dorsal/arxiv
View SchemaOn the Use of a Wider Class of Linear Systems for the Design of Constant-Coefficients Semi-Implicit Time-Schemes in NWP
| Authors | Pierre Benard |
|---|---|
| Categories | |
| ArXiv ID | physics/0311124 |
| URL | https://arxiv.org/abs/physics/0311124 |
| DOI | 10.1175/1520-0493(2004)132<1319:OTUOAW>2.0.CO;2 |
Abstract
The linearization of the meteorological equations around a specified reference state, usually applied in NWP to define the linear system of constant-coefficients semi-implicit schemes, is outlined as an unnecessarily restrictive approach which may be detrimental in terms of stability. It is shown theoretically that an increased robustness can sometimes be obtained by choosing the reference linear system in a wider set of possibilities. The potential benefits of this new approach are illustrated in two simple examples. The advantage in robustness is not obtained at the price of an increased error or complexity.
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"abstract": "The linearization of the meteorological equations around a specified\nreference state, usually applied in NWP to define the linear system of\nconstant-coefficients semi-implicit schemes, is outlined as an unnecessarily\nrestrictive approach which may be detrimental in terms of stability. It is\nshown theoretically that an increased robustness can sometimes be obtained by\nchoosing the reference linear system in a wider set of possibilities. The\npotential benefits of this new approach are illustrated in two simple examples.\nThe advantage in robustness is not obtained at the price of an increased error\nor complexity.",
"arxiv_id": "physics/0311124",
"authors": [
"Pierre Benard"
],
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"physics.ao-ph"
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"doi": "10.1175/1520-0493(2004)132\u003c1319:OTUOAW\u003e2.0.CO;2",
"title": "On the Use of a Wider Class of Linear Systems for the Design of Constant-Coefficients Semi-Implicit Time-Schemes in NWP",
"url": "https://arxiv.org/abs/physics/0311124"
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