Computational Vector Mechanics in Atmospheric and Climate Modeling

James Williams, Britton Landry, Matthew Mogensen and Theodore V. V. Hromadka

A chapter in Topics in Climate Modeling from IntechOpen

Abstract: The mathematical underpinnings of vector analysis are reviewed as they are applied in the development of the ensemble of numeric statements for subsequent matrix solution. With the continued advances in computational power, there is increased interest in the field of atmospheric modelling to decrease the computational scale to a micro-scale. This interest is partially motivated by the ability to solve large scale matrix systems in the number of occasions to enable a small-scale time advancement to be approximated in a finite-difference scheme. Solving entire large scale matrix systems several times a modelling second is now computationally feasible. Hence the motivation to increase computational detail by reducing modelling scale.

Keywords: Vectors; vector fields; curl; divergence; Divergence Theorem (search for similar items in EconPapers)
JEL-codes: Q54 (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:ito:pchaps:102663

DOI: 10.5772/65009

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