Atmospheric Chemistry and Physics
Atmospheric Chemistry and Physics
ACP
Articles | Volume 15, issue 5
Articles | Volume 15, issue 5
https://doi.org/10.5194/acp-15-2571-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/acp-15-2571-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 15, issue 5
Research article
 | 
09 Mar 2015
Research article |  | 09 Mar 2015

Theory of the norm-induced metric in atmospheric dynamics

T.-Y. Koh and F. Wan

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Short summary
A metric measures the difference between two system states. So far, there is arbitrariness in its definition in terms of wind, temperature and surface pressure of the atmosphere. The choice of definition affects many applications: e.g. predictability studies, error growth analyses and ensemble forecasts. We construct a new metric based on vector space theory and energy conservation, and apply it to analytic models and atmospheric data. We discuss its advantages over a widely used older metric.
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