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1.
Xiaohua Yang 《Boundary-Layer Meteorology》1991,54(1-2):183-208
Nonhydrostatic effects in two-dimensional mesoscale sea breeze systems are investigated by numerical simulations. It is shown that nonhydrostatic effects are directly contributed by the vertical gradients of the vertical velocity variance as well as by the vertical accelerations. It is also shown that a K-type turbulence closure is not suitable in a nonhydrostatic primitive equation model, and a higher-order closure scheme should therefore be used. Results from hydrostatic and fully-nonhydrostatic models are compared for various surface and atmospheric background conditions, such as scale and strength of surface heating, geostrophic wind, stability, surface roughness contrast, Coriolis effect, etc. It is found that for strongly developed sea breeze cases, vertical gradients of vertical velocity variance contribute most to nonhydrostatic forcing in the lower layers, and that the resultant nonhydrostatic pressure gradient acts against the hydrostatic pressure gradient, so that nonhydrostatic simulations produce weaker systems than hydrostatic ones. For weak sea breeze systems, the difference between the two models tends to be small. 相似文献
2.
Modeling nonhydrostatic atmospheric flow requires the solution of the vertical equation of motion and a prognostic or diagnostic equation for pressure. If the nonhydrostatic components of the flow are relatively small, they can be approximated and incorporated into a purely hydrostatic model, which usually is conceptually simpler and computationally more efficient. A method to do this for a linear model of local thermally-induced circulations is further developed and adapted to a non-linear numerical model of the neutral atmospheric boundary layer. A hydrostatic model and the quasi-nonhydrostatic version were used to simulate neutral flow over simple terrain features. One set of observations taken over a simple change in roughness and another set taken over a change in both roughness and terrain were simulated by both models to assess the capabilities of the quasi-nonhydrostatic technique.It is found that (as expected) the pressure deviation from the hydrostatic state is negligible for the roughness change, but it is an important aspect of neutral flow over terrain. Thus, for flow encountering a simple roughness change, the hydrostatic approximation is good, even for small horizontal scales. However, the quasi-nonhydrostatic model qualitatively produces the features in the observations for flow over a terrain change that the hydrostatic model cannot produce.Journal Paper No. J-12737 of the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa. Project No. 2779. 相似文献
3.
Z. Jaňour 《Boundary-Layer Meteorology》1975,9(1):3-10
The wavy area of north-west Bohemia (Czechoslovakia) is simulated by a cylindrical surface model. A curvilinear orthogonal system of coordinates along the model surface is introduced. The hydrodynamical equations of motion are transformed into this system of coordinates. By applying boundary-layer assumptions, the equations of motion for the atmospheric boundary layer (ABL) above the model are derived. The equations and boundary conditions show an equivalence of the ABL above the model with that above a flat surface with external pressure gradient. 相似文献
4.
With the development of numerical weather prediction technology,the traditional global hydrostatic models used in many countries of the world for operational weather forecasting and numerical simulations of general circulation have become more and more unfit for high-impact weather prediction.To address this,it is important to invest in the development of global nonhydrostatic models.Few existing nonhydrostatic global models use consistently the grid finite difference scheme for the primitive equations of dynamical cores,which can subsequently degrade the accuracy of the calculations.A new nonhydrostatic global spectral model,which utilizes the Eulerian spectral method,is developed here from NCAR Community Atmosphere Model 3.0(CAM3.0).Using Janjic's hydrostatic/nonhydrostatic method,a global nonhydrostatic spectral method for the primitive equations has been formulated and developed.In order to retain the integrity of the nonhydrostatic equations,the atmospheric curvature correction and eccentricity correction are considered. In this paper,the Held-Suarez idealized test and an idealized baroclinic wave test are first carried out,which shows that the nonhydrostatic global spectral model has similar climate states to the results of many other global models for long-term idealized integration,as well as better simulation ability for short-term idealized integration.Then,a real case experiment is conducted using the new dynamical core with the full physical parameterizations of subgrid-scale physical processes.The 10-day numerical integration indicates a decrease in systematic error and a better simulation of zonal wind,temperature,and 500-hPa height. 相似文献
5.
There are two important features in geophysical fluid dynamics. One is that the atmospheric and oceanic equa-tions of motion include the Coriolis force; another is that they describe a stratified fluid. The hydrostatic extraction scheme, or standard stratification approximation, posed by Zeng (1979), reflects the second aspect of geophysical flu-id dynamics. There exist two major advantages in this scheme; accurate computation of the pressure gradient force can be obtained over steep mountain slopes, and the accumulation error in vertical finite differencing can be reduced, especially near the tropopause.Chen et al (1987) introduced the hydrostatic extraction scheme into a global spectral model, which attained pre-liminary success at low resolution. Zhang and Sheng et al (1990) developed and improved the hydrostatic extraction scheme in a global spectral model, in which C0, the parameter that represents the stratification of the reference at-mosphere, changes not only with height, but also with latitude. The scheme has been incorporated BMRC’s global spectral model (IAPB). Four 5-day forecasts have been performed to test the IAPB with the hydrostatic extraction scheme. Objective verifications demonstrate a positive effect of the hydrostatic extration scheme on BMRC’s model, particularly at upper levels, over the tropics and the Antartic region. 相似文献
6.
