokhtarpoor, R., Heinz, S. & Stoellinger, M. K. 2016 Unified RANS-LES Simulations of Separated Flow at High Reynolds Number. In: AIAA Aviation 2016, San Diego, CA, AIAA Paper 16-1602.
  30. Heinz, S., Gopalan, H., Kazemi Foroushani, E., Stoellinger, M., Mokhtarpoor, R. & Balakumar, P. 2015 Realizable Dynamic LES Subgrid-Scale Modeling. TSFP-9, Melbourne, Australia, TSFP Paper 2015-1B-5, 1-6.
  31. Stoellinger, M., Roy, R. & Heinz, S. 2015 Unified RANS-LES Method Based on Second-Order Closure. TSFP-9, Melbourne, Australia, TSFP Paper 2015-P-44, 1-6.
  32. 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 130). Springer, ISBN: 978 3 319 15140 3, Cham, Heidelberg, New York, Dordrecht, London, 265-275.
  33. 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 130). Springer, ISBN: 978 3 319 15140 3, Cham, Heidelberg, New York, Dordrecht, London, 319-328.
  34. 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.
  35. 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 54695 2, Heidelberg, New York, Dordrecht, London, 141-146.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. 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.
  41. 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.
  42. 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.
  43. 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.
  44. 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.
  45. 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.
  46. 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.
  47. Gopalan, H., Stoellinger, M. K., Zemtsop, C. P., & Heinz, S. 2010 Investigation of Non-Swirling and Swirling Turbulent Jet Flows using Unified LES-RANS Models. In: 48th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, AIAA Paper 10-1289.
  48. 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.
  49. 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.
  50. 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.
  51. 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.
  52. 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.
  53. Stoellinger, M. & Heinz, S. 2007 Mixing Modeling for Stochastic Simulations of Turbulent Premixed Flames. Proc. Appl. Math. Mech. 7, 4090001-4090002.
  54. Heinz, S. 2007 Statistical Modeling of Compressible Turbulent Channel Flow. Proc. Appl. Math. Mech. 7, 4090005-4090006.
  55. Heinz, S. 2006 Stochastic Multi-Scale Methods for Turbulent Flow Simulations. Proc. Appl. Math. Mech. 6, 669-670.
  56. 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.
  57. 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.
  58. Heinz, S. 2004 Unified Turbulence Models: From FDF to PDF, from LES to RANS. Bull. Am. Phys. Soc. 49, 55.
  59. 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.
  60. 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.-A., CIMNE, International Center for Numerical Methods in Engineering, ISBN: 84 95999 55 2, Barcelona, 685-688.
  61. 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.
  62. 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.
  63. Heinz, S. & Roekaerts, D. 1999 PDF Modelling of Turbulent Reacting Flows: Reynolds and Damkoehler 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.
  64. 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.
  65. Heinz, S. 1998a Mixing and Reaction in Stratified Flow: Lagrangian PDF Methods. Annales Geophysicae 16, 1102.
  66. 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.
  67. 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.
  68. 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.
  69. 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.
  70. 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.
  71. 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.
  72. Schaefer, 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.
  73. 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.
  74. Schaefer, 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.
  75. Heinz, S. & Schaefer, 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.
  76. 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.
  77. Heinz, S. 1995b Die geschlossene Beschreibung turbulenter Stroemung, Auftrieb und Diffusion. Annalen der Meteorologie 31, 370-371.
  78. Heinz, S., Knoche, R. & Schaefer, 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.
  79. Heinz, S., Knoche, R. & Schaefer, 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.
  80. Heinz, S., Schaefer, K. & Knoche, R. 1995 Die Bestimmung von Emissionsraten diffuser Quellen durch optische Fernsondierung und Dispersionsmodellierung. Annalen der Meteorologie 31, 261-262.
  81. 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.
  82. 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.
  83. Heinz, S., Knoche, R. & Schaefer, 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.
  84. Heinz, S., Knoche, R. & Schaefer, 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.
  85. Heinz, S., Keuler, K. & Schaller, E. 1992 Schadstoffausbreitung in einem Alpental. Annalen der Meteorologie 27, 340.
  86. 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.
  87. 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.