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 |
| Published: |
Borntraeger
2016-02-01
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| Series: | Meteorologische Zeitschrift |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1127/metz/2015/0690 |
| _version_ | 1830412915761479680 |
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| author | Andrei Bourchtein Ludmila Bourchtein |
| author_facet | Andrei Bourchtein Ludmila Bourchtein |
| author_sort | Andrei Bourchtein |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T20:16:52Z |
| format | Article |
| id | doaj.art-5ec6de0dda2f4c1a90f36c30b9935aba |
| institution | Directory Open Access Journal |
| issn | 0941-2948 |
| language | English |
| last_indexed | 2024-12-20T20:16:52Z |
| publishDate | 2016-02-01 |
| publisher | Borntraeger |
| record_format | Article |
| series | Meteorologische Zeitschrift |
| spelling | doaj.art-5ec6de0dda2f4c1a90f36c30b9935aba2022-12-21T19:27:41ZengBorntraegerMeteorologische Zeitschrift0941-29482016-02-01251798410.1127/metz/2015/069085162On separation of variables in the linearized nonhydrostatic atmospheric modelAndrei BourchteinLudmila BourchteinThe 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.http://dx.doi.org/10.1127/metz/2015/0690nonhydrostatic equationssmall perturbationsseparation of variablesvertical structure equation |
| spellingShingle | Andrei Bourchtein Ludmila Bourchtein On separation of variables in the linearized nonhydrostatic atmospheric model Meteorologische Zeitschrift nonhydrostatic equations small perturbations separation of variables vertical structure equation |
| title | On separation of variables in the linearized nonhydrostatic atmospheric model |
| title_full | On separation of variables in the linearized nonhydrostatic atmospheric model |
| title_fullStr | On separation of variables in the linearized nonhydrostatic atmospheric model |
| title_full_unstemmed | On separation of variables in the linearized nonhydrostatic atmospheric model |
| title_short | On separation of variables in the linearized nonhydrostatic atmospheric model |
| title_sort | on separation of variables in the linearized nonhydrostatic atmospheric model |
| topic | nonhydrostatic equations small perturbations separation of variables vertical structure equation |
| url | http://dx.doi.org/10.1127/metz/2015/0690 |
| work_keys_str_mv | AT andreibourchtein onseparationofvariablesinthelinearizednonhydrostaticatmosphericmodel AT ludmilabourchtein onseparationofvariablesinthelinearizednonhydrostaticatmosphericmodel |