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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Universiti Putra Malaysia Press
1995
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/3858/1/Stability_Conditions_for_an_Alternated.pdf http://psasir.upm.edu.my/id/eprint/3858/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Putra Malaysia |
| Language: | English English |
| Summary: | 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. |
|---|