Zusammenfassung

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.

Inhalt
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.