Limited-Area Forecasting Model Based on Semi-Lagrangian Semi-Implicit Scheme Leading to Solving the Separable Elliptic Equations
A significant number of atmospheric models use a semi-implicit algorithm in order to carry out the time integration. In the semi-implicit scheme, the size of the time step is no longer restricted by the phase speed of external gravity waves; it is limited mainly by the magnitude of the wind associat...
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| Published in: | Studia geophysica et geodaetica Vol. 48; no. 4; pp. 811 - 828 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Springer Nature B.V
01.10.2004
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| ISSN: | 0039-3169, 1573-1626 |
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| Abstract | A significant number of atmospheric models use a semi-implicit algorithm in order to carry out the time integration. In the semi-implicit scheme, the size of the time step is no longer restricted by the phase speed of external gravity waves; it is limited mainly by the magnitude of the wind associated with advection. Combining a semi-Lagrangian scheme with the semi-implicit technique introduces the possibility of integrating atmospheric models using relatively large time steps. In this paper, the semi-implicit algorithm in association with the semi-Lagrangian technique is presented. To solve the equations of semi-implicit schema we have used method of dimension reduction which reduces the three-dimensional problem to two-dimensional problems. The original contribution of this way is that semi-implicit approximation leads to the solution of two-dimensional separable partial differential equations. A detailed description is given and the model is tested by using the Lambert projection and the initial data provided by the ARPEGE model. The results are very satisfactory. |
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| AbstractList | A significant number of atmospheric models use a semi-implicit algorithm in order to carry out the time integration. In the semi-implicit scheme, the size of the time step is no longer restricted by the phase speed of external gravity waves; it is limited mainly by the magnitude of the wind associated with advection. Combining a semi-Lagrangian scheme with the semi-implicit technique introduces the possibility of integrating atmospheric models using relatively large time steps. In this paper, the semi-implicit algorithm in association with the semi-Lagrangian technique is presented. To solve the equations of semi-implicit schema we have used method of dimension reduction which reduces the three-dimensional problem to two-dimensional problems. The original contribution of this way is that semi-implicit approximation leads to the solution of two-dimensional separable partial differential equations. A detailed description is given and the model is tested by using the Lambert projection and the initial data provided by the ARPEGE model. The results are very satisfactory. A significant number of atmospheric models use a semi-implicit algorithm in order to carry out the time integration. In the semi-implicit scheme, the size of the time step is no longer restricted by the phase speed of external gravity waves; it is limited mainly by the magnitude of the wind associated with advection. Combining a semi-Lagrangian scheme with the semi-implicit technique introduces the possibility of integrating atmospheric models using relatively large time steps. In this paper, the semi-implicit algorithm in association with the semi-Lagrangian technique is presented. To solve the equations of semi-implicit schema we have used method of dimension reduction which reduces the three-dimensional problem to two-dimensional problems. The original contribution of this way is that semi-implicit approximation leads to the solution of two-dimensional separable partial differential equations. A detailed description is given and the model is tested by using the Lambert projection and the initial data provided by the ARPEGE model. The results are very satisfactory.[PUBLICATION ABSTRACT] |
| Author | Nam, T.T. Baťka, M. |
| Author_xml | – sequence: 1 givenname: M. surname: Baťka fullname: Baťka, M. – sequence: 2 givenname: T.T. surname: Nam fullname: Nam, T.T. |
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| DOI | 10.1023/B:SGEG.0000045485.54003.32 |
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| SubjectTerms | Advection Algorithms Approximation Atmospheric models Differential equations Elliptic functions Forecasting models Gravity waves Mathematical models Modelling Partial differential equations Phase velocity Time integration |
| Title | Limited-Area Forecasting Model Based on Semi-Lagrangian Semi-Implicit Scheme Leading to Solving the Separable Elliptic Equations |
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