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This book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations. Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models. Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering.
Turbulence --- Mathematical models. --- Hydraulic engineering. --- Computer science. --- Distribution (Probability theory. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Computational Science and Engineering. --- Probability Theory and Stochastic Processes. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Informatics --- Science --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Fluid mechanics. --- Fluids. --- Computer mathematics. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Computer mathematics --- Electronic data processing --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Hydromechanics --- Continuum mechanics
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This self-contained, interdisciplinary book encompasses mathematics, physics, computer programming, analytical solutions and numerical modelling, industrial computational fluid dynamics (CFD), academic benchmark problems and engineering applications in conjunction with the research field of anisotropic turbulence. It focuses on theoretical approaches, computational examples and numerical simulations to demonstrate the strength of a new hypothesis and anisotropic turbulence modelling approach for academic benchmark problems and industrially relevant engineering applications. This book contains MATLAB codes, and C programming language based User-Defined Function (UDF) codes which can be compiled in the ANSYS-FLUENT environment. The computer codes help to understand and use efficiently a new concept which can also be implemented in any other software packages. The simulation results are compared to classical analytical solutions and experimental data taken from the literature. A particular attention is paid to how to obtain accurate results within a reasonable computational time for wide range of benchmark problems. The provided examples and programming techniques help graduate and postgraduate students, engineers and researchers to further develop their technical skills and knowledge.
Fluid mechanics. --- Fluids. --- Computer simulation. --- Computer mathematics. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Simulation and Modeling. --- Computational Science and Engineering. --- Computer mathematics --- Electronic data processing --- Mathematics --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Hydromechanics --- Continuum mechanics --- Turbulence --- Mathematical models. --- Flow, Turbulent --- Turbulent flow --- Fluid dynamics
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This book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations. Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models. Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering.
Operational research. Game theory --- Probability theory --- Fluid mechanics --- Hydraulic energy --- Computer science --- vloeistofstroming --- aerodynamica --- waarschijnlijkheidstheorie --- stochastische analyse --- computers --- informatica --- informaticaonderzoek --- ingenieurswetenschappen --- kansrekening --- computerkunde --- hydraulica --- vloeistoffen
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This self-contained, interdisciplinary book encompasses mathematics, physics, computer programming, analytical solutions and numerical modelling, industrial computational fluid dynamics (CFD), academic benchmark problems and engineering applications in conjunction with the research field of anisotropic turbulence. It focuses on theoretical approaches, computational examples and numerical simulations to demonstrate the strength of a new hypothesis and anisotropic turbulence modelling approach for academic benchmark problems and industrially relevant engineering applications. This book contains MATLAB codes, and C programming language based User-Defined Function (UDF) codes which can be compiled in the ANSYS-FLUENT environment. The computer codes help to understand and use efficiently a new concept which can also be implemented in any other software packages. The simulation results are compared to classical analytical solutions and experimental data taken from the literature. A particular attention is paid to how to obtain accurate results within a reasonable computational time for wide range of benchmark problems. The provided examples and programming techniques help graduate and postgraduate students, engineers and researchers to further develop their technical skills and knowledge.
Fluid mechanics --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- informatica --- mineralen (chemie) --- mijnbouw --- informaticaonderzoek --- ingenieurswetenschappen --- mechanica --- vloeistoffen
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Operational research. Game theory --- Probability theory --- Fluid mechanics --- Hydraulic energy --- Computer science --- vloeistofstroming --- aerodynamica --- waarschijnlijkheidstheorie --- stochastische analyse --- computers --- informatica --- informaticaonderzoek --- ingenieurswetenschappen --- kansrekening --- computerkunde --- hydraulica --- vloeistoffen
Choose an application
Fluid mechanics --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- informatica --- mineralen (chemie) --- mijnbouw --- informaticaonderzoek --- ingenieurswetenschappen --- mechanica --- vloeistoffen
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