Similarity and Modeling in Science and Engineering

The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the r...

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Bibliographic Details
Main Author: Kuneš, Josef
Format: eBook
Language:English
Published: Cambridge Cambridge International Science Publishing Ltd. 2012, 2012
Edition:1st ed. 2012
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Kuneš, Josef 
245 0 0 |a Similarity and Modeling in Science and Engineering  |h Elektronische Ressource  |c by Josef Kuneš 
250 |a 1st ed. 2012 
260 |a Cambridge  |b Cambridge International Science Publishing Ltd.  |c 2012, 2012 
300 |a XVIII, 442 p  |b online resource 
505 0 |a From the Contents: Methodology of Modeling -- Dimensional Analysis -- Methods of Similarity Analysis -- Mathematical Models -- Physical Models -- Physical Analogs -- Computer Deterministic Models -- Computer Stochastic Models -- Cybernetic Models 
653 |a Applied mathematics 
653 |a Computational Science and Engineering 
653 |a Engineering mathematics 
653 |a Mathematical and Computational Engineering 
653 |a Computer-aided engineering 
653 |a Computer-Aided Engineering (CAD, CAE) and Design 
653 |a Computer mathematics 
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989 |b Springer  |a Springer eBooks 2005- 
856 4 0 |u https://doi.org/10.1007/978-1-907343-78-0?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 519 
520 |a The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the reader with a general tool-box to apply to their specific needs. Two important tools are presented: dimensional analysis and the similarity analysis methods. The fundamental point of view, enabling one to sort all models, is that of information flux between a model and an original expressed by the similarity and abstraction. Each chapter includes original examples and ap-plications. In this respect, the models can be divided into several groups. The following models are dealt with separately by chapter; mathematical and physical models, physical analogues, deterministic, stochastic, and cybernetic computer models. The mathematical models are divided into asymptotic and phenomenological models. The phenomenological models, which can also be called experimental, are usually the result of an experiment on a complex object or process. The variable dimensionless quantities contain information about the real state of boundary conditions, parameter (non-linearity) changes, and other factors. With satisfactory measurement accuracy and experimental strategy, such models are highly credible and can be used, for example, in control systems