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首页> 外文期刊>Pure and Applied Geophysics >Correct Boundary Conditions for the High-Resolution Model of Nonlinear Acoustic-Gravity Waves Forced by Atmospheric Pressure Variations
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Correct Boundary Conditions for the High-Resolution Model of Nonlinear Acoustic-Gravity Waves Forced by Atmospheric Pressure Variations

机译：大气压变化强制的非线性声学 - 重力波的高分辨率模型的正确边界条件

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摘要

Currently, an international network of operating high-resolution microbarographs was established to record wave-induced pressure variations at the Earth's surface. Based on these measurements, simulations are performed to analyze the characteristics of waves corresponding to the observed variations of atmospheric pressure. Such a mathematical problem involves a set of primitive nonlinear hydrodynamic equations considering lower boundary conditions in the form of pressure variations at the Earth's surface. Selection of upward propagating acoustic-gravity waves (AGWs) generated or reflected at the Earth's surface requires the Neumann boundary conditions involving the vertical gradients of vertical velocity at the lower boundary. To analyze the correctness of the mathematical problem, linearized equations are used for small-surface wave amplitudes excited near the ground. Using the relation for wave energy, it is proven that the solution of the boundary problem based on the nondissipative approximation is uniquely determined by the variable pressure field at the Earth's surface. The respective dissipative problem has also a unique solution with the appropriate choice of lower boundary conditions for temperature and velocity components. To test the numerical algorithm, solutions of the linearized equations for AGW modes are used. Developed boundary conditions are implemented into the model describing acoustic-gravity wave propagation from the surface atmospheric pressure source. Atmospheric waves propagating from the observed surface pressure variations to the upper atmosphere are simulated using the obtained algorithms and the computer codes.
机译：目前，建立了一个经营高分辨率微观传感网络的国际网络，以记录地球表面的波引起的压力变化。基于这些测量，进行模拟以分析与观察到的大气压变化相对应的波的特性。这种数学问题涉及一组原始非线性流体动力方程，考虑到地球表面的压力变化形式的下边界条件。在地球表面产生或反射的向上传播的声学 - 重力波（AGWs）需要涉及下边界处的垂直速度的垂直梯度的Neumann边界条件。为了分析数学问题的正确性，线性化方程用于在地面附近激发的小表面波幅度。使用波能的关系，证明基于Nondissipative近似的边界问题的解决方案由地球表面处的可变压力场唯一确定。 The respective dissipative problem has also a unique solution with the appropriate choice of lower boundary conditions for temperature and velocity components.为了测试数值算法，使用了用于AGW模式的线性化方程的解。开发的边界条件被实现为描述从表面大气压源的声学 - 重力波传播的模型。使用所获得的算法和计算机代码模拟从观察到的表面压力变化传播到上层大气的大气波。

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