
Publications of Stefan Heinz
Books
- Heinz, S. & Bessaih, H.
2015 (Eds.) Stochastic
Equations for Complex Systems: Theoretical and Computational Topics.
Springer-Verlag, Heidelberg, Dordrecht, London, New York.
- Heinz, S. 2011 Mathematical Modeling.
Springer-Verlag, Heidelberg, Dordrecht, London, New York.
- 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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Heinz, S. & Fagbade, A.
2024 Benefits
of Minimal Error Simulation Methods for Turbulent Flows. In: AIAA SCITECH 2024, Orlando, FL, AIAA Paper 24-0293.
- 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.
- 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.
- 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.
- Heinz, S. 2021 Theory-Based
Mesoscale to Microscale Coupling for Wind Energy Applications. In:
AIAA Aviation 2021, AIAA Paper 21-0453.
- 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.
- Heinz, S. 2020 Hybrid RANS-LES
Derived From Theory. In:
AIAA Aviation 2020, Orlando, FL, AIAA
Paper 20-1072.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Mokhtarpoor, R., Stoellinger,
M. K. & Heinz, S. 2018 Realizable Dynamic
Hybrid LES Model Developments. In: AIAA Aviation 2018, Kissimmee, FL,
AIAA Paper 18-1087.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Stoellinger, M. & Heinz,
S. 2007 Mixing
Modeling for Stochastic Simulations of Turbulent Premixed Flames.
Proc. Appl. Math. Mech. 7, 4090001-4090002.
- Heinz, S. 2007 Statistical
Modeling of Compressible Turbulent Channel Flow. Proc. Appl. Math.
Mech. 7, 4090005-4090006.
- Heinz, S. 2006 Stochastic
Multi-Scale Methods for Turbulent Flow Simulations. Proc. Appl. Math.
Mech. 6, 669-670.
- 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.
- 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.
- Heinz, S. 2004 Unified
Turbulence Models: From FDF to PDF, from LES to RANS. Bull. Am. Phys.
Soc. 49, 55.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Heinz, S. 1998a Mixing and
Reaction in Stratified Flow: Lagrangian PDF
Methods. Annales Geophysicae 16, 1102.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Heinz, S. 1995b Die
geschlossene Beschreibung turbulenter Stroemung, Auftrieb und Diffusion.
Annalen der Meteorologie 31, 370-371.
- 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.
- 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.
- Heinz, S., Schaefer, K. & Knoche, R. 1995
Die
Bestimmung von Emissionsraten diffuser Quellen durch optische
Fernsondierung und Dispersionsmodellierung. Annalen der Meteorologie 31, 261-262.
- 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.
- 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.
- 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.
- 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.
- Heinz, S., Keuler, K. & Schaller, E. 1992
Schadstoffausbreitung
in einem Alpental. Annalen der Meteorologie
27, 340.
- 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.
- 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.