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The analytical solutions of long waves over geometries with linear and nonlinear variations in the form of power-law nonlinearities with solid inclined wall 以幂律非线性形式的线性和非线性变化与固体倾斜壁上长波的解析解
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-04-13 DOI: 10.1016/j.dynatmoce.2024.101458
Ali Rıza Alan , Cihan Bayındır

In this paper, we derive the exact analytical solutions for the long-wave equation in both linear and nonlinear power-law form depth and breadth geometries containing a solid inclined wall. Firstly, we give general information about the concept of partial reflection and its components, and formulate the solid inclined wall boundary condition. For these specific power-law forms of depth and breadth geometries, we show that in the presence of the solid inclined wall, the long-wave equation admits solutions in terms of Bessel-Z functions and the Cauchy–Euler series. Since the presence of solid vertical wall removes the singular point from the domain, the solution admits both the first and the second kind of the Bessel functions and Cauchy–Euler series terms. We derive results for the general case and also discuss their significance using six different geometries with solid inclined wall.

在本文中,我们推导了包含实心斜墙的线性和非线性幂律形式深度和广度几何中长波方程的精确解析解。首先,我们给出了部分反射概念及其组成部分的一般信息,并制定了实心斜墙边界条件。对于这些特定幂律形式的深度和广度几何图形,我们证明了在存在实心斜墙的情况下,长波方程可以用贝塞尔-Z 函数和考奇-欧勒级数求解。由于实心垂直壁的存在从域中移除了奇异点,因此解中既有第一类也有第二类贝塞尔函数和 Cauchy-Euler 级数项。我们推导出了一般情况下的结果,并利用六种不同的带有实心斜壁的几何形状讨论了这些结果的意义。
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引用次数: 0
Developmental mechanism of the SWCV nonlinear inertial waves SWCV 非线性惯性波的发展机制
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-04-04 DOI: 10.1016/j.dynatmoce.2024.101457
Chun Liu , Yueqing Li , Jun Sun , Yunlong Zhao , Jiaqi Yu

Based on the Boussinosq Approximation formulas in the symmetric, cylindric coordinates, the nonlinear effects of the internal inertial gravity waves on the meso-micro scale convective activities of Southwest China Vortex system are analyzed by the multi-scale and perturbation approximation methods. The results obtain two main conclusions: (1) When the atmospheric stratification is stable, the inertial gravity waves for Southwest China Vortex may also develop into finite-amplitude wave packet with a solitonic characteristics of large amplitude and short duration, forming a long-narrow wave band which activates and organizes severe convective activities like high wind and thunderstorm of Southwest China Vortex. When the atmospheric stratification is unstable, the inertial gravity waves exhibits attenuating oscillation characteristics and develops into finite-amplitude wave packet with large amplitude and fast speed, forming queue-type wave band that activates and organizes extreme weather like persistent heavy rainfall of Southwest China Vortex. (2) Under different atmospheric stratifications, the effects of thermal forcing on the inertial gravity waves for Southwest China Vortex are different. In the stable atmospheric stratification, the thermal forcing mainly intensifies the inertial gravity waves and has no significant effect on its duration. And in the unstable atmospheric stratification, the thermal forcing not only strengthens its growth but also obviously extends its duration. The research has revealed the some nonlinear characteristics of the internal inertial gravity waves for Southwest China Vortex, and improved the theoretical understanding about the critical role of the internal inertial gravity waves dynamic processes and its influence mechanism on the meso-micro scale severe convection weather for Southwest China Vortex.

