Prof. Dr. Stefan Heinz 

University of Wyoming, USA
Apr 2023 - Aug 2023
Fellow
May 2022 - Aug 2022
Fellow
May 2021 - Aug 2021
Fellow
May 2019 - Aug 2019
Fellow
May 2018 - Jul 2018
Fellow
Jan 2017 - Jul 2017
Fellow
May 2016 - Jun 2016
Fellow

Stefan Heinz

Projects & Publications

Abstract

Wind energy problems (flow around turbines in wind farms) are characterized by extremely challenging flow regimes. The accurate and efficient analysis of these flow patterns via computational fluid dynamics (CFD) poses a huge challenge. Basically, standard CFD methods are incapable of dealing with reliable and feasible predictions of such flow regimes: they are either way too expensive computationally or they are known to often provide unreliable results. Combinations of existing methods were suggested as an alternative. However, such existing methods face significant problems because of the uncontrolled balance of their ingredients. As a consequence, existing combination methods do not offer an alternative to pure methods so far. The applicant developed a mathematical exact solution to the combination of existing computational methods. First realistic applications show the huge potential of the novel methods. For the first time, we have access to reliable simulation methods that behave stably under strong variations of conditions. In particular, for the first time we are in the position to provide reliable predictions of extreme flow regimes relevant to wind energy problems (where all existing methods are hardly applicable). The goal of the proposed project is to explicitly demonstrate the advantages of our new methods for wind energy simulations based on an existing, long-term collaboration with colleagues at the University of Oldenburg.

Cooperation partner
Prof. Dr. Joachim Peinke, ForWind - Center for Wind Energy
Publications
Sarnitsky, G., and Heinz, S. (2022). Nonparametric Inference for Diffusion Processes in Systems with Smooth Evolution. Physica A, 598. https://doi.org/10.1016/j.physa.2022.127386
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. https://doi.org/10.1007/s10494-021-00302-w
Heinz, S. (2024). The Asymptotic Structure of Canonical Wall-Bounded Turbulent Flows. Fluids, 25, 9. https://doi.org/10.3390/fluids9010025
Heinz, S. (2024). The Law of the Wall and von Kármán Constant: An Ongoing Controversial Debate. Fluids, 63, 9. https://doi.org/10.3390/fluids9030063
Heinz, S. (2022). Minimal Error Partially Resolving Simulation Methods for Turbulent Flows: A Dynamic Machine Learning Approach. Physics of Fluids, 34, 051705/1-051705/7. https://doi.org/10.1063/5.0095592
Heinz, S. (2023). A Mathematical Solution to the Computational Fluid Dynamics (CFD) Dilemma. Mathematics, 3199, 11. https://doi.org/10.3390/math11143199
Heinz, S., and A. Fagbade (2022). Application of Mode-Controlled Hybrid RANS-LES to the NASA Wall-Mounted Hump Flow. AIAA Aviation.
Heinz, S., and Fagbade, A. (2024). Continuous Eddy Simulation (CES) of Transonic Shock-Induced Flow Separation. Applied Sciences, 2705, 14. https://doi.org/10.3390/app14072705
Heinz, S., and Fagbade, A. (). Continuous Eddy Simulation vs. Resolution-Imposing Simulation Methods for Turbulent Flows. Fluids, 22, 9. https://doi.org/10.3390/fluids9010022
Heinz, S., Peinke, J. and Stoevesandt, B. (2021). Cutting- Edge Turbulence Simulation Methods for Wind Energy and Aerospace Problems. Fluids, 8, 6, 288/1-288/15. https://doi.org/10.3390/fluids6080288
Plaut, E., and Heinz, S. (2022). Exact Eddy-Viscosity Equation for Turbulent Wall Flows - Implications for Computational Fluid Dynamics Models. AIAA Journal, 3, 60, 1347-1364. https://doi.org/10.2514/1.J060761
Heinz, S. (2022). From Two-Equation Turbulence Models to Minimal Error Resolving Simulation Methods for Complex Turbulent Flows. Fluids, 7, 368/1-368/17. https://doi.org/10.3390/fluids7120368
Heinz, S. (2021). Theory-Based Mesoscale to Microscale Coupling for Wind Energy Applications. Applied Mathematical Modelling, 98, 563-575. https://doi.org/10.1016/j.apm.2021.05.020
Cooperation partner
Prof. Dr. Joachim Peinke, Carl von Ossietzky Universität Oldenburg
Prof. Dr. Ulrike Feudel, Carl von Ossietzky Universität Oldenburg
Dr. Bernhard Stoevesandt, Carl von Ossieztky Universität Oldenburg
Publications
Heinz, S. (2023). A Mathematical Solution to the Computational Fluid Dynamics (CFD) Dilemma. Mathematics, 14, 11, 3199/1-3199/17. https://doi.org/10.3390/math11143199
Heinz, S. (2018). On mean flow universality of turbulent wall flow. I. High Reynolds number flow analysis. Journal of Turbulence, 11-12, 19, 929-958.
Heinz, S. (2019). On mean flow universality of turbulent wall flow. II. Asymptotic flow analysis. Journal of Turbulence, 2, 20, 174–193. https://doi.org/10.1080/14685248.2019.1593425
R. Mokhtarpoor, S. Heinz, and M. K. Stoellinger (2019). Realizable dynamic large eddy simulation. Salvetti, M. V., Armenio, V., Fröhlich, J., Geurts, B. J., Kuerten, H., Direct and Large-Eddy Simulation XI
Salvetti, M. V., Armenio, V., Fröhlich, J., Geurts, B. J., Kuerten, H. , Direct and Large Eddy Simulation XI, 115-121.
Heinz, S. (2021). The Continuous Eddy Simulation Capability of Velocity and Scalar Probability Density Function Equations for Turbulent Flows. Physics of Fluids, 2, 33, 025107/1-025107/13. https://doi.org/10.1063/5.0039163
Heinz, S. (2019). The large eddy simulation capability of Reynolds-averaged Navier-Stokes equations: Analytical results. Physics of Fluids, 31, 021702.
Heinz, S., Mokhtarpoor, R., and Stoellinger, M. K. (2020). Hybrid RANS-LES Methods with Continuous Mode Variation. Villalba, M. G., Kuerten, H., Salvetti, M.V., Direct and Large-Eddy Simulation XII, 1-6.
Wurps, H., Steinfeld, G., and Heinz, S. (2020). Grid-Resolution Requirements for Large-Eddy Simulations ofthe Atmospheric Boundary Layer. Boundary-Layer Meteorology, 175, 179-201. https://doi.org/10.1007/s10546-020-00504-1
Mokhtarpoor, R. and Heinz, S. (2017). Dynamic large eddy simulation: Stability via realizability. Physics of Fluids, 29, 105104.
Mokhtarpoor, R., Heinz, S., and Stoellinger, M. K. (2019). Dynamic unified RANS-LES simulations of periodic hill flow. Salvetti, M. V., Armenio, V., Fröhlich, J., Geurts, B. J., Kuerten, H., Direct and Large-Eddy Simulation XI, 469-476.