Bücher der Reihe Scientific Computation

The LES-method is rapidly developing in many practical applications in engineeringThe mathematical background is presented here for the first time in book form by one of the leaders in the field

Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas.

Book) 2 Computational Techniques for Solution of Convective Equations 5 (D. 2 Requirements for Convective Equation Algorithms 7 2. 3 Quasiparticle Methods 10 2. 4 Characteristic Methods 13 2. 5 Finite-Difference Methods 15 2. 2 ETBFCT: A Fully Vectorized FCT Module 33 3. 2 Time Integration Schemes for Barotropic Models 58 4.

This book is devoted to mathematical modeling of tokamak plasma. Experiments on plasma heating with the help of neutral beams and high-frequency (HF) waves on previous generation devices made it possible to obtain high-P plasmas.

As a result of the numerical simulation of multidimensional gas dynamics problems on a computer, the output information is obtained in the form of immense arrays of numerical data.

The second half of the book covers the treatment of a variety of steady flow problems, including effects of both viscosity and compressibi lity, by the Method of Integral Relations, Telenin's Method, and the Method of Lines.

The treatment of the approximation of gas dynamic equations focuses on the question of how to characterize the typical features of difference equations on the basis of the related differential approximation, which can be discussed using the fully developed theory of partial differential equations.

In this step-by-step guide to numerical simulations of complex transport phenomena, now in an updated second edition, the authors provide an in-depth presentation of modern FCT algorithms as well as the range of criteria underlying their design.

Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications.

This is a fully revised and updated second edition of the introduction to structured and unstructured grid methods in scientific computing. It formulates basic local and integral grid quality measures and reviews fresh approaches to mesh generation.

This book addresses stochastic optimization procedures in a broad manner. Written primarily with scientists and students from the physical and engineering sciences in mind, this book addresses a larger community of all who wish to learn about stochastic optimization techniques and how to use them.

This book addresses both the fundamentals and the practical industrial applications of Large Eddy Simulation (LES) in order to bridge the gap between LES research and the growing need to use it in engineering modeling.

This complementary text provides detailed solutions for the problems that appear in Chapters 2 to 18 of Computational Techniques for Fluid Dynamics (CTFD), Second Edition.

When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task.

The purpose and organisation of this book are described in the preface to the first edition (1988). I would like to take this opportunity to thank the many readers for their usually generous comments about the first edition and particularly those readers who went to the trouble of drawing specific errors to my attention.

In the second part of the book they construct numerical methods for solving complicated problems for partial differential equations occurring in practical applications, both linear and nonlinear.

A comprehensive description of hybrid plasma simulation models providing a very useful summary and guide to the vast literature on this topic.

This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.

The book gives the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

From the reviews of the first edition: "This book is directed to graduate students and research workers interested in the numerical solution of problems of fluid dynamics, primarily those arising in high speed flow.

This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies. It includes a large list of industrial applications with their mathematical formulations.

This edited volume features cutting-edge research in eddy-current technology, anticipating the future of the field. It is the first book to show how advanced computing can solve difficult practical problems in eddy-current non-destructive evaluation (NDE).

This book presents applications of spectral methods to problems of uncertainty propagation and quantification in model-based computations, focusing on the computational and algorithmic features of these methods most useful in dealing with models based on partial differential equations, in particular models arising in simulations of fluid flows.

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.

A companion to "Fundamentals in Single Domains", which discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in global basis functions. This book contains a survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries.

This well-known 2-volume textbook provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics. A solutions manual to the exercises is in preparation.

This monograph is intended as a concise and self-contained guide for practitioners and graduate students to applying approaches in computational fluid dynamics (CFD) to real-world problems that require a quantification of viscous incompressible flows.