Abstract Traditional semi‐implicit formulations of nonhydrostatic compressible models may not be stable in the presence of steep terrain when pressure gradient terms are split and lagged in time. If all pressure gradient terms and the divergence are treated implicitly, the resulting wave equation for the pressure contains off‐diagonal cross‐derivative terms leading to a highly nonsymmetric linear system of equations. In this paper we present a more implicit formulation of the Mesoscale Compressible Community (MC2) model employing a Generalized Minimal Residual (GMRES) Krylov iterative solver and a more efficient semi‐Lagrangian advection scheme. Open boundaries now permit exact upwind interpolation and the ability to reproduce simulations to machine precision is illustrated for one‐way nesting at equivalent resolution. Numerical simulations of hydrostatic and nonhydrostatic mountain waves demonstrate the stability and accuracy of the new adiabatic kernel. The computational efficiency of the model is reported for 1D Jacobi and 3D Alternating Direction Implicit (ADI) line relaxation preconditioned implemented with a parallel data transposition strategy. 相似文献
7.
给出了在旋转坐标系中考虑重力加速度g的空间变化的大气控制方程组,并证明了大气总质量和总能量的守恒性,以及和取常值g时得到的结果相一致的动、位能和动、内能之间的转换关系.还讨论了在球坐标系中应用方程组时可能出现的困难,给出了在高度近似下在该系中考虑g的空间变化的方案,它可以用来建立完全弹性的非静力模式. 相似文献
8.
Xiaohua Yang 《Boundary-Layer Meteorology》1993,65(4):401-424
This paper describes a nonhydrostatic and incompressible mesoscale model formulation using a terrain-following coordinate system. A tensor transformation procedure is used to derive a diagnostic equation for the nonhydrostatic pressure field. The model features a simplified second-order turbulence closure scheme. The two-dimensional version of the nonhydrostatic model, as well as the corresponding hydrostatic model, are applied to simulate stably stratified airflow over mesoscale bell-shaped mountain ridges. The results show that the nonhydrostatic model is capable of simulating nonhydrostatic dynamics of mesoscale lee wave systems such as the trapped wave phenomenon. 相似文献
9.
Four procedures of specifying model initial temperature were described and tested in the present study. It was found that the use of observed temperatures along with a proper vertical interpolation scheme was not only acceptable, but produced less error than the use of temperatures derived from geopotential height through the hydrostatic equation did. Use of the difference form of the hydrostatic equation would produce unacceptable errors in the initial temperatures, unrealistic horizontal and vertical distribution of temperature, and these errors would influence the calculation of the pressure gradient force, resulting in substantial, artificial disturbances within the model domain.In addition, an approach to check the initial data was described. Taking advantage of the fact that the geostrophic wind in sigma coordinates should be nondivergent, geopotential height and temperature were used to calculate the pressure gradient force terms and an initial divergence of the geostrophic wind. This approach can he used for comparing different initialization schemes for identical input data. 相似文献
10.
Starting from the anelastic equations describing deep convection in cylindrical coordinates, the WKBJ method is used to discuss the stability of asymmetric three-dimensional inhomogeneous vortex under the conditions of nonhydrostatic and non-equilibrium gradient wind. From the equation of wave action, the development of disturbance is qualitatively analyzed. 相似文献
11.
建立了一个二维非静力平衡模式，通过坐标变换的方法使得模式低层有较高的分辨率。对重力流的模拟结果显示；本模式模拟出的重力流冷锋主要特征，如抬高的头部、头部较强的上升运动以及等位温线密集带与实际大气观测很一致。此外，模式还成功地模拟出了重力流头部后面底层的高速潜流层。应用模拟结果与理论结果对重力流的移动速度进行了对比分析。当考虑地形时，重力流在山前受阻，其头部比不考虑地形时高，且产生了向上游传播的“涌浪”；重力流过山后其头部降低，位温梯度减弱，头部后面的水平速度减小。此外，还对非静力平衡与静力平衡条件下重力流的差异进行了分析讨论。 相似文献
12.
