Elements of Numerical Methods for Compressible Flows
Author: Doyle Knight
Publisher: Cambridge University Press
Published: 2006-08-14
Total Pages: 280
ISBN-13: 9780521554749
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Numerical Methods for Two-phase Incompressible Flows
Author: Sven Gross
Publisher: Springer Science & Business Media
Published: 2011-04-26
Total Pages: 487
ISBN-13: 3642196861
DOWNLOAD EBOOKThis book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.
Riemann Solvers and Numerical Methods for Fluid Dynamics
Author: Eleuterio F. Toro
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 635
ISBN-13: 366203915X
DOWNLOAD EBOOKHigh resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.
Finite Element Methods for Incompressible Flow Problems
Author: Volker John
Publisher: Springer
Published: 2016-10-27
Total Pages: 816
ISBN-13: 3319457500
DOWNLOAD EBOOKThis book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.
Computational Methods for Fluid Flow
Author: Roger Peyret
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 364
ISBN-13: 3642859526
DOWNLOAD EBOOKIn developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.
Mathematical and Computational Methods for Compressible Flow
Author: Miloslav Feistauer
Publisher: Oxford University Press
Published: 2003
Total Pages: 560
ISBN-13: 9780198505884
DOWNLOAD EBOOKThis book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used in Computational Fluid Dynamics (CFD) for the numerical simulation of compressible flow. Up-to-date techniques applied in the numerical solution of inviscid as well as viscous compressible flow on unstructured meshes are explained, thus allowing the simulation of complex three-dimensional technically relevant problems. Among some of the methods addressed are finite volume methods using approximate Riemann solvers, finite element techniques, such as the streamline diffusion and the discontinuous Galerkin methods, and combined finite volume - finite element schemes. The book gives a complex insight into the numerics of compressible flow, covering the development of numerical schemes and their theoretical mathematical analysis, their verification on test problems and use in solving practical engineering problems. The book will be helpful to specialists coming into contact with CFD - pure and applied mathematicians, aerodynamists, engineers, physicists and natural scientists. It will also be suitable for advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences.
Mathematical Fluid Mechanics
Author: Jiri Neustupa
Publisher: Springer Science & Business Media
Published: 2001-08-01
Total Pages: 288
ISBN-13: 9783764365936
DOWNLOAD EBOOKMathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.
Energy Deposition for High-Speed Flow Control
Author: Doyle Knight
Publisher: Cambridge University Press
Published: 2019-02-21
Total Pages: 463
ISBN-13: 1107123054
DOWNLOAD EBOOKDescribes energy deposition using direct current (DC), microwave and laser discharge for flow control at high speeds.
Characteristics Finite Element Methods in Computational Fluid Dynamics
Author: Joe Iannelli
Publisher: Springer Science & Business Media
Published: 2006-09-24
Total Pages: 744
ISBN-13: 3540453431
DOWNLOAD EBOOKThis book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from first thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations.
Discontinuous Galerkin Methods
Author: Bernardo Cockburn
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 468
ISBN-13: 3642597211
DOWNLOAD EBOOKA class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.
