自适应网格技术在数值模式中的应用研究Ⅰ.一维问题

利用变分原理的自适应网格技术被应用到三个有解析解的问题上,它能根据问题的求解,在解的大梯度区自动加密网格,从而非常成功地算出了激波.通过分析发现自适应网格技术在提高精度、减少运行时间方面显示了优良的性能.     

自适应网格技术在数值模式中的应用研究 II.二维问题

用一个具有解析解的二维动力锋生成过程算例,对比自适应网格方案和固定网格方案的优劣,结果表明:同等误差要求下,固定网格方案的网格点数为自适应网格方案的3倍。从时间演化上看,自适应网格对温带气旋的预报,在同等误差要求下,可比固定网格的预报延长10小时以上。文章对加权系数选取及对解的影响进行了分析,从几个切面的计算结果展示了自适应网格对网格的优良安排并能抓住锋面特征结构。文章分析了光滑性、正交性对结果的影响。结果表明:网格的光滑性影响有一个优化值;在网格适当安排情况下,要适度考虑正交性。     

自适应网格与均匀网格在数值模拟中的对比研究

采用自适应网格和均匀网格两种模式，对1996年8月3—4日发生在山西、河北、河南三省交界地区的暴雨个例进行模拟和对比研究。结果表明，自适应网格模式对所关心的天气系统及其降水的模拟精度高于均匀网格，特别是对降水、风场、急流、涡度场的模拟精度改善显著。这说明自适应网格模拟的中尺度系统特征更清晰。     

自适应网格技术在MM5中的应用研究

结合一次暴雨过程，将自适应网格技术应用于中尺度模式MM5中进行数值试验，同时对比自适应网格方案和固定网格方案的优劣，对模拟结果作了诊断分析。结果表明：对于此次降水过程，自适应网格模拟的效果取决于一些参数的选择。     

中尺度数值模式的自适应网格设计

引进了自适应网格设计的方法。自适应网要生成行技术基础变分原理,所生成的网格具有光滑性、一定程度的正交性和机调节网格疏密程度的优点,这种新技术可任意加密局地网格,从而达到以较小的计算量获得较高的计算精度的目的。将自适应网格技术应用于ＭＭ４中,并用来模拟１９２年６月１４日这次大范围暴雨过程。结果表明,采用自适应网格后计算稳定,２４ｈ降水预报得到明显改善。     

自适应网格模式在暴雨数值模拟中的应用

基于变分原理，自适应网格技术能根据数值模式的特点，在模式解梯度大的地区自动加密网格，提高模式的分辨率。将其应用于MM4模式中，采用多重网格法以加速自适应网格的生成。对1996年8月4日至5日发生在华北的特大台风暴雨过程，用自适应网格模式和均匀网格模式进行了数值模拟和动力诊断分析，以研究自适应网格模式在天气预报和模拟应用中的特点。试验表明，采用自适应网格后计算稳定，对所关心的天气系统及其降水的模拟精度均高于均匀网格模式，对形势场、风场的模拟精度也有明显改善。     

基于变分原理的自适应网格技术及其权函数问题研究

利用两个具有解析解的算例研究基于变分原理的自适应网格技术。结果表明,对运动激波算例,权函数考虑二阶导数项比考虑梯度项更能有效地减小误差;对气旋锋生算例,仅以梯度作为权函数亦不能提高精度,考虑速度场、锋生函数分布的权函数能更合理地安排网格;对照解析解,发现提出的自适应网格技术能明显提高计算精度,在节省内存等方面显示了突出的优点。     

中尺度的自适应模式在降雪数值模拟中的应用

在中尺度模式的基础上引进了自适应网格设计的方法，它可以任意加密局地网格，从而达到以较小的计算量获得较高的计算精度的目的。自适应网格技术基于变分原理，能根据数值模式的特点，在物理量梯度大的地方，自动加密网格，提高模式的分辨率。文章将自适应网格技术应用于MM4中，用来模拟2002年3月2～4日华北地区的一场中一大雪过程。结果表踢，采用自适应网格技术后，结果稳定，对所关心的天气系统及其降水的模拟精度与采用均匀网格相比得到踢显改善，温度场和风场预报也有不同程度的提高。     

