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Models under location uncertainty are derived assuming that a component of the velocity is uncorrelated in time. The material derivative is accordingly modified to include an advection correction, inhomogeneous and anisotropic diffusion terms and a multiplicative noise contribution. In this paper, simplified geophysical dynamics are derived from a Boussinesq model under location uncertainty. Invoking usual scaling approximations and a moderate influence of the subgrid terms, stochastic formulations are obtained for the stratified Quasi-Geostrophy and the Surface Quasi-Geostrophy models. Based on numerical simulations, benefits of the proposed stochastic formalism are demonstrated. A single realization of models under location uncertainty can restore small-scale structures. An ensemble of realizations further helps to assess model error prediction and outperforms perturbed deterministic models by one order of magnitude. Such a high uncertainty quantification skill is of primary interests for assimilation ensemble methods. MATLAB® code examples are available online. 相似文献
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分辨率的限制使得不能被模式识别的地形称为次网格尺度地形,次网格尺度地形在热力和动力方面对实际大气有着不可忽略的作用,其效应只能通过参数化的形式回馈给模式。分辨率的提高使得与较小尺度地形相联系的地形湍流拖曳力凸显其重要性。数值模式中地形湍流拖曳力的参数化对完善模式物理过程和改善模式近地层预报效果具有积极意义,其方法包括有效粗糙度法和直接参数化法,而GRAPES模式中并未以任何方法考虑次网格尺度地形的影响。该文通过单柱模式比较了有效粗糙度法和直接参数化法的优劣, 发现后者在有些方面优于前者。最后,将应用于实际的一个直接参数化方案接入GRAPES中尺度模式中,进行个例模拟,并与NCEP再分析资料进行对比,结果表明:考虑地形湍流拖曳力方案对模式预报具有改进作用,尤其对局地低层风场具有积极影响。 相似文献
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Based on preliminary theoretical analysis and numerical experiment, it is found that land surface heterogeneity plays an important role in the models turbulent flux calculation. In nearly neutral atmosphere conditions, variation coefficient of sub-scale roughness length, cell-average roughness, and reference height are main factors affecting the calculation of grid turbulent fluxes. The first factor has a determinant role on calculation deviation. The relative error generated by roughness heterogeneity could be more than 40% in some cases in certain areas (e.g., in vegetation-climate transition belt). Selecting a specific reference height may improve the calculation of turbulent flux. In stable or unstable atmosphere conditions, with sensible heat flux as an example, analysis shows that the discrepancy is correlated to the sub-grid distributions of mean wind velocity, potential temperature gradient between land surface and reference levels, and atmosphere stability near surface layer caused by the heterogeneity of land surface roughness. The calculation of turbulent flux is the most sensitive to stability in the above three factors. The above analysis shows that it is necessary to make a further consideration for the calculation deviation of the turbulent fluxes brought from land surface heterogeneity in the present numerical models. 相似文献
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A P - σ regional climate model using a parameterization scheme to account for the thermal effects of the sub-grid scale orography was used to simulate the three heavy rainfall events that occurred within the Yangtze River Valley during the mei-yu period of 1991. The simulation results showed that by considering the sub-grid scale topography scheme, one can significantly improve the performance of the model for simulating the rainfall distribution and intensity during these three heavy rainfall events, most especially the second and third. It was also discovered that the rainfall was mainly due to convective precipitation. The comparison between experiments, either with and without the sub-grid scale topography scheme, showed that the model using the scheme reproduced the convergence intensity and distribution at the 850 hPa level and the ascending motion and moisture convergence center located at 500 hPa over the Yangtze River valley. However, some deviations still exist in the simulation of the atmospheric moisture content, the convergence distribution and the moisture transportation route, which mainly result in lower simulated precipitation levels. Further analysis of the simulation results demonstrated that the sub-grid topography scheme modified the distribution of the surface energy budget components, especially at the south and southwest edges of the Tibetan Plateau, leading to the development and eastward propagation of the negative geopotential height difference and positive temperature-lapse rate difference at 700 hPa, which possibly led to an improved precipitation simulation over eastern China. 相似文献
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Graham A. Sexstone Jessica M. Driscoll Lauren E. Hay John C. Hammond Theodore B. Barnhart 《水文研究》2020,34(11):2365-2380
The spatial variability of snow water equivalent (SWE) can exert a strong influence on the timing and magnitude of snowmelt delivery to a watershed. Therefore, the representation of sub-grid or sub-watershed snow variability in hydrologic models is important for accurately simulating snowmelt dynamics and runoff response. The U.S. Geological Survey National Hydrologic Model infrastructure with the precipitation-runoff modelling system (NHM-PRMS) represents the sub-grid variability of SWE with snow depletion curves (SDCs), which relate snow-covered area to watershed-mean SWE during the snowmelt period. The main objective of this research was to evaluate the sensitivity of simulated runoff to SDC representation within the NHM-PRMS across the continental United States (CONUS). SDCs for the model experiment were derived assuming a range of SWE coefficient of variation values and a lognormal probability distribution function. The NHM-PRMS was simulated at a daily time step for each SDC over a 14-year period. Results highlight that increasing the sub-grid snow variability (by changing the SDC) resulted in a consistently slower snowmelt rate and longer snowmelt duration when averaged across the hydrologic response unit scale. Simulated runoff was also found to be sensitive to SDC representation, as decreases in simulated snowmelt rate by 1 mm day−1 resulted in decreases in runoff ratio by 1.8% on average in snow-dominated regions of the CONUS. Simulated decreases in runoff associated with slower snowmelt rates were approximately inversely proportional to increases in simulated evapotranspiration. High snow persistence and peak SWE:annual precipitation combined with a water-limited dryness index was associated with the greatest runoff sensitivity to changing snowmelt. Results from this study highlight the importance of carefully parameterizing SDCs for hydrologic modelling. Furthermore, improving model representation of snowmelt input variability and its relation to runoff generation processes is shown to be an important consideration for future modelling applications. 相似文献
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次网格积雪参数化在祁连山区斑状积雪带模拟中的应用 总被引:2,自引:0,他引:2
运用中尺度大气模式MM5,积雪参数化分别采用简单的积雪参数化方案以及考虑次网格积雪分布和雪密度变化的复杂积雪参数化方案,对黑河流域上游祁连站附近气温和降水进行模拟,与祁连站的观测值对比,检验积雪参数化方案中次网格积雪分布和雪密度变化在该地区气温和降水模拟中的作用.结果表明:简单积雪方案对网格积雪的非0即1描述在斑状积雪带是不合理的,尤其在黑河流域海拔3 300 m以下积雪多为斑状或片状,网格内积雪非均匀性的处理是非常必要的;通过耦合简单和复杂积雪方案的大气模式对气温模拟和观测值比较发现,新方案模拟的气温比旧方案模拟值更接近观测值,在气温低于0℃时改进尤其明显,说明使用复杂积雪/融雪方案可改进斑状积雪带气温的模拟.耦合复杂积雪方案的大气模式模拟的降水与观测值绝对误差低于耦合简单积雪方案模拟结果,复杂积雪方案的模拟结果降水错报率为使用简单积雪方案结果的一半,证明了耦合复杂积雪方案可以提高大气模式对该地区春季降水模拟的准确性.与积雪面积变化相对应,耦合复杂积雪方案模拟出了融雪产流量,而使用简单积雪方案则没有模拟出来.综上所述,耦合考虑次网格积雪分布和雪密度变化的复杂积雪参数化方案比耦合“非0即1”积雪方案可以更准确地模拟祁连山区冬、春季气温和降水. 相似文献
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