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"Numerical Methods for Atmospheric and Oceanic Sciences deals with various numerical methods that are applied to fluid systems like the atmosphere and hydrosphere. With a detailed and comprehensive overview of the various numerical methods that are applied to fluid systems in general and atmospheric and oceanic science, this book will be useful for students of atmospheric and oceanic sciences in both senior undergraduate and graduate courses. It provides details of the application of the finite difference methods to various problems that involve processes like advection, barotropic, shallow water, baroclinic, oscillation, and decay. The concepts of consistency, stability, and convergence are also emphasized. There is a conscious effort to simplify the Eulerian method of solution used in solving nonlinear partial differential equations, which is usually difficult to understand. The book also provides broad details and applications of advanced numerical methods such as spectral method, finite element method, and finite volume method"--
List of contents
1. Partial Differential Equations; 2. Equations of fluid motion; 3. Finite Difference Method; 4. Consistency and Stability Analysis; 5. Oscillation Decay Equations; 6. Linear Advection Equation; 7. Numerical Solution of Elliptic Partial Differential Equation; 8. Shallow Water Equations; 9. Numerical Methods for Solving Shallow Water Equations; 10. Numerical Methods for Solving Barotropic Equations; 11. Numerical Methods for Solving Baroclinic Equations; 12. Boundary Conditions; 13. Lagrangian and Semi-Lagrangian Schemes; 14. Spectral Methods; 15. Finite Volume and Finite Element Methods; 16. Ocean Models; A Tridiagonal Matrix Algorithm; Bibliography.
Summary
The book provides details of various numerical methods applicable to fluid systems in general and to the atmosphere and hydrosphere in a comprehensive manner. The text deals with general computational fluid dynamics techniques and algorithms and is also useful for students of applied mathematics, mechanical engineering, and aerospace engineering.
Foreword
A guide for atmospheric and oceanic sciences courses primarily and also for students of applied mathematics, mechanical & aerospace engineering.
