Adaptive Atmospheric Modeling: Key Techniques in Grid Generation, Data Structures, and Numerical Operations with Applications

ISBN-13: 9783540333821 / Angielski / Miękka / 2006 / 214 str.

Jorn Behrens

Opis

This is an overview of the development of adaptive techniques for atmospheric modeling. Written in an educational style, it functions as a starting point for readers interested in adaptive modeling, in atmospheric sciences and beyond. Coverage includes paradigms of adaptive techniques, such as error estimation and adaptation criteria. Mesh generation methods are presented for triangular/tetrahedral and quadrilateral/hexahedral meshes, with a special section on initial meshes for the sphere.

Spis treści

Principles of Adaptive Atmospheric Modeling.- Grid Generation.- Data Structures for Computational Efficiency.- Issues in Parallelization of Irregularly Structured Problems.- Numerical Treatment of Differential Operators on Adaptive Grids.- Discretization of Conservation Laws.- Example Applications.- Conclusions.- Some Basic Mathematical Tools.- Metrics for Parallelizing Irregularly Structured Problems.- Rotating Shallow Water Equations in Spherical Geometries.