Continuum Methods Of Physical Modeling
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Continuum Methods Of Physical Modeling
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Author : Kolumban Hutter
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Continuum Methods Of Physical Modeling written by Kolumban Hutter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.
Continuum Modeling In The Physical Sciences
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Author : E. van Groesen
language : en
Publisher: SIAM
Release Date : 2007-01-01
Continuum Modeling In The Physical Sciences written by E. van Groesen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
Mathematical modeling - the ability to apply mathematical concepts and techniques to real-life systems has expanded considerably over the last decades, making it impossible to cover all of its aspects in one course or textbook. Continuum Modeling in the Physical Sciences provides an extensive exposition of the general principles and methods of this growing field with a focus on applications in the natural sciences. The authors present a thorough treatment of mathematical modeling from the elementary level to more advanced concepts. Most of the chapters are devoted to a discussion of central issues such as dimensional analysis, conservation principles, balance laws, constitutive relations, stability, robustness, and variational methods, and are accompanied by numerous real-life examples. Readers will benefit from the exercises placed throughout the text and the challenging problems sections found at the ends of several chapters.
Modeling Materials
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Author : Ellad B. Tadmor
language : en
Publisher: Cambridge University Press
Release Date : 2011-11-24
Modeling Materials written by Ellad B. Tadmor and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-24 with Science categories.
Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermo-mechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Subduction
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Author : Alexander I. Shemenda
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Subduction written by Alexander I. Shemenda and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book is devoted to the quantitative physical modeling of subduction and subduction-related processes. It presents a coherent description of the modeling method (including similarity criteria, and a novel applied experimental technique), results from model experiments, theoretical analysis of results on the basis of continuum mechanics, and their geodynamic interpretation. Subduction is modeled in general as well as applied to particular regions using both 2-D and 3-D approaches, with both slab-push and slab-pull driving forces. The modeling covers all stages from subduction initiation to `death', different regimes of subduction producing back arc extension and compression, blocking of subduction and jumps of subduction zone, arc-continent collision and continental subduction. This work is for geologists and geophysicists interested in geodynamics of the convergent plate boundaries and in mechanics of the lithosphere.
Methods And Tastes In Modern Continuum Mechanics
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Author : Roger Fosdick
language : en
Publisher: Springer
Release Date : 2011-09-15
Methods And Tastes In Modern Continuum Mechanics written by Roger Fosdick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Science categories.
This book is dedicated to the memory of Donald E. Carlson, who enjoyed a long distinguished career as a Professor of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign; he influenced the mechanics community through his teachings, publications and interactions. The book disseminates unique research investigations which give breadth and depth to the field of continuum mechanics and provide a vision for future advancements. The common bond of Don's publications was his sound theoretical developments and fundamental insight. He carefully delineated the principal roles of kinematics, conservation laws (including the second law of thermodynamics) and constitutive assumptions not only in his discussions and writings about fundamentals in mechanics but also in his work on the formulation of initial-boundary value problems that arise in modeling the behavior of elastic and thermoelastic bodies. This book expands this lucid practice by applying these roles to model a plethora of physical phenomena on the foundations and applications of modern continuum mechanics. This is a hardbound spinoff edition previously published in the Journal of Elasticity, volumes 104 and 105, 2011.
Continuum Mechanics
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Author : Antonio Romano
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-23
Continuum Mechanics written by Antonio Romano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with Science categories.
This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.
Continuum Modeling
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Author : Adrian Muntean
language : en
Publisher: Springer
Release Date : 2015-08-14
Continuum Modeling written by Adrian Muntean and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with Mathematics categories.
This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes. The focus of this presentation lies on many practical examples covering aspects such as coupled flow, diffusion and reaction in porous media or microwave heating of a pizza, as well as traffic issues in bacterial colonies and energy harvesting from geothermal wells. The target audience comprises primarily graduate students in pure and applied mathematics as well as working practitioners in engineering who are faced by nonstandard rheological topics like those typically arising in the food industry.
Nonlinear Nonlocal And Fractional Turbulence
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Author : Peter William Egolf
language : en
Publisher: Springer Nature
Release Date : 2020-04-02
Nonlinear Nonlocal And Fractional Turbulence written by Peter William Egolf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-02 with Science categories.
