Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters
Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters

Author: H.G. Kaper

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 371

ISBN-13: 9401118108

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This volume contains the proceedings of the NATO Advanced Research Workshop on "Asymptotic-induced Numerical Methods for Partial Differ ential Equations, Critical Parameters, and Domain Decomposition," held at Beaune (France), May 25-28, 1992. The purpose of the workshop was to stimulate the integration of asymp totic analysis, domain decomposition methods, and symbolic manipulation tools for the numerical solution of partial differential equations (PDEs) with critical parameters. A workshop on the same topic was held at Argonne Na tional Laboratory in February 1990. (The proceedings were published under the title Asymptotic Analysis and the Numerical Solu.tion of Partial Differ ential Equations, Hans G. Kaper and Marc Garbey, eds., Lecture Notes in Pure and Applied Mathematics. Vol. 130, ·Marcel Dekker, Inc., New York, 1991.) In a sense, the present proceedings represent a progress report on the topic area. Comparing the two sets of proceedings, we see an increase in the quantity as well as the quality of the contributions. 110re research is being done in the topic area, and the interest covers serious, nontrivial problems. We are pleased with this outcome and expect to see even more advances in the next few years as the field progresses.

Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances
Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances

Author: Herbert Steinrück

Publisher: Springer Science & Business Media

Published: 2012-01-29

Total Pages: 426

ISBN-13: 3709104084

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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.

IUTAM Symposium on Asymptotic Methods for Turbulent Shear Flows at High Reynolds Numbers
IUTAM Symposium on Asymptotic Methods for Turbulent Shear Flows at High Reynolds Numbers

Author: K. Gersten

Publisher: Springer

Published: 1996-07-31

Total Pages: 352

ISBN-13:

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This volume contains the contributions presented at the IUTAM Symposium on Asymptotic Methods for Turbulent Shear Flows, which was the first international conference on the subject. The book provides an overview of the state of the art in this field and presents results found worldwide. Asymptotic theory is here considered as the application of perturbation methods (singular perturbation methods, multiscale methods, rapid distortion theory etc.) to solving the Reynolds- averaged flow equations for turbulent shear flows at high Reynolds numbers. These methods play an important role in turbulence modelling, as is demonstrated by many examples, including turbulence models describing flow separation. It becomes evident that asymptotic methods enable the extraction of a fairly comprehensive set of results from the governing equations without incorporating a specific turbulence model a priori. Furthermore, these methods can be used to quickly eliminate unsatisfactory models. The book contains valuable results for turbulence researchers, in particular for those working in turbulence modelling.

Asymptotic Modelling of Fluid Flow Phenomena
Asymptotic Modelling of Fluid Flow Phenomena

Author: Radyadour Kh. Zeytounian

Publisher: Springer Science & Business Media

Published: 2006-04-10

Total Pages: 560

ISBN-13: 0306483866

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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.

Micro Process Engineering, 3 Volume Set
Micro Process Engineering, 3 Volume Set

Author: Volker Hessel

Publisher: John Wiley & Sons

Published: 2009-03-23

Total Pages: 1413

ISBN-13: 3527315500

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This three-volume handbook provides an overview of the key aspects of micro process engineering. Volume 1 covers the fundamentals, operations and catalysts, volume 2 examines devices, reactions and applications, with volume 3 rounding off the trilogy with system, process and plant engineering. Fluid dynamics, mixing, heat/mass transfer, purification and separation microstructured devices and microstructured reactors are explained in the first volume. Volume 2 segments microreactor design, fabrication and assembly, bulk and fine chemistry, polymerisation, fuel processing and functional materials into understandable parts. The final volume of the handbook addresses microreactor systems design and scale-up, sensing, analysis and control, chemical process engineering, economic and eco-efficiency analyses as well as microreactor plant case studies in one book. Together, this 3-volume handbook explains the science behind micro process engineering to the scale-up and their real life industrial applications.

Theory and Applications of Viscous Fluid Flows
Theory and Applications of Viscous Fluid Flows

Author: Radyadour Kh. Zeytounian

Publisher: Springer Science & Business Media

Published: 2003-08-25

Total Pages: 512

ISBN-13: 9783540440130

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This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.

Asymptotic Theory of Supersonic Viscous Gas Flows
Asymptotic Theory of Supersonic Viscous Gas Flows

Author: Vladimir Neyland

Publisher: Butterworth-Heinemann

Published: 2008-02-06

Total Pages: 563

ISBN-13: 0080555772

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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