地形追随坐标系下的动力学方程组通常都要引入参考大气的概念来减少气压梯度力的计算误差.参考大气的一般取法是满足静止和静力平衡关系,实际大气被看成在参考大气上的偏差.实际大气与参考大气越接近,它们之间的偏差就越小,计算就越精确.参考大气的取法一般有等温大气、定常温度廓线、初始资料进行水平平均的垂直温度廓线等.本文在一个非静力的中尺度模式中选取经过水平平均的初始温度场的垂直廓线构造模式的参考大气廓线.但是初始资料在三维空间是离散的,这里根据三次样条函数的分段连续光滑的性质,构造了随起报时间不同而不同的,只随高度变化的解析形式的参考大气廓线.构造的参考大气廓线完全满足静力平衡关系,方程中的静力平衡部分可以得到最大限度地扣除.试验表明,与等温大气相比,这种根据初始状态选取的参考大气和实际资料更接近,在大地形附近气压梯度力的计算误差更小,500 hPa高原附近的24 h气压预报更精确. 相似文献
13.
A nonhydrostatic model based on a new approach 总被引：4，自引：0，他引：4
Z. I. Janjic 《Meteorology and Atmospheric Physics》2003,82(1-4):271-285
Summary ?The nonhydrostatic Meso model developed at NCEP (Janjic et al, 2001) is based on a new approach. Namely, a hydrostatic NWP
model using mass based vertical coordinate has been extended to include the nonhydrostatic motions. In this way favorable
features of the hydrostatic formulation have been preserved. This procedure did not require any linearization or approximation.
The nonhydrostatic dynamics has been introduced through an add-on module. The nonhydrostatic module can be turned on and off,
so that easy comparison can be made of hydrostatic and nonhydrostatic solutions.
Here, the basic philosophy behind the discretization methods applied in the model, and not covered by Janjic et al (2001),
is discussed, and the latest developments are reviewed. The forecast examples shown indicate that significant differences
between hydrostatic and nonhydrostatic forecasts may develop even at relatively coarse resolution of 8 km. Possible future
developments are considered.
Received May 7, 2001; revised October 15, 2001 相似文献
14.
针对2021年6月15～17日发生在昆仑山脉北坡的南疆极端暴雨过程,本文综合考虑地形对暴雨发生、发展的作用后,利用地形追随坐标控制方程并采用Boussinesq近似推导建立了地形追随坐标的非静力平衡广义垂直运动方程。诊断结果表明,经向气压梯度力耦合经向散度项（项一）、垂直气压梯度力耦合纬向散度项（项二）和非绝热加热经向梯度项（项三）是激发暴雨垂直运动发展演变的三个主要强迫项。项一体现了偏北风逐渐增强,在昆仑山脉的阻挡下导致经向辐合增强,触发了垂直上升运动。经向气流辐合始终是对流活动最主要的强迫过程,其次为纬向气流辐合。在地形追随坐标形式下,经向和垂直气压梯度能够增强项一和项二。对流发展阶段,水汽辐合与非绝热加热过程增强了非绝热加热经向梯度,促进了垂直上升运动发展。在地形的影响下,对流层中高层西风过山气流波动特征明显。重力波活动导致的高层辐散进一步促进了山脉迎风坡对流活动。经向和纬向气流辐合、非绝热加热过程以及重力波活动等多个因素共同造成了此次南疆极端暴雨。 相似文献
15.
Mr. Qi Hu Prof. E. R. Reiter Prof. R. A. Pielke 《Meteorology and Atmospheric Physics》1988,39(3-4):184-196
Summary In this paper, analytic solutions of the nonhydrostatic and hydrostatic forms of Long's model were obtained under two different sets of vertical boundary conditions: The first uses a sumusoidal obstacle at the lower boundary and a rigid-lid top for the upper boundary. The second set applies an isolated obstacle of the Witch of Agnesi type at the lower boundary, while still using a rigid lid at the top. Following the solution evaluations, comparisons between the nonhydrostatic and hydrostatic solutions were processed in order to describe several influences introduced by using the hydrostatic assumption in this model.Through comparisons we have found that, in the case of a sinusoidal lower boundary condition, the hydrostatic solution is obtained as the zero mode of the nonhydrostatic solution. The influence of the hydrostatic assumption on the model solution is trivial in this case. When an isolated lower boundary condition is applied, however, the solutions illustrate dramatic differences, showing the significance of the effect of hydrostatic assumption on this model's solutions. These effects vary considerably with the model parameters as well. The comparison results also reveal that the realization of the hydrostatic assumption in this model's solutions is accomplished through the vertical boundary conditions used in the model evaluations.With 5 Figures 相似文献
16.