基于对称圆柱坐标下的布西诺斯克近似公式,采用多尺度和扰动近似方法分析了中国西南大涡系统内部惯性重力波对中微尺度对流活动的非线性影响。结果得到两个主要结论:(1)当大气分层稳定时,西南低涡的惯性重力波也可能发展为有限振幅波包,具有振幅大、持续时间短的孤子特性,形成长窄波带,激活和组织西南低涡的大风、雷暴等强对流活动。当大气分层不稳定时,惯性重力波呈现衰减振荡特征,发展为振幅大、速度快的有限振幅波包,形成队列型波带,激活并组织西南低涡持续强降雨等极端天气。(2)在不同的大气分层条件下,热强迫对西南低涡惯性重力波的影响不同。在稳定的大气分层中,热强迫主要增强惯性重力波,对其持续时间无明显影响。而在不稳定的大气分层中,热强迫不仅加强了惯性重力波的增长,而且明显延长了其持续时间。该研究揭示了西南低涡内部惯性重力波的一些非线性特征,提高了理论界对西南低涡内部惯性重力波动力过程的关键作用及其对中-微尺度强对流天气影响机制的认识。
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引用次数: 0
Intercomparison of tropical Indian Ocean circulation in ocean reanalysis and evaluation in CMIP6 climate models 海洋再分析中热带印度洋环流的相互比较和 CMIP6 气候模式的评估
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-03-21 DOI: 10.1016/j.dynatmoce.2024.101456
P. Bhanu Deepika , Soumya Mohan , G. Srinivas

In the present study, we assess the Tropical Indian Ocean (TIO) circulation features from the available ocean reanalysis products and the latest version of Coupled Model Intercomparison Project (CMIP6) climate model simulations. We considered the following reanalysis products; Ocean Reanalysis System 5 (ORAS5), Estimating the Circulation and Climate of the Ocean (ECCO), Global Ocean Data Assimilation System (GODAS), Ensemble Coupled Data Assimilation (ECDA), the Bluelink Reanalysis (BRAN) and Simple Ocean Data Assimilation (SODA) and compared them against in-situ observations and the satellite-derived Ocean Surface Current Analyses Real-time (OSCAR). The reanalysis products underestimate the strength and location of the Wyrtki Jets. The BRAN reanalysis performed well compared to the other products in representing the TIO surface zonal currents, followed by ORAS5. The vertical extension of subsurface zonal currents in the equatorial Indian Ocean and their seasonal maxima are well captured in ORAS5. Thus, our analysis suggests that the ORAS5 is a qualitative product to estimate the TIO circulation. We further evaluated the TIO current patterns simulated by CMIP6 models with in-situ data/ ORAS5. The majority of the models show discrepancies in simulating equatorial and south equatorial current systems with a mean bias of 0.1cms−1 and 0.2cms−1, respectively. NorESM2-MM, NorESM2-LM, CanESM5, CESM2-WACCM-FV2, and E3SM-1-ECA models showed a superior skill in reproducing the TIO circulation compared to the rest of the models. Our analysis highlights the importance of assessing various reanalysis products and coupled climate models in representing the circulation of the TIO and, consequently, their role in depicting regional weather and climate.

在本研究中,我们从现有的海洋再分析产品和最新版本的耦合模式相互比较项目(CMIP6)气候模式模拟中评估了热带印度洋(TIO)环流特征。我们考虑了以下再分析产品:海洋再分析系统 5(ORAS5)、海洋环流和气候估算(ECCO)、全球海洋数据同化系统(GODAS)、集合耦合数据同化(ECDA)、蓝链再分析(BRAN)和简单海洋数据同化(SODA),并将它们与现场观测数据和源自卫星的洋面海流实时分析(OSCAR)进行了比较。再分析产品低估了 Wyrtki 喷射流的强度和位置。与其他产品相比,BRAN 再分析在表现 TIO 表面带流方面表现良好,其次是 ORAS5。ORAS5 很好地捕捉了赤道印度洋次表层带状洋流的垂直延伸及其季节性最大值。因此,我们的分析表明,ORAS5 是估算 TIO 环流的定性产品。我们进一步评估了 CMIP6 模式模拟的 TIO 海流模式和 ORAS5 原位数据。大多数模式在模拟赤道和南赤道海流系统方面存在差异,平均偏差分别为 0.1cms-1 和 0.2cms-1。与其他模式相比,NorESM2-MM、NorESM2-LM、CanESM5、CESM2-WACCM-FV2 和 E3SM-1-ECA 模式在再现 TIO 环流方面表现得更为出色。我们的分析强调了评估各种再分析产品和耦合气候模式在表现 TIO 环流方面的重要性,以及它们在描述区域天气和气候方面的作用。
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引用次数: 0
Investigating the possibilities of temperature concentration distribution in Zayanderood based on climate change 根据气候变化调查扎扬德鲁德温度浓度分布的可能性
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-03-19 DOI: 10.1016/j.dynatmoce.2024.101454
Mohammad Nazeri Tahroudi , Rasoul Mirabbasi , Aliheidar Nasrolahi

