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| A quasi-geostrophic wavelet-spectrum model for barotropic atmosphere and its numerical solution | |
| 作者姓名： | DAI Xingang WANG Ping CHOU Jifan |
| 作者单位： | Key Laboratory of Regional Climate-Environment for Temperate East Asia, Institute of Atmospheric Physics, Chinese Academy of Sciences, START Regional Center for Temperate East Asia, Beijing 100029, China;Department of Atmospheric Sciences, Lanzhou University,Lanzhou 730000,China,College of Physics, Peking University, Beijing 100871, China,Department of Atmospheric Sciences, Lanzhou University,Lanzhou 730000,China |
| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划(973计划) |
| 摘 要： | A quasi-geostrophic wavelet-spectrum model of barotropic atmosphere has been constructed by wavelet-Galerkin method with the periodic orthogonal wavelet bases. In this study a wavelet grid-spectrum transform method is designed to decrease the tremendous computation of the nonlinear interaction term in the model, and a two-dimensional Helmholtz equation from the model in a wavelet spectrum form is derived, and a solution with high precision under the periodic boundary condition is obtained. The numerical investigation manifests that the wavelet-spectrum model (WSM) could keep on running for a long time under the forcing of heating and topography. Although its numerical solution is compatible with the grid model (GM), the WSM is of a higher precision and faster convergence rate than GM's. A stationary solution comes forth when the model is forced only by the surface heating, whereas a quasi-periodic oscillation with a period about 15 days appears as considering the topography in the model. The latter oscillation, to some extent, is very similar to the Rossby index cycle of atmosphere over middle and high latitudes. |
| 关 键 词： | β-plane |
A quasi-geostrophic wavelet-spectrum model for barotropic atmosphere and its numerical solution |
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| DAI Xingang,WANG Ping,CHOU Jifan.A quasi-geostrophic wavelet-spectrum model for barotropic atmosphere and its numerical solution[J].Progress in Natural Science,2004,14(11):984-990. | |
| Authors: | DAI Xingang WANG Ping CHOU Jifan |
| Institution: | 1. Key Laboratory of Regional Climate-Environment for Temperate East Asia, Institute of Atmospheric Physics, Chinese Academy of Sciences, START Regional Center for Temperate East Asia, Beijing 100029, China;Department of Atmospheric Sciences, Lanzhou Univers 2. College of Physics, Peking University, Beijing 100871, China 3. Department of Atmospheric Sciences, Lanzhou University,Lanzhou 730000,China |
| Abstract: | A quasi-geostrophic wavelet-spectrum model of barotropic atmosphere has been constructed by wavelet-Galerkin method with the periodic orthogonal wavelet bases. In this study a wavelet grid-spectrum transform method is designed to decrease the tremendous computation of the nonlinear interaction term in the model, and a two-dimensional Helmholtz equation from the model in a wavelet spectrum form is derived, and a solution with high precision under the periodic boundary condition is obtained. The numerical investigation manifests that the wavelet-spectrum model (WSM) could keep on running for a long time under the forcing of heating and topography. Although its numerical solution is compatible with the grid model (GM), the WSM is of a higher precision and faster convergence rate than GM's. A stationary solution comes forth when the model is forced only by the surface heating, whereas a quasi-periodic oscillation with a period about 15 days appears as considering the topography in the model. The latter oscillation, to some extent, is very similar to the Rossby index cycle of atmosphere over middle and high latitudes. |
| Keywords: | barotropic atmosphere wavelet-spectrum model wavelet grid-spectrum transform |
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