利用线性浅水波方程进行嵌套试验，对比分析了单、双向嵌套在不同边界条件下对虚假计算反射波的抑制作用，以及多重嵌套后各嵌套区域之间相互影响等问题。结果发现，双向嵌套在抑制虚假计算反射波方面要优越于单向嵌套，虽然对于短波双向嵌套表现较差，但可使用滤波海绵边界条件加以克服。由于采用双向嵌套，嵌套的子区域内产生的虚假计算反射波会同时被反馈到其母区域中而扭曲了粗网格的波动，因此在使用双向嵌套时需要很好的控制虚假计算反射波。最后通过个例模拟，对比了单向嵌套与双向嵌套的模拟结果，验证了双向嵌套的优点。
Although nested grids are extensively used in numerical modeling of the atmosphere for a wide range of applications, theoretical analyses of grid nesting were hardly seen and researches on grid nesting were mostly centered on the comparisonof results of real case simulation using different nesting methods. This paper presents results from a grid nesting experiment using the linear shallow water equations to compare the ability of controlling the fake wave reflections of one-way nesting and two-way nesting under different boundary conditions, and also analysesthe interactive impact of multi-nesting areas. Two-way nesting was found to be generally superior to one-way nesting in the capacity of controlling the fake wave reflections, although it's bad performance on shorter wave can be overcomeusing the filtered sponged boundary conditions. Because of the fake wave disturbances of children nesting areas can be feedback to the parent domain when using two-way nesting, we must have a good control of the fake wave disturbances. Also, this paper presents a comparison of one-way and two-way nesting using WRF mesoscale model which shows the superiority of two-way nesting.
[1]陈德辉, 薛志善. 数值天气预报业务模式的发展现状与未来展望[J]. 气象学报, 2004, 62(5):623-633.
[2]陈德辉, 薛纪善, 杨学胜, 等. GRAPES新一代全球区域多尺度统一数值预报模式总体设计研究[J]. 科学通报, 2008, 53(20):2408-2417.
[3]陈德辉, 沈学顺. 新一代数值预报系统GRAPES研究进展[J]. 应用气象学报, 2006, 17(6):773-777.
[4]符二选, 颜宏. 单向影响嵌套侧边界处理技术的研究(三) 模式自嵌套的初步试验结果[J]. 高原气象, 1987, 6(2):215-224.
[5]颜宏. 复杂地形条件下嵌套细网格模式的设计(一)数值模式的基本原理[J]. 高原气象, 1987, 6(2):1-63
[6]Phillips N, Shukla J.On the strategy of combining coarse and fine grid meshes in numerical weather prediction[J]. J Appl Meteor, 1973, 12:763-770.
[7]Sundstorm A, Elvius T. Computationalproblems related to limited area modeling. Numerical models used in atmospheric models[J]. GARP Publications Series, 1979, 17:379-416.
[8]Vichnevetsky R. Propagation through numerical mesh refinement for hyperbolic equations[J]. Math Comput Simul, 1981, 23:344-353.
[9]Zhang Dalin, Chang Hairu, Nelson L S, et al. A two-way nesting with variable terrain resolution[J]. Mon Wea Rev, 1986, 114:1330-1339.
[10]Steven E K, Jeffery T M. A survey of nested grid techniques and their potential for use within the MASS weather prediction model[R]. NASA Technical Memorandum 87808, 1987.
[11]李丁民, 颜宏, 张振国. 单向影响嵌套侧边界处理技术的研究(二) 不同方案的对比试验分析[J]. 高原气象, 1987, 6(2):205-214.
[12]Warner T, Peterson R, Treadon R. A tutorial on lateral boundary conditions as a basic and potentially serious limitation to regional numerical weather prediction[J]. Bull Amer Meteor Soc, 1997, 78:2599-2617.
[13]Lucas M H, Dale R D. An ideal comparison of one-way and two-way grid nesting[J]. Mon Wea Rev, 2010, 138:2174-2187.
[14]Moeng C, Dudhia J, Klemp J, et al.Examining two-way grid nesting for large eddy simulation of the PBL using the WRF model[J]. Mon Wea Rev, 2007, 135:2295-2311.
[15]沈桐立, 闵锦忠, 温市耕. 套网格预报中几种边界条件的试验[J]. 南京气象学院学报, 1995, 18(2):248-254.
[16]Carpenter K. Radiation conditions for lateral boundaries of limited area numerical models[J]. Quart J Roy Meteor Soc, 1982, 110:717-719.
[17]Mass C, Ovens D, Westrick K, et al. Does increasing horizontal resolution produce more skillful forecasts?[J]. Bull Amer Meteor Soc, 2002, 83:407-430.
[18]Krol M, Houweling S, Bregman B, et al. The two-way nested global chemistry-transport zoom model TM5:algorim and applications[J]. Atmos Chem Phys, 2005, 5:417-432.
[19]郑永骏, 金之雁, 陈德辉. 半隐式半拉格朗日动力框架的动能谱分析[J]. 气象学报, 2008, 66(2):143-157.
[20]赵大军, 江玉华, 李莹. 一次西南低涡暴雨过程的诊断分析与数值模拟[J]. 高原气象, 2011, 30(5):1158-1169.
[21]何由, 阳坤, 姚檀栋, 等. 基于WRF模式对青藏高原一次强降水的模拟[J]. 高原气象, 2012, 31(5):1183-1191.
[22]赵玉春, 许小峰, 崔春光. 中尺度地形对梅雨锋暴雨影响的个例研究[J]. 高原气象, 2012, 31(5):1268-1282.
[23]姜学恭, 李夏子, 李彰俊, 等. 一次阻塞型华北对流性暴雨过程的诊断分析和数值模拟[J]. 高原气象, 2012, 31(5):1283-1293.
[24]程相坤, 杨慧玲, 李红斌, 等. 一次强单体雹暴结构和成雹机制的数值模拟研究[J]. 高原气象, 2012, 31(3):836-846.
[25]李燕, 刘新, 李伟平. 青藏高原地区不同下垫面路面过程的数值模拟研究[J]. 高原气象, 2012, 31(3):581-591.
