Numerical Methods for Atmospheric and Oceanic Sciences

A guide for atmospheric and oceanic sciences courses primarily and also for students of applied mathematics, mechanical & aerospace engineering.

A. Chandrasekar (Author)

9781009100564, Cambridge University Press

Hardback, published 10 November 2022

400 pages
24.6 x 18.8 x 3.2 cm, 1.04 kg

Numerical Methods for Atmospheric and Oceanic Sciences caters to the needs of students of atmospheric and oceanic sciences in senior undergraduate and graduate courses as well as students of applied mathematics, mechanical and aerospace engineering. The book covers fundamental theoretical aspects of the various numerical methods that will help both students and teachers in gaining a better understanding of the effectiveness and rigour of these methods. Extensive applications of the finite difference methods used in the processes involving advection, barotropic, shallow water, baroclinic, oscillation and decay are covered in detail. Special emphasis is given to advanced numerical methods such as Semi-Lagrangian, Spectral, Finite Element and Finite Volume methods. Each chapter includes various exercises including Python codes that will enable students to develop the codes and compare the numerical solutions obtained through different numerical methods.

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.

Subject Areas: Meteorology & climatology [RBP], Oceanography [seas RBKC], Atmospheric physics [PHVJ]