Stability Conditions for an Alternated Grid in Space and Time
The stability conditions of a staggered lattice in space and time are derived. The grid used is known as the Eliassen grid (Eliassen 1956). It is shown that the stability conditions of the shallow water wave equations, for this type of lattice, have essentially the same stability condition as the...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Universiti Putra Malaysia Press
1995
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/3858/ http://psasir.upm.edu.my/id/eprint/3858/1/Stability_Conditions_for_an_Alternated.pdf |
| _version_ | 1848839649483554816 |
|---|---|
| author | Camerlengo, Alejandro Livio Ines Demmler, Monica |
| author_facet | Camerlengo, Alejandro Livio Ines Demmler, Monica |
| author_sort | Camerlengo, Alejandro Livio |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The stability conditions of a staggered lattice in space and time are derived.
The grid used is known as the Eliassen grid (Eliassen 1956). It is shown that the
stability conditions of the shallow water wave equations, for this type of lattice,
have essentially the same stability condition as the unstaggered grid and
Arakawa's B and C lattice. Upon implementation of a leapfrog scheme in a
staggered grid in space and time, there will be no computational modes. No
smoothing is needed to compute the Coriolis (gravity wave) terms as required
in Arakawa's C (B) grid. Furthermore, the usage of an Eliassen grid halves the
computation time required in Arawaka's B or C grid (Mesinger and Arakawa
1976). Therefore, there are fundamental advantages for the usage of an
alternated grid in space and time. |
| first_indexed | 2025-11-15T07:14:48Z |
| format | Article |
| id | upm-3858 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:14:48Z |
| publishDate | 1995 |
| publisher | Universiti Putra Malaysia Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-38582013-05-27T07:11:48Z http://psasir.upm.edu.my/id/eprint/3858/ Stability Conditions for an Alternated Grid in Space and Time Camerlengo, Alejandro Livio Ines Demmler, Monica The stability conditions of a staggered lattice in space and time are derived. The grid used is known as the Eliassen grid (Eliassen 1956). It is shown that the stability conditions of the shallow water wave equations, for this type of lattice, have essentially the same stability condition as the unstaggered grid and Arakawa's B and C lattice. Upon implementation of a leapfrog scheme in a staggered grid in space and time, there will be no computational modes. No smoothing is needed to compute the Coriolis (gravity wave) terms as required in Arakawa's C (B) grid. Furthermore, the usage of an Eliassen grid halves the computation time required in Arawaka's B or C grid (Mesinger and Arakawa 1976). Therefore, there are fundamental advantages for the usage of an alternated grid in space and time. Universiti Putra Malaysia Press 1995 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/3858/1/Stability_Conditions_for_an_Alternated.pdf Camerlengo, Alejandro Livio and Ines Demmler, Monica (1995) Stability Conditions for an Alternated Grid in Space and Time. Pertanika Journal of Science & Technology, 3 (2). pp. 271-283. ISSN 0128-7680 English |
| spellingShingle | Camerlengo, Alejandro Livio Ines Demmler, Monica Stability Conditions for an Alternated Grid in Space and Time |
| title | Stability Conditions for an Alternated
Grid in Space and Time |
| title_full | Stability Conditions for an Alternated
Grid in Space and Time |
| title_fullStr | Stability Conditions for an Alternated
Grid in Space and Time |
| title_full_unstemmed | Stability Conditions for an Alternated
Grid in Space and Time |
| title_short | Stability Conditions for an Alternated
Grid in Space and Time |
| title_sort | stability conditions for an alternated
grid in space and time |
| url | http://psasir.upm.edu.my/id/eprint/3858/ http://psasir.upm.edu.my/id/eprint/3858/1/Stability_Conditions_for_an_Alternated.pdf |