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Author : Chinh Minh Trinh
Publisher :
ISBN 13 : 9788755017450
Total Pages : 43 pages
Book Rating : 4.0/5 (174 download)
Download or read book Reynolds Stress Model, Algebraic Stress Model, and K-[Epsilon] Model written by Chinh Minh Trinh and published by . This book was released on 1993 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tsan-Hsing Shih
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.F/5 ( download)
Download or read book A Realizable Reynolds Stress Algebraic Equation Model written by Tsan-Hsing Shih and published by . This book was released on 1993 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: The invariance theory in continuum mechanics is applied to analyze Reynolds stresses in high Reynolds number turbulent flows. The analysis leads to a turbulent constitutive relation that relates the Reynolds stresses to the mean velocity gradients in a more general form in which the classical isotropic eddy viscosity model is just the linear approximation of the general form. On the basis of realizability analysis, a set of model coefficients are obtained which are functions of the time scale ratios of the turbulence to the mean strain rate and the mean rotation rate. The coefficients will ensure the positivity of each component of the mean rotation rate. These coefficients will ensure the positivity of each component of the turbulent kinetic energy - realizability that most existing turbulence models fail to satisfy. Separated flows over backward-facing step configurations are taken as applications. The calculations are performed with a conservative finite-volume method. Grid-independent and numerical diffusion-free solutions are obtained by using differencing schemes of second-order accuracy on sufficiently fine grids. The calculated results are compared in detail with the experimental data for both mean and turbulent quantities. The comparison shows that the present proposal significantly improves the predictive capability of K-epsilon based two equation models. In addition, the proposed model is able to simulate rotational homogeneous shear flows with large rotation rates which all conventional eddy viscosity models fail to simulate.
Author : B. Mohammadi
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.3/5 (91 download)
Download or read book Analysis of the K-Epsilon Turbulence Model written by B. Mohammadi and published by . This book was released on 1994-09-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Pierre Sagaut
Publisher : World Scientific
ISBN 13 : 1848169876
Total Pages : 446 pages
Book Rating : 4.8/5 (481 download)
Download or read book Multiscale and Multiresolution Approaches in Turbulence written by Pierre Sagaut and published by World Scientific. This book was released on 2013 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to provide the reader with an updated general presentation of multiscale/multiresolution approaches in turbulent flow simulations. All modern approaches (LES, hybrid RANS/LES, DES, SAS) are discussed and recast in a global comprehensive framework. Both theoretical features and practical implementation details are addressed. Some full scale applications are described, to provide the reader with relevant guidelines to facilitate a future use of these methods.
Author : Kemal Hanjalić
Publisher : Cambridge University Press
ISBN 13 : 0521845750
Total Pages : 403 pages
Book Rating : 4.5/5 (218 download)
Download or read book Modelling Turbulence in Engineering and the Environment written by Kemal Hanjalić and published by Cambridge University Press. This book was released on 2011-10-20 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of advanced RANS turbulence models including numerous applications to complex flows in engineering and the environment.
Author :
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (317 download)
Download or read book Fully-Explicit and Self-Consistent Algebraic Reynolds Stress Models written by and published by . This book was released on 1995 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. Rajaratnam
Publisher : Elsevier
ISBN 13 : 0080869963
Total Pages : 315 pages
Book Rating : 4.0/5 (88 download)
Download or read book Turbulent Jets written by N. Rajaratnam and published by Elsevier. This book was released on 1976-01-01 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulent Jets
Download or read book Generalized Algebraic Relation for Predicting Developing Curved Channel Flow with a K-epsilon Model of Turbulence written by and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Using algebraic approximations for the Reynolds stress equations a general expression has been derived for C/sub .mu./ in .nu./sub t/ = C/sub .mu./ k2/epsilon which accounts simultaneously for the effects of streamline curvature and pressure-strain in the flow, including wall-induced influences on the velocity fluctuations. The expression derived can be shown to encompass smilar but more specific formulations proposed by Bradshaw, Rodi, and Leschziner and Rodi. The present formulation has been used in conjunction with a k-epsilon model of turbulence to predict developing, two-dimensional, curved channel flows where both curvature and pressure-strain effects can be large. Minor modifications to include the influence of curvature on the length scale of the flow near the walls produce a significant improvement in the calculations. While, in general, predictions are in good agreement with experimental measurements of mildly and strongly curved flows, the model tends to overpredict the kinetic energy of turbulence in the inner-radius (convex) wall region. This is attributed to a breakdown of the assumption that u/sub i/u/sub j//k is a constant in the derivation of the general expression for C/sub .mu./. Most of the experimental results suggest the presence of a weak cross-stream motion due to Taylor-Goertler vortices which cannot be resolved by the calculation scheme. Despite its limitations the present formulation provides a degree of generality not previously available in two-equation modeling of turbulent flows.
