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First Course in Computational Fluid Dynamics [Kõva köide]

(Virginia Polytechnic Institute and State University), (University of Florida)
  • Formaat: Hardback, 404 pages, kõrgus x laius x paksus: 253x180x23 mm, kaal: 960 g, Worked examples or Exercises; 9 Tables, black and white; 6 Halftones, color; 39 Halftones, black and white; 25 Line drawings, black and white
  • Ilmumisaeg: 12-Oct-2017
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107178517
  • ISBN-13: 9781107178519
Teised raamatud teemal:
First Course in Computational Fluid DynamicsSuurem pilt
  • Formaat: Hardback, 404 pages, kõrgus x laius x paksus: 253x180x23 mm, kaal: 960 g, Worked examples or Exercises; 9 Tables, black and white; 6 Halftones, color; 39 Halftones, black and white; 25 Line drawings, black and white
  • Ilmumisaeg: 12-Oct-2017
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107178517
  • ISBN-13: 9781107178519
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781107178519.html
Märksõnad:
Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics.

Arvustused

'The strength of this book lies in its emphasis on a complete presentation of the underlying theories followed by clear steps and concise formulation applied to a plethora of problems, which include basic numerical schemes such as Euler and Runge-Kutta methods and relatively advanced schemes such as the pseudo-spectral method, spectral methods with body fitted grids, and the immersed boundary method These attributes make it highly attractive as a technical elective for engineering upperclassmen (following an introductory course in fluid mechanics) and forgraduate students, including those studying applied mathematics. Recommended.' R. N. Laoulache, Choice

Muu info

This book provides a broad coverage of computational fluid dynamics that will interest engineers, astrophysicists, mathematicians, oceanographers and ecologists.
Preface vii
1 CFD in Perspective
1(34)
1.1 The Nature of CFD
1(2)
1.2 Overview of the Book
3(2)
1.3 Algorithm, Numerical Method, Implementation and Simulation
5(4)
1.4 Models and Methods
9(6)
1.5 Round-off Error
15(3)
1.6 A Hierarchy of Computation
18(8)
1.7 Ramification, Turbulence and the Complexity of Fluid Flows
26(5)
1.8 The Development of Computer Hardware
31(2)
1.9 Some Remarks on Software
33(2)
2 Mappings
35(34)
2.1 Numerical Methods as Mappings
35(2)
2.2 Fixed Points: Stability, Instability and Superstability
37(3)
2.3 Stability of Exact Solution, Implicit and Explicit Approximations
40(3)
2.4 More on Mappings
43(7)
2.5 Random Number Generation
50(2)
2.6 Newton's Method in the Complex Plane
52(4)
2.7 Mappings and Fluid Flows
56(13)
3 Ordinary Differential Equations: Initial Value Problem
69(49)
3.1 Some Conventional Wisdom
69(2)
3.2 Explicit Euler and Implicit Euler Schemes
71(6)
3.3 Runge--Kutta Methods
77(7)
3.4 Adams--Bashforth--Moulton Methods
84(6)
3.5 Other Methods and Considerations
90(2)
3.6 Bashforth's Problem: Sessile Drop on a Flat Plate
92(3)
3.7 Flow Due to a Collapsing Bubble
95(8)
3.8 Motion of a Solid in Ideal Fluid
103(3)
3.9 The Point-Vortex Equations
106(5)
3.10 Vortex Sheet Roll-up
111(7)
4 Spatial Discretization
118(48)
4.1 Forward, Backward and Central Difference
119(8)
4.2 Matrix Derivative Operators
127(11)
4.3 Compact Differences
138(3)
4.4 Non-uniform Discretization
141(3)
4.5 Numerical Interpolation
144(5)
4.6 Numerical Integration
149(17)
5 Boundary Value and Eigenvalue ODEs
166(44)
5.1 Linear Boundary Value Problems
167(8)
5.2 Nonlinear Boundary Value Problems
175(9)
5.3 Boundary Value Problems in Viscous Flow
184(4)
5.4 Eigenvalue Problems
188(4)
5.5 Hydrodynamic Instability
192(18)
6 Methods Based on Functional Expansions
210(34)
6.1 Introduction
210(1)
6.2 Fourier Approximation
211(7)
6.3 Polynomial Approximation
218(8)
6.4 Galerkin, Tau, Collocation and Pseudo-spectral Methods
226(14)
6.5 Some Examples
240(4)
7 Partial Differential Equations
244(49)
7.1 Definitions and Preliminaries
244(6)
7.2 The Advection Equation
250(9)
7.3 The Diffusion Equation
259(3)
7.4 The Advection--Diffusion Equation
262(5)
7.5 Godunov's Theorem
267(3)
7.6 More on Stability: Non-periodic Boundary Conditions
270(9)
7.7 Burgers' Equation
279(4)
7.8 Implicit Time-differencing
283(4)
7.9 Direct Solution with Matrix Representation
287(6)
8 Multi-dimensional Partial Differential Equations
293(82)
8.1 Multi-dimensions
293(16)
8.2 Navier--Stokes Equations
309(19)
8.3 Navier--Stokes Equations in Spectral Form
328(6)
8.4 Finite Volume Formulation
334(3)
8.5 CFD for Complex Geometries
337(19)
8.6 Sharp Interface Cartesian Grid Method
356(4)
8.7 Immersed Boundary Method
360(15)
References 375(15)
Index 390