In this study, temperature changes and its concentration distribution in the period of 1984–2015 and 2015–2100 were investigated under CanESM5 climate model and SSP126, SSP245 and SSP585 scenarios. By confirming the correlation (more than 0.96) and the efficiency coefficient of the model (more than 0.82), the trend of temperature values using modified Mann-Kendall test and temperature concentration index (TCI) values in the sub-basins of Zayanderood Dam, Iran was estimated. The results indicated a non-significant upward trend in the base period (1984–2015) and a significant increasing trend at the level of 5% in the future period (2015–2100) produced by the mentioned scenarios. According to the slope of the trend line, an increase of 1.45, 4 and 9.8 degrees Celsius is predicted during the period of 2015–2100 according to the SSP126, SSP245 and SSP585 scenarios, respectively. The evaluation of changes in TCI values in the studied area showed that in the future period, the distribution of rainfall patterns will be regular and the uniformity of temperature distribution in the SSP585 scenario is more than in the other two scenarios. The results of the temperature pattern distribution in the study area showed that according to the upcoming climate changes and under the studied scenarios, it is expected that while the study area is warming in the future, the uniformity of the temperature distribution will also appear in the months of the year. This shows the reduction of temperature fluctuations and the uniformity of the average temperature in the months of the year. The reduction of TCI values shows the equalization of average temperature changes in the seasons. The results of the investigations showed that the combination of climate change scenarios with the TCI can well show the concentration and distribution of the temperature in different periods.

本研究在 CanESM5 气候模式和 SSP126、SSP245 和 SSP585 情景下,研究了 1984-2015 年和 2015-2100 年期间的气温变化及其浓度分布。通过确认模型的相关性(大于 0.96)和效率系数(大于 0.82),利用修正的 Mann-Kendall 检验和温度浓度指数(TCI)值估算了伊朗 Zayanderood 大坝子流域的温度值趋势。结果表明,基期(1984-2015 年)的上升趋势并不明显,而在所述情景下,未来时期(2015-2100 年)的上升趋势明显(5%)。根据趋势线的斜率,按照 SSP126、SSP245 和 SSP585 预测,2015-2100 年期间的气温将分别上升 1.45、4 和 9.8 摄氏度。对研究区域 TCI 值变化的评估结果表明,在未来一段时间内,SSP585 情景下的降雨模式分布将是有规律的,温度分布的均匀性也高于其他两个情景。研究区域的气温模式分布结果表明,根据即将发生的气候变化和所研究的情景,预计未来研究区域在变暖的同时,全年各月的气温分布也将趋于均匀。这表明气温波动减小,全年各月平均气温趋于一致。TCI 值的降低表明四季平均温度变化趋于一致。研究结果表明,将气候变化情景与 TCI 相结合,可以很好地显示不同时期气温的浓度和分布。
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引用次数: 0
Evaluating the climatic state of Indian Summer Monsoon during the mid-Pliocene period using CMIP6 model simulations 利用 CMIP6 模型模拟评估上新世中期印度夏季季风的气候状况
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-03-17 DOI: 10.1016/j.dynatmoce.2024.101455
Karishma Dahiya , Nagaraju Chilukoti , Raju Attada

