What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model?
Single (one-dimensional) and bi-cubic (two-dimensional) splines have been used in numerical weather prediction models since about 1970. Especially the semi-Lagrangian advection schemes have been developed with the help of the spline interpolation method. In this paper the consequent formulation of a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Borntraeger
2000-01-01
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| Series: | Meteorologische Zeitschrift |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1127/metz/8/2000/168 |
| _version_ | 1797320754206867456 |
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| author | Thomas Prenosil H.G. Becker |
| author_facet | Thomas Prenosil H.G. Becker |
| author_sort | Thomas Prenosil |
| collection | DOAJ |
| description | Single (one-dimensional) and bi-cubic (two-dimensional) splines have been used in numerical weather prediction models since about 1970. Especially the semi-Lagrangian advection schemes have been developed with the help of the spline interpolation method. In this paper the consequent formulation of a primitive equation grid point model with bi-cubic splines is investigated. Numerical experiments show that the complete replacement of all horizontal finite difference approximations in the advective and non-advective terms by the associated bi-cubic splines leads to a minor increase of forecast quality, which is accompanied by an inappropriate and uneconomical increase of computing time. With respect to the semi-Lagrangian treatment of the horizontal advection problem, split explicit schemes with single cubic splines produce a slightly reduced forecast quality compared with the more complex bi-cubic splines. Because on the other hand the numerical costs are not raised by the two-dimensional advection method, the use of the physically more reasonable bi-cubic spline interpolation is recommended. |
| first_indexed | 2024-03-08T04:47:33Z |
| format | Article |
| id | doaj.art-440b5e454dcd4703a2e9d47344f9b33b |
| institution | Directory Open Access Journal |
| issn | 0941-2948 |
| language | English |
| last_indexed | 2024-03-08T04:47:33Z |
| publishDate | 2000-01-01 |
| publisher | Borntraeger |
| record_format | Article |
| series | Meteorologische Zeitschrift |
| spelling | doaj.art-440b5e454dcd4703a2e9d47344f9b33b2024-02-08T08:19:59ZengBorntraegerMeteorologische Zeitschrift0941-29482000-01-018616817710.1127/metz/8/2000/16888835What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model?Thomas PrenosilH.G. BeckerSingle (one-dimensional) and bi-cubic (two-dimensional) splines have been used in numerical weather prediction models since about 1970. Especially the semi-Lagrangian advection schemes have been developed with the help of the spline interpolation method. In this paper the consequent formulation of a primitive equation grid point model with bi-cubic splines is investigated. Numerical experiments show that the complete replacement of all horizontal finite difference approximations in the advective and non-advective terms by the associated bi-cubic splines leads to a minor increase of forecast quality, which is accompanied by an inappropriate and uneconomical increase of computing time. With respect to the semi-Lagrangian treatment of the horizontal advection problem, split explicit schemes with single cubic splines produce a slightly reduced forecast quality compared with the more complex bi-cubic splines. Because on the other hand the numerical costs are not raised by the two-dimensional advection method, the use of the physically more reasonable bi-cubic spline interpolation is recommended.http://dx.doi.org/10.1127/metz/8/2000/168splinessemi-lagrangian treatmentadvectionsemi-lagrange'sche advektionsschemata |
| spellingShingle | Thomas Prenosil H.G. Becker What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model? Meteorologische Zeitschrift splines semi-lagrangian treatment advection semi-lagrange'sche advektionsschemata |
| title | What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model? |
| title_full | What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model? |
| title_fullStr | What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model? |
| title_full_unstemmed | What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model? |
| title_short | What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model? |
| title_sort | what are the limits of efficiency for the application of bi cubic splines in a regional weather prediction grid point model |
| topic | splines semi-lagrangian treatment advection semi-lagrange'sche advektionsschemata |
| url | http://dx.doi.org/10.1127/metz/8/2000/168 |
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