| 三维重力波非线性传播数值模型的一种求解格式 |
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| 引用本文： | 岳显昌, 易帆. 三维重力波非线性传播数值模型的一种求解格式[J]. 空间科学学报, 2001, 21(2): 148-158. |
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| 作者姓名： | 岳显昌 易帆 |
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| 作者单位： | 武汉大学无线电科学技术系 430072 |
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| 基金项目： | 国家自然科学基金重大项目!（49990450），国家杰出青年基金!（49625407） |
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| 摘 要： | 采用交替方向隐格式(ADI)求解三维可压大气中重力波非线性传播的数值模型.经过几个波周期后,重力波波包仍然沿着线性理论射线方向稳定地传播,波包保持着很好的形状,内点和边界保持稳定;水平风与垂直运动的振幅随着传播高度的增加而增加.这说明ADI格式是模拟三维可压大气中重力波传播的一种可靠的格式.模拟结果也表明,在非线性情况下,重力波仍可保持线性传播的某些特征,非线性效应主要表现在对波包传播速度的修正.
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| 关 键 词： | 重力波 非线性效应 交替方向隐格式（ADI） |
| 收稿时间： | 2000-10-19 |
| 修稿时间： | 2000-10-19 |
A STUDY OF NONLINEAR PROPAGATION OF 3D GRAVITY-WAVE MCKETS IN A COMPRESSIBLE ATMOSPHERE BY USING ADI SCHEME |
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| YUE Xianchang, YI Fan. A STUDY OF NONLINEAR PROPAGATION OF 3D GRAVITY-WAVE MCKETS IN A COMPRESSIBLE ATMOSPHERE BY USING ADI SCHEME[J]. Chinese Journal of Space Science, 2001, 21(2): 148-158. |
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| Authors: | YUE Xianchang YI Fan |
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| Affiliation: | Department of Radio Science and Technology, Wuhan University, 430072 |
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| Abstract: | By using an Alternative- Direction- Implicit (ADI) scheme, a numerical model for nonlinear propagation of gravity-wave packets in a three-dimensional compressible atmosphere is solved. Results of numerical simulation show that after several periods, the gravity-wave packets propagate steadily upward and keep its shape well. The interior points and boundaries of the calculating region are stable. During the propagation the amplitude of wave-associated perturbation velocities increase with the increasing height. This shows that ADI scheme is reliable for simulating the nonlinear propagation of gravity-wave packets in a three-dimensional compressible atmosphere. From the results, It's also found that under nonlinear condition, a gravity wave packet is still able to keep some characterizations as under linear propagation. The nonlinear effect mainly impacts the propagation velocity of gravity-wave packets. |
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| Keywords: | Gravity-wave Nonlinear effect Alternative Direction Implicit (ADI) |
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