The Indian Summer Monsoon Rainfall (ISMR) plays a critical role in agriculture, thereby significantly affecting the economy of India. Yet, there is a large spread in the ISMR variability for future projections (by the end of 21st century) as simulated by coupled general circulation models. Gaining insight into the variations of the ISMR during warm periods could enhance our ability to understand ISMR variability in the future. In this study, we have selected the mid-Pliocene warm period from 3.0 to 3.3 million years ago (Ma), which has similar external forcing (orbital parameters) comparable to the end of the 21st century. To evaluate the ISMR mean state during the mid-Pliocene, we have used six available Coupled Model Intercomparison Project phase 6 (CMIP6) model simulations and their multi-model ensemble mean. Our analysis suggests that the ensemble of CMIP6 models is better than individual models in capturing the ISM rainfall patterns and its characteristics for the historical period of 1914–2013. During the mid-Pliocene, we find an increase in the JJAS rainfall over most parts of India in comparison to the pre-industrial period with an increase of 34% in seasonal precipitation. This higher precipitation conditions during the mid-Pliocene is accompanied by thermo dynamical (higher CO2 forcing led to higher tropospheric temperature and higher precipitable water) and dynamical (larger tropospheric temperature gradient between Indian landmass and southern Indian Ocean corresponds to enhanced moisture transport, enhanced low-level cross-equatorial flow and intensified Monsoon Hadley Circulation) aspects.

印度夏季季风降雨量(ISMR)对农业起着至关重要的作用,从而对印度的经济产生重大影响。然而,根据耦合大气环流模型模拟的未来预测(到 21 世纪末),印度夏季季风降雨量的变化差异很大。深入了解温暖时期 ISMR 的变化,可以提高我们对未来 ISMR 变化的理解能力。在本研究中,我们选择了距今 300 万年前至 330 万年前的中更新世暖期,其外部强迫(轨道参数)与 21 世纪末相似。为了评估上新世中期的 ISMR 平均状态,我们使用了 6 个可用的耦合模式相互比较项目第 6 阶段(CMIP6)模式模拟及其多模式集合平均值。我们的分析表明,在捕捉 1914-2013 年这一历史时期的 ISM 降雨模式及其特征方面,CMIP6 模型的集合平均值优于单个模型。在上新世中期,我们发现印度大部分地区的 JJAS 降水量与工业化前相比有所增加,季节性降水量增加了 34%。上新世中期降水量的增加与热动力(更高的二氧化碳强迫导致更高的对流层温度和更高的可降水量)和动力学(印度陆地和南印度洋之间更大的对流层温度梯度对应于更强的水汽输送、更强的低层跨赤道流和更强的季风哈德利环流)方面有关。
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引用次数: 0
Decoding low-frequency climate variations: A case study on ENSO and ocean surface warming 解码低频气候变异:厄尔尼诺/南方涛动和海洋表面变暖案例研究
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-03-02 DOI: 10.1016/j.dynatmoce.2024.101453
Rameshan Kallummal

Current perspectives on lower frequency variations and secular warming have predominantly been shaped by traditional anomalies that assume an annual cycle (AC) with a time-invariant amplitude. However, this anomaly framework falls short in capturing the complexity of multiple periodic modes with intricate waveforms and time dependent amplitude—the traits, in general, shared by externally forced responses of complex dynamical systems. By allowing interannual amplitude modulation of ACs, we show that the monotonic amplitude increases of the first AC of Sea Surface Temperature (SST) are manifested as the basin-wide secular warming of the ocean surface. Notably, the first SST-AC exhibits significant interannual variances and the largest linear warming rates in the Pacific Warm Pool. While the linear warming pattern mirrors that of a long-term mean SST, it depicts an entirely different warming pattern on the surface of the tropical Pacific Ocean compared to those reported so far. Moreover, all interannual warm (El Niño) and cold (La Niña) events in tropical Pacific regions are abnormal interannual modulations in the third and fourth ACs of SST, respectively. Specifically, a strong El Niño event occurs when a positive amplitude modulation leads to the overlap of two consecutive positive phases of the third AC of SST. Conversely, the absence of such overlaps during negative amplitude modulations significantly contributes to the positive skewness of SST anomalies. No systematic decadal changes in the zonal propagation characteristics of SST in the eastern Pacific (EP) and central Pacific (CP) regions were detected. These findings underscore that the secular warming and low-frequency events in EP and CP are intrinsic to three distinct ACs.

