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Numerical Methods for Fluids, Part 3

Numerical Methods for Fluids, Part 3 PDF Author: P.G. Ciarlet
Publisher: Elsevier
ISBN: 0080507948
Category : Mathematics
Languages : en
Pages : 1187

Book Description
Numerical Methods for Fluids, Part 3

Numerical Methods for Fluids, Part 3

Numerical Methods for Fluids, Part 3 PDF Author: P.G. Ciarlet
Publisher: Elsevier
ISBN: 0080507948
Category : Mathematics
Languages : en
Pages : 1187

Book Description
Numerical Methods for Fluids, Part 3

Handbook of Numerical Analysis

Handbook of Numerical Analysis PDF Author: Philippe G. Ciarlet
Publisher: Gulf Professional Publishing
ISBN: 9780444512475
Category : Mathematics
Languages : en
Pages : 502

Book Description


Handbook of Computational Fluid Mechanics

Handbook of Computational Fluid Mechanics PDF Author: Roger Peyret
Publisher: Academic Press
ISBN: 0125530102
Category : Computers
Languages : en
Pages : 479

Book Description
This handbook covers computational fluid dynamics from fundamentals to applications. This text provides a well documented critical survey of numerical methods for fluid mechanics, and gives a state-of-the-art description of computational fluid mechanics, considering numerical analysis, computer technology, and visualization tools. The chapters in this book are invaluable tools for reaching a deeper understanding of the problems associated with the calculation of fluid motion in various situations: inviscid and viscous, incompressible and compressible, steady and unsteady, laminar and turbulent flows, as well as simple and complex geometries. Each chapter includes a related bibliography Covers fundamentals and applications Provides a deeper understanding of the problems associated with the calculation of fluid motion

Handbook of Numerical Analysis

Handbook of Numerical Analysis PDF Author: Philippe G. Ciarlet
Publisher: Elsevier
ISBN: 9780444509062
Category : Science
Languages : en
Pages : 0

Book Description
This series of volumes covers all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume concentrates on one to three particular topics. Each article, written by an expert, is an in-depth survey, reflecting up-to-date trends in the field, and is essentially self-contained. The handbook will cover the basic methods of numerical analysis, under the following general headings: solution of equations in Rn; finite difference methods; finite element methods; techniques of scientific computing; optimization theory; and systems science. It will also cover the numerical solution of actual problems of contemporary interest in applied mathematics, under the following headings: numerical methods for fluids; numerical methods for solids; and specific applications - including meteorology, seismology, petroleum mechanics and celestial mechanics.

Numerical Heat Transfer and Fluid Flow

Numerical Heat Transfer and Fluid Flow PDF Author: Suhas Patankar
Publisher: CRC Press
ISBN: 1351991515
Category : Science
Languages : en
Pages : 218

Book Description
This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.

Complex fluids

Complex fluids PDF Author: Pierre Saramito
Publisher: Springer
ISBN: 3319443623
Category : Mathematics
Languages : en
Pages : 287

Book Description
This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot be described by Navier-Stokes equations. It also offers an up-to-date mathematical and numerical analysis of the corresponding equations, as well as several practical numerical algorithms and software solutions for the approximation of the solutions. It discusses industrial (molten plastics, forming process), geophysical (mud flows, volcanic lava, glaciers and snow avalanches), and biological (blood flows, tissues) modeling applications. This book is a valuable resource for undergraduate students and researchers in applied mathematics, mechanical engineering and physics.

A Student's Guide to Numerical Methods

A Student's Guide to Numerical Methods PDF Author: Ian H. Hutchinson
Publisher: Cambridge University Press
ISBN: 1107095670
Category : Computers
Languages : en
Pages : 223

Book Description
The plain language style, worked examples and exercises in this book help students to understand the foundations of computational physics and engineering.

Mathematical Modeling in Science and Engineering

Mathematical Modeling in Science and Engineering PDF Author: Ismael Herrera
Publisher: John Wiley & Sons
ISBN: 1118207203
Category : Technology & Engineering
Languages : en
Pages : 259

Book Description
A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.

Geometric Partial Differential Equations - Part 2

Geometric Partial Differential Equations - Part 2 PDF Author: Andrea Bonito
Publisher: Elsevier
ISBN: 0444643060
Category : Mathematics
Languages : en
Pages : 572

Book Description
Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. - About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization - Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading - The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs

Computational Methods for the Atmosphere and the Oceans

Computational Methods for the Atmosphere and the Oceans PDF Author: Roger Temam
Publisher: Elsevier
ISBN: 0080931030
Category : Computers
Languages : en
Pages : 797

Book Description
This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the current practices in global atmospheric and ocean models, the assimilation of observational data into such models and the numerical techniques used in theoretical analysis of the atmosphere and ocean are among the topics covered.• Truly interdisciplinary: scientific interactions between specialties of atmospheric and ocean sciences and applied and computational mathematics • Uses the approach of computational mathematicians, applied and numerical analysts and the tools appropriate for unsolved problems in the atmospheric and oceanic sciences• Contributions uniquely address central problems and provide a survey of the frontier of research