Key Features
• Truly interdisciplinary: scientific interactions between specialties of atmospheric and ocean sciences and applied and computational mathematics
• Uses the approach of computational mathematicians, applied and numerical analysts and the tools appropriate for unsolved problems in the atmospheric and oceanic sciences
• Contributions uniquely address central problems and provide a survey of the frontier of research
Readership
This compilation is ideal for graduate students and researchers alike: Physical Sciences and Engineering, Numerical Methods in Engineering, Numerical Analysis, Applied Mathematics.
Computational Methods for the Atmosphere and the Oceans, 1st Edition
Part 1. Modeling
1.) Finite-Volume Methods in Meteorology
2.) Computational Kernel Algorithms for Fine-Scale, Multi-Process, Long-Time Oceanic Simulations
Part 2. Nonlinear Methods
3.) Bifurcation analysis of ocean, atmosphere and climate models
4.) Time-Periodic Flows in Geophysical and Classical Fluid Dynamics
5.) Discrete momentum maps for lattice EPDiff
6.) Numerical generation of stochastic differential equations in climate models
Part 3. Turbulence
7.) Large-eddy simulations for geophysical fluid dynamics
8.) Two examples from geophysical and astrophysical turbulence on modeling disparate scale interactions
Part 4. Data Assimilation
9.) Data Assimilation for Geophysical Fluids
10.) Continuum and Discrete Covariance Propagation for Advective Dynamics
Part 5. Analysis
11.) The 3D Primitive Equations in the absence of viscosity: Boundary Conditions and well-posedness in the linearized case
12.) Some Mathematical Problems in Geophysical Fluid Dynamics
