Elements of Numerical Methods for Compressible Flows

The purpose of this book is to present numerical methods for compressible flows.

Doyle D. Knight (Author)

9781107407022, Cambridge University Press

Paperback / softback, published 30 August 2012

266 pages
25.4 x 17.8 x 1.4 cm, 0.47 kg

Review of the hardback: '… this is a clear and concise book on key elements of an important set of numerical methods for simulating flows with shocks. I am very glad to have it on my bookshelf.' Theoretical and Computational Fluid Dynamics

The purpose of this book is to present the basic elements of numerical methods for compressible flows. It is appropriate for advanced undergraduate and graduate students and specialists working in high speed flows. The focus is on the unsteady one-dimensional Euler equations which form the basis for numerical algorithms in compressible fluid mechanics. The book is restricted to the basic concepts of finite volume methods, and even in this regard is not intended to be exhaustive in its treatment. Although the practical applications of the one-dimensional Euler equations are limited, virtually all numerical algorithms for inviscid compressible flow in two and three dimensions owe their origin to techniques developed in the context of the one-dimensional Euler equations. The author believes it is therefore essential to understand the development and implementation of these algorithms in their original one-dimensional context. The text is supplemented by numerous end-of-chapter exercises.

1. Governing equations
2. Mathematical nature of 1-D Euler equations
3. 1-D Euler equations
4. Reconstruction
5. Godunov methods
6. Flux vector splitting methods
7. Temporal quadrature
8. TVD methods
Index
Notes
Bibliography.

Subject Areas: Aerospace & aviation technology [TRP], Fluid mechanics [PHDF]