自适应网格在大气海洋问题中的初步应用

自适应网格法是80年代兴起的通过求解椭圆型方程的边值问题来数值生成网格的一种新方法。它是在任意形状的区域上求偏微分方程的数值解的一种非常有效的工具。该方法抛弃了等距均匀的差分网格，代之以能够自动地适应所研究问题中解的特征的疏密程度不均的曲线网格。如在边界上计算网格与实际边界相重合，在区域内部可任意调节网格点的疏密程度等。本文扼要地介绍了自适应网格的原理及其构造方法。并将其应用于生成南海区域的计算网格以及数值预报台风路径的自适应网格。     

Numerical Simulation Study on the Impacts of Tropospheric and CO_2 Concentration Changes on Winter Wheat. Part I: Model Description

Ozone is well documented as the air pollutant most damaging to agricultural crops and other plants. It is reported that tropospheric O3 concentration increases rapidly in recent 20 years. Evaluating and predicting impacts of ozone concentration changes on crops are drawing great attention in the scientific community. In China, main study method about this filed is controlled experiments, for example, Open Top Chambers. But numerical simulation study about impacts of ozone on crops with crop model was developed slowly, what is more, the study about combined impacts of ozone and carbon dioxide has not been reported. The improved agroecosystem model is presented to evaluate simultaneously impacts of tropospheric O3 and CO2 concentration changes on crops in the paper by integrating algorithms about impacts of ozone on photosynthesis with an existing agroecosystem biogeochemical model (named as DNDC). The main physiological processes of crop growth (phenology, leaf area index, photosynthesis, respiration, assimilated allocation and so on) in the former DNDC are kept. The algorithms about impacts of ozone on photosynthesis and winter wheat leaf are added in the modified DNDC model in order to reveal impacts of ozone and carbon dioxide on growth, development, and yield formation of winter wheat by coupling the simulation about impacts of carbon dioxide on photosynthesis of winter wheat which exists in the former DNDC. In the paper, firstly assimilate allocation algorithms and some genetic parameters (such as daily thermal time of every development stage) were modified in order that DNDC can be applicable in North China. Secondly impacts of ozone on crops were simulated with two different methods- one was impacts of ozone on light use efficiency, and the other was direct effects of ozone on leaves photosynthesis. The latter simulated results are closer to experiment measurements through comparing their simulating results. At last the method of direct impacts of ozone on leaf growth is adopted and the coefficients about impacts of ozone on leaf growth and death are ascertained. Effects of climate changes, increasing ozone, and carbon dioxide concentration on agroecosystem are tried to be simulated numerically in the study which is considered to be advanced and credible.     

基于球面阴阳网格数值计算研究进展

对球面阴阳网格的转换关系、优缺点及边界数据插值交换方法的相关知识进行了较为详细介绍。同时对应用球面阴阳网格的3种数值计算方法进行了回顾总结,包括优化的Schwarz方法、CIP-CSLR平流数值计算方法、多离散矩有限体积法。针对优化的Schwarz方法,从浅水方程组的离散入手,讨论了其在求解球面椭圆型问题的优势;而对CIP-CSLR平流数值计算方法和多离散矩有限体积法,主要从如何在网格单元内构造插值函数的角度对其进行分析。最后对开发全球非静力阴阳网格模式进行展望。     

Numerical Simulation Study on the Impacts of Tropospheric O3 and CO2 Concentration Changes on Winter Wheat.Part I: Model Description

Ozone is well documented as the air pollutant most damaging to agricultural crops and other plants.It is reported that tropospheric O3 concentration increases rapidly in recent 20 years. Evaluating and predicting impacts of ozone concentration changes on crops are drawing great attention in the scientific community. In China, main study method about this filed is controlled experiments, for example, Open Top Chambers. But numerical simulation study about impacts of ozone on crops with crop model was developed slowly, what is more, the study about combined impacts of ozone and carbon dioxide has not been reported.The improved agroecosystem model is presented to evaluate simultaneously impacts of tropospheric O3 and CO2 concentration changes on crops in the paper by integrating algorithms about impacts of ozone on photosynthesis with an existing agroecosystem biogeochemical model (named as DNDC). The main physiological processes of crop growth (phenology, leaf area index, photosynthesis, respiration, assimilated allocation and so on) in the former DNDC are kept. The algorithms about impacts of ozone on photosynthesis and winter wheat leaf are added in the modified DNDC model in order to reveal impacts of ozone and carbon dioxide on growth, development, and yield formation of winter wheat by coupling the simulation about impacts of carbon dioxide on photosynthesis of winter wheat which exists in the former DNDC. In the paper, firstly assimilate allocation algorithms and some genetic parameters (such as daily thermal time of every development stage) were modified in order that DNDC can be applicable in North China. Secondly impacts of ozone on crops were simulated with two different methods-one was impacts of ozone on light use efficiency , and the other was direct effects of ozone on leaves photosynthesis. The latter simulated results are closer to experiment measurements through comparing their simulating results. At last the method of direct impacts of ozone on leaf growth is adopted and the coe cients about impacts of ozone on leaf growth and death are ascertained. Effects of climate changes, increasing ozone, and carbon dioxide concentration on agroecosystem are tried to be simulated numerically in the study which is considered to be advanced and credible.     

