Lectures On Computational Fluid Dynamics Mathematical Physics And Linear Algebra

Author : Karl E. Gustafson
Publisher : World Scientific
Page : 188 pages
File Size : 55,6 Mb
Release : 1997
Category : Drama
ISBN : 9810232136

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Lectures on Computational Fluid Dynamics, Mathematical Physics, and Linear Algebra by Karl E. Gustafson Pdf

Pt. I. Recent developments in computational fluid dynamics. ch. 1. Cavity flow -- ch. 2. Hovering aerodynamics. ch. 3. Capturing correct solutions -- pt. II. Recent developments in mathematical physics. ch. 1. Probabilistic and deterministic description. ch. 2. Scaling theories. ch. 3. Chaos in iterative maps -- pt. III. Recent developments in linear algebra. ch. 1. Operator Trigonometry. ch. 2. Antieigenvalues. ch. 3. Computational linear algebra

Author : Karl E. Gustafson,Takehisa Abe,Kunio Kuwahara
Publisher : Unknown
Page : 169 pages
File Size : 53,9 Mb
Release : 1996
Category : Algebras, Linear
ISBN : 4905557054

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Lectures on Computational Fluid Dynamics, Mathematical Physics, and Linear Algebra by Karl E. Gustafson,Takehisa Abe,Kunio Kuwahara Pdf

Author : Roman Jackiw
Publisher : Springer Science & Business Media
Page : 121 pages
File Size : 45,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781475736656

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Lectures on Fluid Dynamics by Roman Jackiw Pdf

Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable

Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
Publisher : Springer Nature
Page : 263 pages
File Size : 54,6 Mb
Release : 2021-05-04
Category : Mathematics
ISBN : 9783030681449

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Waves in Flows by Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová Pdf

This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.

Author : E. J. Hinch
Publisher : Cambridge University Press
Page : 244 pages
File Size : 45,6 Mb
Release : 2020-05-31
Category : Science
ISBN : 1108789994

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Think Before You Compute by E. J. Hinch Pdf

Every fluid dynamicist will at some point need to use computation. Thinking about the physics, constraints and the requirements early on will be rewarded with benefits in time, effort, accuracy and expense. How these benefits can be realised is illustrated in this guide for would-be researchers and beginning graduate students to some of the standard methods and common pitfalls of computational fluid mechanics. Based on a lecture course that the author has developed over 20 years, the text is split into three parts. The quick introduction enables students to solve numerically a basic nonlinear problem by a simple method in just three hours. The follow-up part expands on all the key essentials, including discretisation (finite differences, finite elements and spectral methods), time-stepping and linear algebra. The final part is a selection of optional advanced topics, including hyperbolic equations, the representation of surfaces, the boundary integral method, the multigrid method, domain decomposition, the fast multipole method, particle methods and wavelets.

Author : Mitchell A. Berger,Renzo L. Ricca,Louis H. Kauffman,Boris Khesin,H. Keith Moffatt,De Witt Sumners
Publisher : Springer
Page : 223 pages
File Size : 42,9 Mb
Release : 2009-05-28
Category : Science
ISBN : 9783642008375

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Lectures on Topological Fluid Mechanics by Mitchell A. Berger,Renzo L. Ricca,Louis H. Kauffman,Boris Khesin,H. Keith Moffatt,De Witt Sumners Pdf

Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material.

Author : John Wendt
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 53,9 Mb
Release : 2008-11-04
Category : Technology & Engineering
ISBN : 9783540850557

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Computational Fluid Dynamics by John Wendt Pdf

Computational Fluid Dynamics: An Introduction grew out of a von Karman Institute (VKI) Lecture Series by the same title ?rst presented in 1985 and repeated with modi?cations every year since that time. The objective, then and now, was to present the subject of computational ?uid dynamics (CFD) to an audience unfamiliar with all but the most basic numerical techniques and to do so in such a way that the practical application of CFD would become clear to everyone. A second edition appeared in 1995 with updates to all the chapters and when that printing came to an end, the publisher requested that the editor and authors consider the preparation of a third edition. Happily, the authors received the request with enthusiasm. The third edition has the goal of presenting additional updates and clari?cations while preserving the introductory nature of the material. The book is divided into three parts. John Anderson lays out the subject in Part I by ?rst describing the governing equations of ?uid dynamics, concentrating on their mathematical properties which contain the keys to the choice of the numerical approach. Methods of discretizing the equations are discussed and transformation techniques and grids are presented. Two examples of numerical methods close out this part of the book: source and vortex panel methods and the explicit method. Part II is devoted to four self-contained chapters on more advanced material. Roger Grundmann treats the boundary layer equations and methods of solution.

Author : Marvin Shinbrot
Publisher : Courier Corporation
Page : 242 pages
File Size : 41,5 Mb
Release : 2012-01-01
Category : Science
ISBN : 9780486488172

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Lectures on Fluid Mechanics by Marvin Shinbrot Pdf

A readable and user-friendly introduction to fluid mechanics, this high-level text is geared toward advanced undergraduates and graduate students. Mathematicians, physicists, and engineers will also benefit from this lucid treatment. The book begins with a derivation of the equations of fluid motion from statistical mechanics, followed by examinations of the classical theory and a portion of the modern mathematical theory of viscous, incompressible fluids. A considerable part of the final chapters is devoted to the Navier-Stokes equations. The text assumes a familiarity with functional analysis and some complex variables, and it includes an especially valuable discussion of the modern function theoretic approach to solving partial differential equations. Numerous exercises appear throughout the text.

