Computational Gasdynamics

Computational Gasdynamics

by Culbert B. Laney
     
 

ISBN-10: 0521570697

ISBN-13: 9780521570695

Pub. Date: 12/28/2010

Publisher: Cambridge University Press

Numerical methods are indispensable tools in the analysis of complex fluid flows, giving rise to the burgeoning field of computational fluid dynamics (CFD). This book focuses on computational techniques for high-speed gas flows, especially gas flows containing shocks and other steep gradients. The book decomposes complicated numerical methods into simple modular parts…  See more details below

Overview

Numerical methods are indispensable tools in the analysis of complex fluid flows, giving rise to the burgeoning field of computational fluid dynamics (CFD). This book focuses on computational techniques for high-speed gas flows, especially gas flows containing shocks and other steep gradients. The book decomposes complicated numerical methods into simple modular parts, showing how each part fits and how each method relates to or differs from others. The text begins with a review of gasdynamics and computational techniques. Next come basic principles of computational gasdynamics. The last two parts cover basic techniques - including the Lax-Friedrichs method, the Lax-Wendroff method, MacCormack's method, and Godunov's methodand advanced techniques, such as TVD, ENO, flux-limited, and flux-corrected methods. Every method is tested on the same carefully constructed set of test problems, which helps to expose similarities and differences under actual performance conditions. Senior- and graduate-level students, especially in aerospace engineering, as well as researchers and practicing engineers, will use this single source to find a wealth of invaluable information on high-speed gas flows.

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Product Details

ISBN-13:
9780521570695
Publisher:
Cambridge University Press
Publication date:
12/28/2010
Pages:
630
Product dimensions:
6.97(w) x 9.96(h) x 1.38(d)

Table of Contents

Preface
Ch. 1Introduction1
Ch. 2Governing Equations of Gasdynamics5
Ch. 3Waves21
Ch. 4Scalar Conservation Laws48
Ch. 5The Riemann Problem71
Ch. 6Numerical Error105
Ch. 7Orthogonal Functions117
Ch. 8Interpolation132
Ch. 9Piecewise-Polynomial Reconstruction150
Ch. 10Numerical Calculus172
Ch. 11Conservation and Other Basic Principles187
Ch. 12The CFL Condition214
Ch. 13Upwind and Adaptive Stencils222
Ch. 14Artificial Viscosity249
Ch. 15Linear Stability255
Ch. 16Nonlinear Stability272
Ch. 17Basic Numerical Methods for Scalar Conservation Laws309
Ch. 18Basic Numerical Methods for the Euler Equations351
Ch. 19Boundary Treatments430
Ch. 20Flux Averaging I: Flux-Limited Methods459
Ch. 21Flux Averaging II: Flux-Corrected Methods504
Ch. 22Flux Averaging III: Self-Adjusting Hybrid Methods541
Ch. 23Solution Averaging: Reconstruction-Evolution Methods565
Ch. 24A Brief Introduction to Multidimensions597
Index605

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