Author : Hanfeng Zhang (Mechanical engineer)
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (119 download)
Download or read book Implementation and Validation of Quadratic Constitutive Relation in One-equation K-kL Turbulence Model written by Hanfeng Zhang (Mechanical engineer) and published by . This book was released on 2020 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics (CFD) has been widely used in modern engineering analysis of products and systems involving fluid flow. In majority of applications, the flow is turbulent; however accurate prediction of turbulent flow remains a challenging problem to date. Considering both the accuracy and cost of simulations, the most widely used approach for simulation of turbulent flows is to solve the Reynolds Averaged Navier-Stokes equations (RANS) in conjunction with a turbulence model which models the Reynolds stresses using the Boussinesq approximation that relates the Reynolds stress tensor to strain tensor via an eddy viscosity. In past many decades, a linear relationship between Reynolds Stress tensor and strain tensor has been employed in almost all turbulence models. Linear eddy viscosity models have shown good results for wide variety of flows; however in many cases they have been found to be inadequate. Therefore, the nonlinear Quadratic Constitutive Relation (QCR) has been suggested to improve the accuracy of simulations. In this thesis, QCR is implemented for a recently developed one-equation k-kL turbulence model by Shuai and Agarwal, and is tested by comparing its accuracy with linear eddy viscosity models and one-equation Algebraic Reynolds Stress Model (ARSM) developed by Wen and Agarwal. The computational results for k-kL-QCR for several benchmark cases from NASA TMR are compared to other widely used turbulence models with QCR, such as Spalart-Allmaras model (SA), Wray-Agarwal model (WA) and SST k-[omega] model. It is shown that one-equation k-kL-QCR model shows good accuracy against experimental data with less computational cost for both incompressible and compressible transonic and supersonic flow cases.
Author : David C. Wilcox
Publisher :
ISBN 13 : 9781928729082
Total Pages : 522 pages
Book Rating : 4.7/5 (29 download)
Download or read book Turbulence Modeling for CFD: CD-ROM written by David C. Wilcox and published by . This book was released on 2006 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manuel D. Salas
Publisher : Springer Science & Business Media
ISBN 13 : 9401147248
Total Pages : 385 pages
Book Rating : 4.4/5 (11 download)
Download or read book Modeling Complex Turbulent Flows written by Manuel D. Salas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence modeling both addresses a fundamental problem in physics, 'the last great unsolved problem of classical physics,' and has far-reaching importance in the solution of difficult practical problems from aeronautical engineering to dynamic meteorology. However, the growth of supercom puter facilities has recently caused an apparent shift in the focus of tur bulence research from modeling to direct numerical simulation (DNS) and large eddy simulation (LES). This shift in emphasis comes at a time when claims are being made in the world around us that scientific analysis itself will shortly be transformed or replaced by a more powerful 'paradigm' based on massive computations and sophisticated visualization. Although this viewpoint has not lacked ar ticulate and influential advocates, these claims can at best only be judged premature. After all, as one computational researcher lamented, 'the com puter only does what I tell it to do, and not what I want it to do. ' In turbulence research, the initial speculation that computational meth ods would replace not only model-based computations but even experimen tal measurements, have not come close to fulfillment. It is becoming clear that computational methods and model development are equal partners in turbulence research: DNS and LES remain valuable tools for suggesting and validating models, while turbulence models continue to be the preferred tool for practical computations. We believed that a symposium which would reaffirm the practical and scientific importance of turbulence modeling was both necessary and timely.
