Browning, G. L. and Kreiss, H.-O. (1986) Scaling and computation of smooth atmospheric motions. Tellus A, 38A (4). pp. 295-313. ISSN 0280-6495. doi:10.1111/j.1600-0870.1986.tb00417.x. https://resolver.caltech.edu/CaltechAUTHORS:20150810-094244000
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Abstract
We introduce a general scaling of the inviscid Eulerian equations which is satisfied by all members of the set of adiabatic smooth stratified atmospheric motions. Then we categorize the members into mutually exclusive subsets. By applying the bounded derivative principle to each of the subsets, we determine the specific scaling satisfied by that subset. One subset is midlatitude motion which is hydrostatic and has equal horizontal length scales. Traditionally, the primitive equations have been used to describe these motions. However it is well known that the use of the primitive equations for a limited area forecast of these motions leads to an ill-posed initial-boundary value problem. We introduce an alternate system which accurately describes this type of motion and can be used to form a well-posed initial-boundary value problem. We prove that the new system can also be used for any adiabatic or diabatic smooth stratified flow. Finally, we present supporting numerical results.
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| Additional Information: | This journal is published under the terms of the Creative Commons Attribution 4.0 International (CC-BY 4.0) License. (Manuscript received March 6; in final form September 18, 1985) This work could not have been completed without the cooperation of Akira Kasahara. The authors wish to thank him for the extensive support he has given us throughout the course of this project. He also reviewed the original version of the manuscript and made numerous helpful suggestions. Sponsored by the National Science Foundation. The work of this author was supported in part by NSF under Grant ATM-A201207 and by the Office of Naval Research under contract N00014-83-K0422. | |||||||||
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| Issue or Number: | 4 | |||||||||
| DOI: | 10.1111/j.1600-0870.1986.tb00417.x | |||||||||
| Record Number: | CaltechAUTHORS:20150810-094244000 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150810-094244000 | |||||||||
| Official Citation: | BROWNING, G. L. and KREISS, H.-O. (1986), Scaling and computation of smooth atmospheric motions. Tellus A, 38A: 295–313. doi: 10.1111/j.1600-0870.1986.tb00417.x | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 59345 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 10 Aug 2015 16:57 | |||||||||
| Last Modified: | 10 Nov 2021 22:19 |
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