目前关于低频变化和世态变暖的观点主要是由传统的异常现象形成的,这种异常现象假定年周期(AC)具有时间不变的振幅。然而,这种异常框架无法捕捉具有复杂波形和随时间变化的振幅的多种周期模式的复杂性--一般而言,这些特征是复杂动力系统的外力强迫响应所共有的。通过允许交流的年际振幅调制,我们发现海表温度(SST)第一个交流的单调振幅增加表现为全海盆范围的海洋表面世俗变暖。值得注意的是,第一个 SST-AC 显示出显著的年际差异和太平洋暖池中最大的线性变暖速率。虽然线性增暖模式与长期平均 SST 模式相似,但与迄今报道的模式相比,热带太平洋海面的增暖模式完全不同。此外,热带太平洋区域的所有年际暖现象(厄尔尼诺现象)和冷现象(拉尼娜现象)都分别是海温第三和第四交变周期的异常年际调制。具体地说,当正向振幅调制导致海温第三交变相的两个连续正向相位重叠时,就会出现强烈的厄尔尼诺现象。相反,在负振幅调制过程中,如果没有这种重叠,则会大大加剧海温异常的正偏度。在东太平洋(EP)和中太平洋(CP)地区,没有发现海温的带状传播特征有系统的十年变化。这些发现突出表明,东太平洋和中太平洋的季节性变暖和低频事件是三个不同的交流所固有的。
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引用次数: 0
Corrigendum to “On the phenology of coastal upwelling off central-southern Chile” [Dyn. Atmos. Oceans 104 (2023) 1–17] 智利中南部沿海上升流物候 "更正[Dyn. Atmos. Oceans 104 (2023) 1-17]
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-02-28 DOI: 10.1016/j.dynatmoce.2024.101447
Richard Muñoz , Odette A. Vergara , Pedro A. Figueroa , Piero Mardones , Marcus Sobarzo , Gonzalo S. Saldías
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引用次数: 0
Assessment of mean precipitation and precipitation extremes in Iran as simulated by dynamically downscaled RegCM4 伊朗平均降水量和极端降水量的评估(RegCM4动态降尺度模拟结果
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-02-23 DOI: 10.1016/j.dynatmoce.2024.101452
Azar Zarrin, Abbasali Dadashi-Roudbari

