Introduction to the Numerical Analysis of Incompressible Viscous Flows
Introduction to the Numerical Analysis of Incompressible Viscous Flows
£47.99
GBPThis book treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behaviour, analysis, and numerical analysis of Navier–Stokes equations; and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. Introduction to the Numerical Analysis of Incompressible Viscous Flows provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to more complex flows. With mathematical rigour and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a manageable format.
- Includes numerous exercises for better understanding
- Can be covered in one term without requiring extensive background information on the subject
- Unified treatment of fluid mechanics, analysis and numerical analysis
Product details
December 2008Paperback
9780898716573
233 pages
253 × 178 × 11 mm
0.43kg
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Table of Contents
- Foreword
- Preface
- 1. Mathematical preliminaries: energy and stress
- 2. Approximating scalars
- 3. Vector and tensor analysis
- 4. Approximating vector functions
- 5. The equations of fluid motion
- 6. The steady Navier–Stokes equations
- 7. Approximating steady flows
- 8. The time-dependent Navier–Stokes equations
- 9. Approximating time-dependent flows
- 10. Models of turbulent flow
- Appendix.