Author : Wolfgang Rodi
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (18 download)
Download or read book Turbulence Models and Their Application in Hydraulics written by Wolfgang Rodi and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bengt Andersson
Publisher : Cambridge University Press
ISBN 13 : 1139505564
Total Pages : 203 pages
Book Rating : 4.1/5 (395 download)
Download or read book Computational Fluid Dynamics for Engineers written by Bengt Andersson and published by Cambridge University Press. This book was released on 2011-12-22 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid dynamics, CFD, has become an indispensable tool for many engineers. This book gives an introduction to CFD simulations of turbulence, mixing, reaction, combustion and multiphase flows. The emphasis on understanding the physics of these flows helps the engineer to select appropriate models to obtain reliable simulations. Besides presenting the equations involved, the basics and limitations of the models are explained and discussed. The book combined with tutorials, project and power-point lecture notes (all available for download) forms a complete course. The reader is given hands-on experience of drawing, meshing and simulation. The tutorials cover flow and reactions inside a porous catalyst, combustion in turbulent non-premixed flow, and multiphase simulation of evaporation spray respectively. The project deals with design of an industrial-scale selective catalytic reduction process and allows the reader to explore various design improvements and apply best practice guidelines in the CFD simulations.
Author : Qunzhen Wang
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (317 download)
Download or read book Implementation of Advanced Two Equation Turbulence Models in the USM3D Unstructured Flow Solver written by Qunzhen Wang and published by . This book was released on 2000 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: USM3D is a widely-used unstructured flow solver for simulating inviscid and viscous flows over complex geometries. The current version (version 5.0) of USM3D, however, does not have advanced turbulence models to accurately simulate complicated flow. We have implemented two modified versions of the original Jones and Launder k-epsilon "two-equation" turbulence model and the Girimaji algebraic Reynold stress model in USM3D. Tests have been conducted for three flat plate boundary layer cases, a RAE2822 airfoil and an ONERA M6 wing. The results are compared with those from direct numerical simulation, empirical formulae, theoretical results, and the existing Spalart-Allmaras one-equation model
Author : Martin Sommerfeld
Publisher : Springer Science & Business Media
ISBN 13 : 3642185401
Total Pages : 354 pages
Book Rating : 4.6/5 (421 download)
Download or read book Bubbly Flows written by Martin Sommerfeld and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book summarises the outcom of a priority research programme: 'Analysis, Modelling and Computation of Multiphase Flows'. The results of 24 individual research projects are presented. The main objective of the research programme was to provide a better understanding of the physical basis for multiphase gas-liquid flows as they are found in numerous chemical and biochemical reactors. The research comprises steady and unsteady multiphase flows in three frequently found reactor configurations, namely bubble columns without interiors, airlift loop reactors, and aerated stirred vessels. For this purpose new and improved measurement techniques were developed. From the resulting knowledge and data, new and refined models for describing the underlying physical processes were developed, which were used for the establishment and improvement of analytic as well as numerical methods for predicting multiphase reactors. Thereby, the development, lay-out and scale-up of such processes should be possible on a more reliable basis.
Author : Hans Petter Langtangen
Publisher : Springer
ISBN 13 : 3319327267
Total Pages : 149 pages
Book Rating : 4.3/5 (193 download)
Download or read book Scaling of Differential Equations written by Hans Petter Langtangen and published by Springer. This book was released on 2016-06-15 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.
Author : Andreas Dillmann
Publisher : Springer Nature
ISBN 13 : 3030252531
Total Pages : 867 pages
Book Rating : 4.0/5 (32 download)
Download or read book New Results in Numerical and Experimental Fluid Mechanics XII written by Andreas Dillmann and published by Springer Nature. This book was released on 2019-09-26 with total page 867 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions to the 21st biannual symposium of the German Aerospace Aerodynamics Association (STAB) and the German Society for Aeronautics and Astronautics (DGLR). The individual chapters reflect ongoing research conducted by the STAB members in the field of numerical and experimental fluid mechanics and aerodynamics, mainly for (but not limited to) aerospace applications, and cover both nationally and EC-funded projects. Special emphasis is given to collaborative research projects conducted by German scientists and engineers from universities, research-establishments and industries. By addressing a number of cutting-edge applications, together with the relevant physical and mathematics fundamentals, the book provides readers with a comprehensive overview of the current research work in the field. The book’s primary emphasis is on aerodynamic research in aeronautics and astronautics, and in ground transportation and energy as well.
