Numerical Methods for Fluid Dynamics
Numerical Methods for Fluid Dynamics

Author: Dale R. Durran

Publisher: Springer Science & Business Media

Published: 2010-09-14

Total Pages: 527

ISBN-13: 1441964126

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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 Fluid Dynamics V
Numerical Methods for Fluid Dynamics V

Author: K. W. Morton

Publisher: Oxford University Press

Published: 1995

Total Pages: 650

ISBN-13: 9780198514800

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This book contains the proceedings of an international conference on Numerical Methods for Fluid Dynamics held at the University of Oxford in April 1995. It provides a summary of recent research on the computational aspects of fluid dynamics. It includes contributions from many distinguished mathematicians and engineers and, as always, the standard of papers is high. The main themes of the book are algorithms and algorithmic needs arising from applications, Navier-Stokes on flexible grids, and environmental computational fluid dynamics. Graduate students of numerical analysis will find the up-to-date coverage of research in this book very useful.

Numerical Methods for Wave Equations in Geophysical Fluid Dynamics
Numerical Methods for Wave Equations in Geophysical Fluid Dynamics

Author: Dale R. Durran

Publisher: Springer Science & Business Media

Published: 1998-11-25

Total Pages: 488

ISBN-13: 0387983767

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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.

Fluid Dynamics
Fluid Dynamics

Author: Guido Visconti

Publisher: Springer Nature

Published: 2020-07-10

Total Pages: 326

ISBN-13: 3030495620

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This introductory book addresses a broad range of classical Fluid Dynamics topics, interesting applications, and related problems in everyday life. The geophysical and astrophysical applications discussed concern e.g. the shape and internal structure of the Earth and stars, the dynamics of the atmosphere and ocean, hydrodynamic instabilities, and the different kinds of waves that can be found in the atmosphere, ocean and solid Earth. Non-linear waves (solitons) are also mentioned. In turn, the book explores problems from everyday life, including the motion of golf balls, life at low Reynolds numbers, the physics of sailing, and the aerodynamics of airplanes and Grand Prix cars. No book on this topic would be complete without a look at chaos and turbulence; here the problems span from Gaussian plumes to chaotic dynamos, to stochastic climate modeling. Advances in fluid dynamics have produced a wealth of numerical methods and techniques, which are used in many of the applications. Given its structure, the book can be used both for an introductory course to fluid dynamics and as preparation for more advanced problems typical of graduate-level courses.

Computational Methods in Environmental Fluid Mechanics
Computational Methods in Environmental Fluid Mechanics

Author: Olaf Kolditz

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 382

ISBN-13: 3662047616

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Fluids play an important role in environmental systems appearing as surface water in rivers, lakes, and coastal regions or in the subsurface as well as in the atmosphere. Mechanics of environmental fluids is concerned with fluid motion, associated mass and heat transport as well as deformation processes in subsurface systems. In this reference work the fundamental modelling approaches based on continuum mechanics for fluids in the environment are described, including porous media and turbulence. Numerical methods for solving the process governing equations as well as its object-oriented computer implementation are discussed and illustrated with examples. Finally, the application of computer models in civil and environmental engineering is demonstrated.

Numerical Methods in Fluid Dynamics
Numerical Methods in Fluid Dynamics

Author: Gary A. Sod

Publisher: Cambridge University Press

Published: 1985-10-31

Total Pages: 464

ISBN-13: 9780521259248

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Here is an introduction to numerical methods for partial differential equations with particular reference to those that are of importance in fluid dynamics. The author gives a thorough and rigorous treatment of the techniques, beginning with the classical methods and leading to a discussion of modern developments. For easier reading and use, many of the purely technical results and theorems are given separately from the main body of the text. The presentation is intended for graduate students in applied mathematics, engineering and physical sciences who have a basic knowledge of partial differential equations.

Numerical Methods for Fluid Dynamics III
Numerical Methods for Fluid Dynamics III

Author: K. W. Morton

Publisher:

Published: 1988

Total Pages: 560

ISBN-13:

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This book is based on the proceedings of the third conference in a series on techniques of numerical analysis in fluid dynamics. It brings together mathematicians, engineers, and other scientists in the field of computational aerodynamics and fluid dynamics to review recent advances in mathematical and computational techniques for modelling fluid flows. The three main themes treated in this volume are numerical algorithms, grid generation techniques, and unsteady flows.