This paper aims to assess the mean precipitation and precipitation extremes over Iran as simulated by the Regional Climate Model (RegCM4). A simulation spanning 20 years (1991–2010) at a horizontal resolution of 20 Km is driven by the NCEP / NCAR reanalysis. We evaluated the model by comparing simulated precipitation with observations using Bias, Root-Mean-Square Error, and Index of Agreement metrics. We examined the extreme precipitations based on a set of extreme indices recommended by the Expert Team on Climate Change Detection and Indices (ETCCDI) in three categories of intensity (Rx1day and SDII), duration (CDD and CWD), and frequency (R10mm and R20mm). The linear trends are calculated using the Theil–Sen estimator method, and the statistical significance (95% confidence level) is determined by using a modified Mann-Kendall (MMK) trend test. The RegCM4 model satisfactory captured the spatial distribution of precipitation and precipitation extremes, although high bias remained in small parts of Iran, including the northwest and southeast. The northwest bias is due to spring convectional precipitation and the southeast bias could be caused by precipitation from the Asian summer monsoon system, which both of them may not be well simulated by the applied Grell convective scheme. Results indicate that the model reasonably captures Rx1day, SDII, CWD, R10mm, and R20mm Indices over Iran. In good agreement with precipitation observations, the southern coast of the Caspian Sea represents the second-highest extreme precipitation, except for SDII, which is probably due to the high frequency of rainy days in this region. The highest CDD of more than 200 days is found in the arid and semi-arid regions of the southeast. In general, precipitation decreased in most regions of Iran, especially the western, southern, and interior regions. In addition, the results reveal that heavy (R10mm) and very heavy (R20mm) precipitation events have also decreased in the same regions. Results also emphasize an increase in consecutive dry days (CDD) in most parts, especially in the southeast, which deserves more attention in future research. The decreasing trend of precipitation and the increasing trend of CDD show that Iran has become drier in the 2000 s compared to the 1990 s

本文旨在评估区域气候模式(RegCM4)模拟的伊朗平均降水量和极端降水量。模拟时间跨度为 20 年(1991-2010 年),水平分辨率为 20 千米,由 NCEP / NCAR 再分析驱动。我们使用偏差、均方根误差和一致指数指标对模型的模拟降水量和观测数据进行了比较评估。我们根据气候变化探测和指数专家组(ETCCDI)推荐的一套极端指数,从强度(Rx1 天和 SDII)、持续时间(CDD 和 CWD)和频率(R10 毫米和 R20 毫米)三个类别对极端降水进行了研究。线性趋势采用 Theil-Sen 估算法计算,统计显著性(95% 置信度)采用修正的 Mann-Kendall (MMK) 趋势检验法确定。RegCM4 模型令人满意地捕捉到了降水和极端降水的空间分布,但在伊朗西北部和东南部等小部分地区仍存在较高偏差。西北部偏差是由于春季对流降水造成的,东南部偏差可能是由亚洲夏季季风系统降水造成的,而应用的 Grell 对流方案可能无法很好地模拟这两种降水。结果表明,该模式合理地捕捉了伊朗上空的 Rx1day、SDII、CWD、R10mm 和 R20mm 指数。与降水观测结果非常吻合的是,里海南部沿岸的极端降水量位居第二,但 SDII 除外,这可能是由于该地区的雨日频率较高。东南部干旱和半干旱地区的 CDD 最高,超过 200 天。总体而言,伊朗大部分地区降水量减少,尤其是西部、南部和内陆地区。此外,研究结果还显示,这些地区的暴雨(10 毫米)和特大暴雨(20 毫米)也有所减少。结果还显示,大部分地区的连续干旱日(CDD)有所增加,尤其是东南部地区,这值得在今后的研究中给予更多关注。降水量的减少趋势和连续干旱日的增加趋势表明,与 1990 年代相比,伊朗在 2000 年代变得更加干旱。
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引用次数: 0
The impacts of hail microphysics on maximum potential intensity of idealized tropical cyclone 冰雹微物理对理想化热带气旋最大潜在强度的影响
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-02-22 DOI: 10.1016/j.dynatmoce.2024.101451
Chen Chen , Jiangnan Li

