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Author: Radyadour K. Zeytounian Publisher: Springer Science & Business Media ISBN: 3540544461 Category : Science Languages : en Pages : 358
Book Description
The author considers meteorology as a part of fluid dynamics. He tries to derive the properties of atmospheric flows from a rational analysis of the Navier-Stokes equations, at the same time analyzing various types of initial and boundary problems. This approach to simulate nature by models from fluid dynamics will be of interest to both scientists and students of physics and theoretical meteorology.
Author: Radyadour K. Zeytounian Publisher: Springer Science & Business Media ISBN: 3540544461 Category : Science Languages : en Pages : 358
Book Description
The author considers meteorology as a part of fluid dynamics. He tries to derive the properties of atmospheric flows from a rational analysis of the Navier-Stokes equations, at the same time analyzing various types of initial and boundary problems. This approach to simulate nature by models from fluid dynamics will be of interest to both scientists and students of physics and theoretical meteorology.
Author: Radyadour Kh. Zeytounian Publisher: Springer Science & Business Media ISBN: 0306483866 Category : Science Languages : en Pages : 560
Book Description
for the fluctuations around the means but rather fluctuations, and appearing in the following incompressible system of equations: on any wall; at initial time, and are assumed known. This contribution arose from discussion with J. P. Guiraud on attempts to push forward our last co-signed paper (1986) and the main idea is to put a stochastic structure on fluctuations and to identify the large eddies with a part of the probability space. The Reynolds stresses are derived from a kind of Monte-Carlo process on equations for fluctuations. Those are themselves modelled against a technique, using the Guiraud and Zeytounian (1986). The scheme consists in a set of like equations, considered as random, because they mimic the large eddy fluctuations. The Reynolds stresses are got from stochastic averaging over a family of their solutions. Asymptotics underlies the scheme, but in a rather loose hidden way. We explain this in relation with homogenizati- localization processes (described within the §3. 4 ofChapter 3). Ofcourse the mathematical well posedness of the scheme is not known and the numerics would be formidable! Whether this attempt will inspire researchers in the field of highly complex turbulent flows is not foreseeable and we have hope that the idea will prove useful.
Author: Jean Cousteix Publisher: Springer Science & Business Media ISBN: 3540464891 Category : Science Languages : en Pages : 437
Book Description
This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.
Author: Radyadour Kh. Zeytounian Publisher: Springer Science & Business Media ISBN: 3642395414 Category : Science Languages : en Pages : 177
Book Description
Rationality - as opposed to 'ad-hoc' - and asymptotics - to emphasize the fact that perturbative methods are at the core of the theory - are the two main concepts associated with the Rational Asymptotic Modeling (RAM) approach in fluid dynamics when the goal is to specifically provide useful models accessible to numerical simulation via high-speed computing. This approach has contributed to a fresh understanding of Newtonian fluid flow problems and has opened up new avenues for tackling real fluid flow phenomena, which are known to lead to very difficult mathematical and numerical problems irrespective of turbulence. With the present scientific autobiography the author guides the reader through his somewhat non-traditional career; first discovering fluid mechanics, and then devoting more than fifty years to intense work in the field. Using both personal and general historical contexts, this account will be of benefit to anyone interested in the early and contemporary developments of an important branch of theoretical and computational fluid mechanics.
Author: R.Kh. Zeytounian Publisher: Springer ISBN: 3319316192 Category : Technology & Engineering Languages : en Pages : 245
Book Description
This monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field. The interested reader will also benefit from the general historical context in which the material is presented in the book. The book covers a wide range of relevant topics of the field, and the main tool being rational asymptotic modelling (RAM) approach. The target audience primarily comprises experts in the field of fluid dynamics, but the book may also be beneficial for graduate students.
Author: Herbert Steinrück Publisher: Springer Science & Business Media ISBN: 3709104084 Category : Technology & Engineering Languages : en Pages : 426
Book Description
A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.
Author: Pierre-Antoine Bois Publisher: Springer ISBN: Category : Mathematics Languages : en Pages : 328
Book Description
The purpose of this book is to gather contributions from scientists in fluid mechanics who use asymptotic methods to cope with difficult problems. The selected topics are as follows: vorticity and turbulence, hydrodynamic instability, non-linear waves, aerodynamics and rarefied gas flows. The last chapter of the book broadens the perspective with an overview of other issues pertaining to asymptotics, presented in a didactic way.
Author: Vladimir Neyland Publisher: Butterworth-Heinemann ISBN: 0080555772 Category : Science Languages : en Pages : 563
Book Description
This is the first book in English devoted to the latest developments in fluid mechanics and aerodynamics. Written by the leading authors in the field, based at the renowned Central Aerohydrodynamic Institute in Moscow, it deals with viscous gas flow problems that arise from supersonic flows. These complex problems are central to the work of researchers and engineers dealing with new aircraft and turbomachinery development (jet engines, compressors and other turbine equipment). The book presents the latest asymptotical models, simplified Navier-Stokes equations and viscous-inviscid interaction theroies and will be of critical interest to researchers, engineers, academics and advanced graduate students in the areas of fluid mechanics, compressible flows, aerodynamics and aircraft design, applied mathematics and computational fluid dynamics. - The first book in English to cover the latest methodology for incopressible flow analysis of high speed aerodynamics, an essential topic for those working on new generation aircraft and turbomachinery - Authors are internationally recognised as the leading figures in the field - Includes a chapter introducing asymptotical methods to enable advanced level students to use the book
Author: Radyadour K. Zeytounian
Author: Radyadour K. Zeytounian
Author: Radyadour Kh. Zeytounian
Author: Jean Cousteix
Author: Olʹga A. Ladyženskaja
Author: Radyadour Kh. Zeytounian
Author: R.Kh. Zeytounian
Author: Herbert Steinrück
Author: Pierre-Antoine Bois
Author: A.B. Movchan
Author: Vladimir Neyland