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Numerical Methods For Fluid Dynamics

Author: Dale R. Durran
Publisher: Springer Science & Business Media
ISBN: 9781441964120
Size: 20.30 MB
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This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Numerical Methods For Wave Equations In Geophysical Fluid Dynamics

Author: Dale R. Durran
Publisher: Springer Science & Business Media
ISBN: 1475730810
Size: 29.41 MB
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Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.

Numerical Partial Differential Equations Finite Difference Methods

Author: J.W. Thomas
Publisher: Springer Science & Business Media
ISBN: 9780387979991
Size: 67.89 MB
Format: PDF, Kindle
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Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. This text offers a means of coming out of a course with a large number of methods that provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation. Prerequisites suggested for using this book in a course might include at least one semester of partial differential equations and some programming capability. The author stresses the use of technology throughout the text allowing the student to utilize it as much as possible. The use of graphics for both illustration and analysis is emphasized, and algebraic manipulators are used when convenient.

Fluid Dynamics Via Examples And Solutions

Author: Sergey Nazarenko
Publisher: CRC Press
ISBN: 1439888825
Size: 78.47 MB
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Fluid Dynamics via Examples and Solutions provides a substantial set of example problems and detailed model solutions covering various phenomena and effects in fluids. The book is ideal as a supplement or exam review for undergraduate and graduate courses in fluid dynamics, continuum mechanics, turbulence, ocean and atmospheric sciences, and related areas. It is also suitable as a main text for fluid dynamics courses with an emphasis on learning by example and as a self-study resource for practicing scientists who need to learn the basics of fluid dynamics. The author covers several sub-areas of fluid dynamics, types of flows, and applications. He also includes supplementary theoretical material when necessary. Each chapter presents the background, an extended list of references for further reading, numerous problems, and a complete set of model solutions.

High Order Methods For Incompressible Fluid Flow

Author: M. O. Deville
Publisher: Cambridge University Press
ISBN: 9780521453097
Size: 15.45 MB
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This book covers the development of high-order numerical methods for the simulation of incompressible fluid flows in complex domains.

Partial Differential Equations With Numerical Methods

Author: Stig Larsson
Publisher: Springer Science & Business Media
ISBN: 3540887059
Size: 31.76 MB
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The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.

Fundamentals Of Computational Fluid Dynamics

Author: H. Lomax
Publisher: Springer Science & Business Media
ISBN: 3662046547
Size: 49.11 MB
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The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.

Geometric Theory Of Incompressible Flows With Applications To Fluid Dynamics

Author: Tian Ma
Publisher: American Mathematical Soc.
ISBN: 0821836935
Size: 47.80 MB
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This book presents a geometric theory for incompressible flow and its applications to fluid dynamics. The main objective is to study the stability and transitions of the structure of incompressible flows, and applications to fluid dynamics and geophysical fluid dynamics. The development of the theory and its applications has gone well beyond the original motivation, which was the study of oceanic dynamics. One such development is a rigorous theory for boundary layer separation of incompressible fluid flows. This study of incompressible flows has two major parts, which are interconnected. The first is the development of a global geometric theory of divergence-free fields on general two-dimensional compact manifolds. The second is the study of the structure of velocity fields for two-dimensional incompressible fluid flows governed by the Navier-Stokes equations or the Euler equations. Motivated by the study of problems in geophysical fluid dynamics, the program of research in this book seeks to develop a new mathematical theory, maintaining close links to physics along the way. In return, the theory is applied to physical problems, with more problems yet to be explored.

Parallel Computational Fluid Dynamics 2003

Author: Boris Chetverushkin
Publisher: Elsevier
ISBN: 9780080473673
Size: 37.53 MB
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The book is devoted to using of parallel multiprocessor computer systems for numerical simulation of the problems which can be described by the equations of continuum mechanics. Parallel algorithms and software, the problems of meta-computing are discussed in details, some results of high performance simulation of modern gas dynamic problems, combustion phenomena, plasma physics etc are presented. · Parallel Algorithms for Multidisciplinary Studies