High Accuracy Computing Methods - Fluid Flows and Wave Phenomena

Klappentext This book presents topics in a single source format using unified spectral theory of computing. Zusammenfassung This book systematically develops scientific computing from classical approaches – describing equations of motion; classifying, discretizing and solving parabolic, elliptic, hyperbolic PDEs; curvilinear co-ordinates and structured meshing techniques; classical FVM and FEM and solving Navier–Stokes equations by FDM – to its present state in high accuracy computing. Inhaltsverzeichnis Foreword; Preface; 1. Introduction to scientific computing; 2. Governing equations of fluid mechanics; 3. Classification of quasi-linear partial differential equations; 4. Waves and space-time dependence in computing; 5. Spatial and temporal discretizations of partial differential equations; 6. Solution methods for parabolic partial differential equations; 7. Solution methods for elliptic partial differential equations; 8. Solution of hyperbolic PDEs: signal and error propagation; 9. Curvilinear coordinates and grid generation; 10. Spectral analysis of numerical schemes and aliasing error; 11. Higher accuracy and higher order methods; 12. Introduction to finite volume and finite element methods; 13. Solution of Navier¿Stokes equations; 14. Recent developments in discrete computing; Exercises; References.

Product details

• Authors: Tapan Sengupta, Tapan (Indian Institute of Technology Sengupta, Tapan K. Sengupta, Tapan K. (Indian Institute of Technology Sengupta
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 16.05.2013
• EAN: 9781107023635
• ISBN: 978-1-107-02363-5
• No. of pages: 586
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > General, dictionaries; COMPUTERS / General, Fluid mechanics, Mechanics of fluids, Mathematical theory of computation, Applied mathematics, Physics: Fluid mechanics, Wave mechanics (vibration and acoustics)