Experts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies fractionality. Fractional dynamics is the physics related to fractal (geometrical) systems and is described by fractional calculus. Up-to-present, numerous criticisms of linear and local theories of turbulence have been published. Nonlinearity has established itself quite well, but so far only a very small number of general nonlocal concepts and no concrete nonlocal turbulent flow solutions were available. This book presents the first analytical and numerical solutions of elementary turbulent flow problems, mainly based on a nonlocal closure. Considerations involve anomalous diffusion (Lévy flights), fractal geometry (fractal-β, bi-fractal and multi-fractal model) and fractional dynamics. Examples include a new ‘law of the wall’ and a generalization of Kraichnan’s energy-enstrophy spectrum that is in harmony with non-extensive and non-equilibrium thermodynamics (Tsallis thermodynamics) and experiments. Furthermore, the presented theories of turbulence reveal critical and cooperative phenomena in analogy with phase transitions in other physical systems, e.g., binary fluids, para-ferromagnetic materials, etc.; the two phases of turbulence identifying the laminar streaks and coherent vorticity-rich structures. This book is intended, apart from fluids specialists, for researchers in physics, as well as applied and numerical mathematics, who would like to acquire knowledge about alternative approaches involved in the analytical and numerical treatment of turbulence.
Numerical Methods For Black Box Software In Computational Continuum Mechanics
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Author : Sergey I. Martynenko
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-11-20
Numerical Methods For Black Box Software In Computational Continuum Mechanics written by Sergey I. Martynenko and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-20 with Mathematics categories.
The organization of the material is presented as follows: This introductory chapter I represents a theoretical analysis of the computational algorithms for a numerical solution of the basic equations in continuum mechanics. In this chapter, the general requirements for computational grids, discretization, and iterative methods for black-box software are examined. Finally, a concept of a two-grid algorithm for (de-)coupled solving multidimensional non-linear (initial-)boundary value problems in continuum mechanics (multiphysics simulation) in complex domains is presented. Chapter II contains descriptions of the sequential Robust Multigrid Technique which is developed as a general-purpose solver in black-box codes. This chapter presents the main components of the Robust Multigrid Technique (RMT) used in the two-grid algorithm (Chapter I) to compute the auxiliary (structured) grid correction. This includes the generation of multigrid structures, computation of index mapping, and integral evaluation. Finite volume discretization on the multigrid structures will be explained by studying a 1D linear model problem. In addition, the algorithmic complexity of RMT and black-box optimization of the problem-dependent components of RMT are analysed. Chapter III provides a description of parallel RMT. This chapter introduces parallel RMT-based algorithms for solving the boundary value problems and initial-boundary value problems in unified manner. Section 1 presents a comparative analysis of the parallel RMT and the sequential V-cycle. Sections 2 and 3 present a geometric and an algebraic parallelism of RMT, i.e. parallelization of the smoothing iterations on the coarse and the levels. A parallel multigrid cycle will be considered in Section 4. A parallel RMT for the time-dependent problems is given in Section 5. Finally, the basic properties of parallel RMT will be summarized in Section 6. Theoretical aspects of the used algorithms for solving multidimensional problems are discussed in Chapters IV. This chapter contains the theoretical aspects of the algorithms used for the numerical solving of the resulting system of linear algebraic equations obtained from discrete multidimensional (initial-)boundary value problems.
Methods And Tastes In Modern Continuum Mechanics
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Author : Roger Fosdick
language : en
Publisher: Springer
Release Date : 2011-12-01
Methods And Tastes In Modern Continuum Mechanics written by Roger Fosdick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-01 with Science categories.
This book is dedicated to the memory of Donald E. Carlson, who enjoyed a long distinguished career as a Professor of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign; he influenced the mechanics community through his teachings, publications and interactions. The book disseminates unique research investigations which give breadth and depth to the field of continuum mechanics and provide a vision for future advancements. The common bond of Don's publications was his sound theoretical developments and fundamental insight. He carefully delineated the principal roles of kinematics, conservation laws (including the second law of thermodynamics) and constitutive assumptions not only in his discussions and writings about fundamentals in mechanics but also in his work on the formulation of initial-boundary value problems that arise in modeling the behavior of elastic and thermoelastic bodies. This book expands this lucid practice by applying these roles to model a plethora of physical phenomena on the foundations and applications of modern continuum mechanics. This is a hardbound spinoff edition previously published in the Journal of Elasticity, volumes 104 and 105, 2011.