Principles of Computational Fluid Dynamics / Edition 1

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Overview

The book is aimed at graduate students, researchers, engineers and physicists involved in flow computations. An up-to-date account is given of the present state-of-the-art of numerical methods employed in computational fluid dynamics.
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Editorial Reviews

From the Publisher

"This book is a well-written graduate level text in computational fluid dynamics. The text begins with a rather thorough discussion and derivation of the equations of fluid dynamics, followed by a review of topics in the theory of partial differential equations. There is a good introduction to the two numerical methods, finite volume and finite difference, that are treated in this text. The material is well-organized, starting with simple one-dimensional equations and moving to numerical methods for two-dimensional and three-dimensional problems. Grids are treated in some detail. In addition to simple colocated grids, there is discussion of non-uniform, staggered, and unstructured grids. There is a good mixture of theoretical and computational topics. This text should be of value to all researchers interested in computational fluid dynamics." — MATHEMATICAL REVIEWS

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Product Details

  • ISBN-13: 9783540678533
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 11/27/2000
  • Series: Springer Series in Computational Mathematics , #29
  • Edition description: 2001
  • Edition number: 1
  • Pages: 644
  • Product dimensions: 6.14 (w) x 9.21 (h) x 1.38 (d)

Table of Contents

Preface
1 The basic equations of fluid dynamics 1
2 Partial differential equations: analytic aspects 53
3 Finite volume and finite difference discretization on nonuniform grids 81
4 The stationary convection-diffusion equation 111
5 The nonstationary convection-diffusion equation 163
6 The incompressible Navier-Stokes equations 227
7 Iterative methods 263
8 The shallow-water equations 305
9 Scalar conservation laws 339
10 The Euler equations in one space dimension 397
11 Discretization in general domains 467
12 Numerical solution of the Euler equations in general domains 503
13 Numerical solution of the Navier-Stokes equations in general domains 531
14 Unified methods for computing incompressible and compressible flow 567
References 603
Index 633
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