High Accuracy Computing Methods: Fluid Flows and Wave Phenomena - Rilegato

Sengupta, Tapan

 
9781107023635: High Accuracy Computing Methods: Fluid Flows and Wave Phenomena

Sinossi

This book presents topics in a single source format using unified spectral theory of computing.

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Descrizione del libro

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.

Contenuti

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.

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