Numerical Methods for Atmospheric and Oceanic Sciences

ISBN-13: 9781009100564 / Angielski / Twarda / 2022

Chandrasekar A Chandrasekar

Opis

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

Spis treści

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.