Introduction to the Numerical Analysis of Incompressible Viscous Flows (häftad)
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Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
233
Utgivningsdatum
2008-12-04
Förlag
Society for Industrial and Applied Mathematics
Illustrationer
ill
Dimensioner
253 x 176 x 11 mm
Vikt
440 g
Antal komponenter
1
ISBN
9780898716573
Introduction to the Numerical Analysis of Incompressible Viscous Flows (häftad)

Introduction to the Numerical Analysis of Incompressible Viscous Flows

Häftad Engelska, 2008-12-04
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This 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 ows. With mathematical rigour and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to nite element computational uid dynamics in a manageable format.
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Övrig information

William Layton is a Professor of Mathematics at the University of Pittsburgh. He is author of numerous papers in computational fluid dynamics and is currently interested in turbulence modelling and simulation.

Innehållsförteckning

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.