On separation of variables in the linearized nonhydrostatic atmospheric model
The equations of the vertical and time-horizontal structures of the linearized nonhydrostatic atmospheric model are derived based only on a supposition of separation of variables. The obtained results are compared with those of the traditional approach of searching for solutions in the wave form wit...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Borntraeger
2016-02-01
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| Series: | Meteorologische Zeitschrift |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1127/metz/2015/0690 |
| Summary: | The equations of the vertical and time-horizontal structures of the linearized nonhydrostatic atmospheric model are derived based only on a supposition of separation of variables. The obtained results are compared with those of the traditional approach of searching for solutions in the wave form with respect to time and/or horizontal coordinates. It is shown that all formulas of the vertical structure follow from the supposition of separation of the vertical coordinate alone. The time-horizontal structure equations are derived in a general form, which is reduced to the wave-type formulas under additional assumptions. |
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| ISSN: | 0941-2948 |