A parameterization of the nonhydrostatic pressure was modified and adapted to a nonlinear numerical model of the neutral atmospheric boundary layer. A hydrostatic model and the quasinonhydrostatic version were used to simulate neutral flow over a symmetrical hill of uniform roughness. Mean-flow quantities and some turbulence characteristics of the flow from both models are presented. These results were compared with observations, analytic theory, and other numerical models.The quasi-nonhydrostatic method produced qualitative features commonly observed in such flows that the hydrostatic model could not simulate. For instance, the observed velocity reduction at the hill base and the speedup at the summit both were simulated by the quasi-nonhydrostatic model. However, computation of vertical velocities from the incompressible continuity equation is inadequate above regions of recirculation and presents a limitation to the method.Journal Paper No. J-12741 of the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa. Project No. 2779. 相似文献
17.
A closed system of equations describing an asymmetric disturbance in cylindrical geometry is expanded about a small parameter. The small parameter describes the ratio of the magnitude of divergence in the boundary layer to that above that layer. A low order system describes a gradient wind balance in the radial direction and is quasi-symmetric with respect to the pressure and temperature fields. This system can be solved as an inverse problem for a mature steady state hurricane. The procedure entails asking the questions what structure and heating distributions are required to maintain a given asymmetric distribution of the tangential velocity (i. e. the angular momentum) in steady state. The method of characteristics enables us to solve for the vertical motion. That in turn determines the radial motion from the mass continuity equation. Application of the hydrostatics to the cylindrical thermal wind equation determines the pressure and the thermal fields and finally the required heating fields are deduced from the first law. This entire system of inverse dynamics is linear although no nonlinear terms are dropped from the original direct set of equations. The real data applications of this procedure will be described in part II (to be published in the next issue). 相似文献
18.
在尺度分析的基础上,利用大气垂直运动方程中各项量级的分布特点,提出了多级扰动法.通过它可以使该方程中量级最大的垂直气压梯度力项(VPGF)和重力项(G)的相应扰动项的量级随级次n的增加明显减小,而其他项的量级不变;而且,方程中最大的垂直截断误差的量级也随n的增加而减小,直到高级扰动项不再是扰动方程中仅有的最大项时为止.... 相似文献
19.
John J. Carroll Luis R-Mendez-Nuñez Saffet Tanrikulu 《Boundary-Layer Meteorology》1987,41(1-4):149-169
Most models of atmospheric flow which use the primitive equations require a diagnostic equation to determine local total pressure. In hydrostatic models, this equation is the vertically integrated hydrostatic equation. A frequently used approximation to this integration is to hold the temperature constant within model layers yielding a linear proportionality between p or (Exner's function) and z. This procedure yields static pressures with errors on the order of 10–3mb.If terrain following coordinates are used, terms arise in the horizontal momentum equations involving the gradient of total pressure along the coordinate surface, less a correction for the variation of the hydrostatic pressure along a sloped surface. Erroneous horizontal accelerations are common in these models which result from spurious pressure gradients that are due to inaccurate computation of the static pressure. This error may be amplified if the computation of the slope correction term of the horizontal pressure gradient is not consistent with the method of calculating the total pressure.We derive a methodology to be used in the vertical pressure integrations that is exact if the potential temperature lapse rate is constant between integration limits. The method is applied to both the integration of the hydrostatic equation and the computation of the slope correction term in the horizontal pressure gradient. The method employs a fixed vertical grid and a dynamic one defined by the significant levels in the vertical temperature distribution. With this methodology, the error in calculation of the horizontal pressure gradient acceleration is greatly reduced, especially in situations where the isothermal surfaces are not parallel to the vertical coordinate surfaces. The problem of aliasing and the treatment of significant temperature levels is described. 相似文献
20.
用格子Boltzmann方法构建大气动力学模式的初步研究 总被引：2，自引：0，他引：2
文中建立了一个格子Boltzmann模型 ,经过Chapman Enskog展开得到的方程组能完整描述正压大气的动力过程 ,成功地模拟了正压地转适应过程 ,对Obukhov的经典例子进行了数值检验。结果表明 ,Obukhov的结果只体现了科氏力和气压梯度力的平衡 ,而本模型可以精确地描述科氏力、惯性力和气压梯度力三者的完整平衡 ,与Obukhov线性理论相比 ,气压变化量的数值相差 2 8% ,说明了线性适应理论只在定性方面正确 ,在定量方面还不准确。数值结果还表明粘性力在地转适应过程中基本不起作用。同时 ,还模拟了一个更大尺度的适应问题 ,验证了气压场与风场适应过程取决于尺度大小这一论断数值试验表明 ,格子Boltzmann方法用于模拟大气运动是可行的 ,而且因其编程简洁方便 ,天然具有极好的并行性能 ,对于建立模拟大气和海洋这样涉及复杂动力热力过程的多相大规模数值模式很有发展潜力 相似文献