Analysis of the K-Epsilon Turbulence Model

Analysis of the K-Epsilon Turbulence Model

Author: B. Mohammadi

Publisher:

Published: 1994-09-06

Total Pages: 222

ISBN-13:

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Aimed at applied mathematicians interested in the numerical simulation of turbulent flows. Centered around the k-&epsis; model, it also deals with other models such as one equation models, subgrid scale models and Reynolds Stress models. Presents the k-&epsis; method for turbulence in a language familiar to applied mathematicians, but has none of the technicalities of turbulence theory.


Turbulent Jets

Turbulent Jets

Author: N. Rajaratnam

Publisher: Elsevier

Published: 1976-01-01

Total Pages: 315

ISBN-13: 0080869963

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Turbulent Jets


An Improved K-Epsilon Model for Near-Wall Turbulence and Comparison with Direct Numerical Simulation

An Improved K-Epsilon Model for Near-Wall Turbulence and Comparison with Direct Numerical Simulation

Author: National Aeronautics and Space Administration (NASA)

Publisher: Createspace Independent Publishing Platform

Published: 2018-08-16

Total Pages: 38

ISBN-13: 9781725098879

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An improved k-epsilon model for low Reynolds number turbulence near a wall is presented. The near-wall asymptotic behavior of the eddy viscosity and the pressure transport term in the turbulent kinetic energy equation is analyzed. Based on this analysis, a modified eddy viscosity model, having correct near-wall behavior, is suggested, and a model for the pressure transport term in the k-equation is proposed. In addition, a modeled dissipation rate equation is reformulated. Fully developed channel flows were used for model testing. The calculations using various k-epsilon models are compared with direct numerical simulations. The results show that the present k-epsilon model performs well in predicting the behavior of near-wall turbulence. Significant improvement over previous k-epsilon models is obtained. Shih, T. H. Glenn Research Center NASA-TM-103221, ICOMP-90-16, E-5635, NAS 1.15:103221 NASA ORDER C-99066-G; RTOP 505-62-21...


Mathematical and Numerical Foundations of Turbulence Models and Applications

Mathematical and Numerical Foundations of Turbulence Models and Applications

Author: Tomás Chacón Rebollo

Publisher: Springer

Published: 2014-06-17

Total Pages: 530

ISBN-13: 1493904558

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With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows. Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists and climatologists.


Applied Computational Fluid Dynamics and Turbulence Modeling

Applied Computational Fluid Dynamics and Turbulence Modeling

Author: Sal Rodriguez

Publisher: Springer Nature

Published: 2019-12-06

Total Pages: 316

ISBN-13: 3030286916

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This unique text provides engineering students and practicing professionals with a comprehensive set of practical, hands-on guidelines and dozens of step-by-step examples for performing state-of-the-art, reliable computational fluid dynamics (CFD) and turbulence modeling. Key CFD and turbulence programs are included as well. The text first reviews basic CFD theory, and then details advanced applied theories for estimating turbulence, including new algorithms created by the author. The book gives practical advice on selecting appropriate turbulence models and presents best CFD practices for modeling and generating reliable simulations. The author gathered and developed the book’s hundreds of tips, tricks, and examples over three decades of research and development at three national laboratories and at the University of New Mexico—many in print for the first time in this book. The book also places a strong emphasis on recent CFD and turbulence advancements found in the literature over the past five to 10 years. Readers can apply the author’s advice and insights whether using commercial or national laboratory software such as ANSYS Fluent, STAR-CCM, COMSOL, Flownex, SimScale, OpenFOAM, Fuego, KIVA, BIGHORN, or their own computational tools. Applied Computational Fluid Dynamics and Turbulence Modeling is a practical, complementary companion for academic CFD textbooks and senior project courses in mechanical, civil, chemical, and nuclear engineering; senior undergraduate and graduate CFD and turbulence modeling courses; and for professionals developing commercial and research applications.