Author : Timothy J. Barth,Herman Deconinck
Publisher : Springer Science & Business Media
Page : 594 pages
File Size : 45,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662038826

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High-Order Methods for Computational Physics by Timothy J. Barth,Herman Deconinck Pdf

The development of high-order accurate numerical discretization techniques for irregular domains and meshes is often cited as one of the remaining chal lenges facing the field of computational fluid dynamics. In structural me chanics, the advantages of high-order finite element approximation are widely recognized. This is especially true when high-order element approximation is combined with element refinement (h-p refinement). In computational fluid dynamics, high-order discretization methods are infrequently used in the com putation of compressible fluid flow. The hyperbolic nature of the governing equations and the presence of solution discontinuities makes high-order ac curacy difficult to achieve. Consequently, second-order accurate methods are still predominately used in industrial applications even though evidence sug gests that high-order methods may offer a way to significantly improve the resolution and accuracy for these calculations. To address this important topic, a special course was jointly organized by the Applied Vehicle Technology Panel of NATO's Research and Technology Organization (RTO), the von Karman Institute for Fluid Dynamics, and the Numerical Aerospace Simulation Division at the NASA Ames Research Cen ter. The NATO RTO sponsored course entitled "Higher Order Discretization Methods in Computational Fluid Dynamics" was held September 14-18,1998 at the von Karman Institute for Fluid Dynamics in Belgium and September 21-25,1998 at the NASA Ames Research Center in the United States.

Author : Arthur Gordon Webster
Publisher : Unknown
Page : 624 pages
File Size : 52,9 Mb
Release : 1922
Category : Dynamics
ISBN : UOM:39015000991979

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The Dynamics of Particles and of Rigid, Elastic and Fluid Bodies by Arthur Gordon Webster Pdf

Author : Anatoliĭ Ivanovich Ruban,Jitesh S. B. Gajjar
Publisher : Oxford University Press, USA
Page : 329 pages
File Size : 43,7 Mb
Release : 2014
Category : Science
ISBN : 9780199681730

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Fluid Dynamics by Anatoliĭ Ivanovich Ruban,Jitesh S. B. Gajjar Pdf

This text is designed to give a comprehensive and coherent description of classical fluid dynamics which is suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. Topics includeed in this text are: A discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy ; Properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk ; Inviscid incompressible flow theory, with particular focus on two-dimensional potential flows ; Compressible flows of perfect gas, including supersonic flows.

Author : H. Lomax,Thomas H. Pulliam,David W. Zingg
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 44,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662046548

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Fundamentals of Computational Fluid Dynamics by H. Lomax,Thomas H. Pulliam,David W. Zingg Pdf

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.

Author : Daniel Alpay
Publisher : Springer Science & Business Media
Page : 197 pages
File Size : 54,7 Mb
Release : 2006-08-06
Category : Mathematics
ISBN : 9783764375881

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Wavelets, Multiscale Systems and Hypercomplex Analysis by Daniel Alpay Pdf

This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.

Author : R. Liebe
Publisher : WIT Press
Page : 433 pages
File Size : 53,9 Mb
Release : 2006-11-10
Category : Science
ISBN : 9781845640958

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Flow Phenomena in Nature: Inspiration, learning and application by R. Liebe Pdf

Do we have an adequate understanding of fluid dynamics phenomena in nature and evolution, and what physical models do we need? What can we learn from nature to stimulate innovations in thinking as well as in engineering applications? Concentrating on flight and propulsion, this unique and accessible book compares fluid dynamics solutions in nature with those in engineering. The respected international contributors present up-to-date research in an easy to understand manner, giving common viewpoints from fields such as zoology, engineering, biology, fluid mechanics and physics. This transdisciplinary approach eliminates barriers and opens wider perspectives to both of the challenging questions above. Contents: Applications in Engineering and Medicine; Inspiration from Nature; Steady and Unsteady Fluid Dynamics; Specific Numerical and Experimental Methods

Author : Damien Tromeur-Dervout,Gunther Brenner,David R. Emerson,Jocelyne Erhel
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 55,8 Mb
Release : 2010-09-21
Category : Science
ISBN : 9783642144387

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Parallel Computational Fluid Dynamics 2008 by Damien Tromeur-Dervout,Gunther Brenner,David R. Emerson,Jocelyne Erhel Pdf

This book collects the proceedings of the Parallel Computational Fluid Dynamics 2008 conference held in Lyon, France. Contributed papers by over 40 researchers representing the state of the art in parallel CFD and architecture from Asia, Europe, and North America examine major developments in (1) block-structured grid and boundary methods to simulate flows over moving bodies, (2) specific methods for optimization in Aerodynamics Design, (3) innovative parallel algorithms and numerical solvers, such as scalable algebraic multilevel preconditioners and the acceleration of iterative solutions, (4) software frameworks and component architectures for parallelism, (5) large scale computing and parallel efficiencies in the industrial context, (6) lattice Boltzmann and SPH methods, and (7) applications in the environment, biofluids, and nuclear engineering.