A Numerical Study of Sensitivity of the Physical Dissipative Technique to Precipitation Parameterization in a Mesoscale Model

1. IntroductionRecently, the improvement of accuracy in the out-puts of a numerical mesoscale model by the physi-cal dissipative technique is reached (Liu et al., 2002;Liu and Liu, 2003). The effect of improvement ofthis technique differs not only from model to model,but from scheme to scheme of parameterization em-ployed in the same model. The rapid developmentof the computer technology makes possible the com-plicated numerical experiments by a model with highresolution and multiple domains …     

Gerris数值方案及其在海洋数值模拟中的应用

基于动态自适应网格的开源软件Gerris受到越来越多海洋和水文研究者的关注.概述了Gerris开发背景、研究现状和特点,详细阐述了Gerris数值方案,包括动态自适应网格、动态负载平衡技术原理、广义正交曲线坐标系、内嵌复杂固体边界和地形数据的处理方法,并探讨了Gerris在海洋数值模拟中的初步应用.结果表明,Gerris动态自适应网格在多尺度问题模拟中的优势独特,在海洋数值模拟应用中可通过自适应网格提高地理特征的精度,通过GTS(或KDT)格式的数据来处理地形和网格,达到同时兼顾精确性和易用性的目的,使得Gerris与其他海洋模式进行有机结合成为重要发展方向.     

季节内振荡的数值模拟 I. 模拟的自然变率

利用中国科学院大气物理研究所大气科学和地球流体力学数值模拟国家重点实验室(LASG)发展的耦合气候系统模式FGOALS 1.0_g控制试验(二氧化碳浓度保持工业革命前的浓度不变,代表无人类活动影响的自然变率)模拟结果,研究了模拟的自然变率下热带季节内振荡(Intraseasonal Oscillation,简称ISO)的基本特征与年际、年代际变化。研究发现,模拟的自然变率下全球ISO主要活跃区与近六十年的实测结果基本接近;ISO主要活跃区的季节变动特征与实际结果基本一致;全球ISO强度冬强、夏弱的季节变化也与实际结果一致;但模拟的ISO强度偏弱与ISO周期不明显。进一步利用控制试验模拟结果研究了模拟的自然变率下热带ISO特征的年际与年代际变化,得出:第一,模拟的自然变率下的热带ISO强度存在明显的年际与年代际变化,低强度指数阶段,全球ISO强度减弱,活跃区范围缩小,高强度指数阶段则相反;并存在季节性差异,冬季不明显,春秋季明显,实测结果有类似结论,但高、低指数似乎与增暖有关。第二,模拟的自然变率下的热带东传或西传ISO能量比值总体来看基本上维持一种平衡状态,不存在上升或下降趋势;与实际状况下的东传相对能量增强、西传相对能量减弱趋势明显不同。     

一次积层混合云降水实例的数值模拟分析

观测显示,积层混合云有自己独特的动力热力结构,降水过程也有自己的特点,但过去关于积层混合云的实例模拟工作较少.2007年9月28日在我国华北地区发生了一次积层混合云降水过程.利用WRF-ARW中尺度数值模式,对这一个例进行了实例模拟,并结合常规观测、卫星和雷达资料分析模拟结果,表明:此次积层混合云系是降水云系减弱,层状云发展形成的.在降水物理过程中,此次积层混合云不仅具有积云和层云形态混合的特征,还具有冷云过程和暖云过程共存的相态混合的特征;中层的大范围辐合和相应的较均匀上升气流场支撑着层状云,而在均匀上升气流场中的波动导致了对流云镶嵌其中;有迹象表明,条件对称不稳定是维持此次积层混合云发展的动力因子.