Maximum potential intensity (MPI), which a TC may reach in certain environment conditions, can be affected by microphysical processes. Latent heat released in the process of TC development plays a significant role in it. However, the impacts of hail added both to single-moment and double-moment microphysics parameterization scheme on the MPI remain unclear. In this study, high-resolution sensitivity experiments are conducted in the Weather Research and Forecasting (WRF) model by using four bulk microphysics schemes belonging to a family, namely, WRF Single-Moment 6-Class (WSM6) scheme, WRF Double-Moment 6-Class (WDM6) scheme, WRF Single-Moment 7-Class (WSM7) scheme, WRF Double-Moment 7-Class (WDM7) scheme. Results show that SM schemes simulate the greater MPI than DM schemes. Adding hail in SM scheme increases the MPI while in DM scheme makes less difference. There is a close relationship between the MPI and the radial peak location and intensity of latent heat. The closer the latent heat peak is to the TC center and the greater the peak intensity is, the greater the MPI can be achieved. Though the presence of hail plays a cooling effect thermally, it may affect the TC structures due to the larger sedimentation speed. WSM7 scheme including hail microphysics simulates the TC with smaller size and eye wall inclination, and thus the latent heating efficiency in the eye wall is higher, which is more conducive to TC intensification. However, the larger content of hail resulting from the accretion of liquid water in WDM7 scheme brings a stronger cooling effect and probably offsets the dynamic advantage.

热带气旋在某些环境条件下可能达到的最大潜在强度(MPI)会受到微物理过程的影响。热气旋发展过程中释放的潜热在其中发挥了重要作用。然而,在单时刻和双时刻微物理参数化方案中加入冰雹对 MPI 的影响仍不清楚。本研究在天气研究和预报(WRF)模式中使用了四种同属一个系列的体微观物理方案,即WRF单时刻6级(WSM6)方案、WRF双时刻6级(WDM6)方案、WRF单时刻7级(WSM7)方案和WRF双时刻7级(WDM7)方案,进行了高分辨率灵敏度试验。结果表明,与 DM 方案相比,SM 方案模拟的 MPI 更大。在 SM 方案中添加冰雹会增加 MPI,而在 DM 方案中差异较小。MPI 与潜热的径向峰值位置和强度关系密切。潜热峰离热气流中心越近,峰值强度越大,所能达到的 MPI 就越大。虽然冰雹的存在在热学上起到冷却作用,但由于沉降速度较大,可能会影响热气旋结构。包含冰雹微物理的 WSM7 方案模拟的热气旋尺寸较小,眼壁倾角较小,因此眼壁的潜热效率较高,更有利于热气旋的加强。然而,在 WDM7 方案中,液态水吸积产生的冰雹含量较大,带来了较强的冷却效应,可能抵消了动态优势。
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引用次数: 0
Invalid spheroidal geopotential approximation and non-decomposable centrifugal acceleration from gravity – Reply to: Comments on “Horizontal gravity disturbance vector in atmospheric dynamics” by Chang, Wolfe, Stewart, McWilliams 无效的球状位势近似和不可分解的重力离心加速度--答复:Chang, Wolfe, Stewart, McWilliams 对 "大气动力学中的水平重力扰动矢量 "的评论
IF 1.7 4区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-02-07 DOI: 10.1016/j.dynatmoce.2024.101450
Peter C. Chu

Chang, Wolfe, Stewart, and McWilliams commented on my recent work regarding the horizontal gravity disturbance vector in atmospheric and oceanic dynamics. Their comments are incorrect. They ignored the horizontal pressure gradient error, claimed the validity of the spheroidal geopotential approximation subjectively based only on small metric error, and decomposed gravity into gravitational and centrifugal accelerations, which should never have been done. Here, I explain further why the spheroidal geopotential approximation is invalid and why gravity cannot be decomposed into gravitational and centrifugal accelerations in atmospheric and oceanic dynamics. Physically, the horizontal gravity disturbance vector vanishes in the horizontal momentum equation using the true gravity gt in the true geopotential coordinates but does occur in the horizontal momentum equation using the true gravity gt in the spheroidal geopotential coordinates due to the horizontal pressure gradient error in the coordinate transformation. The error of horizontal pressure gradient force in transforming true geopotential to spheroidal geopotential coordinates equals to the horizontal gravity disturbance vector. The spheroidal geopotential approximation claimed by Chang, Wolfe, Stewart, and McWilliams is invalid.

Chang、Wolfe、Stewart 和 McWilliams 对我最近关于大气和海洋动力学中水平重力扰动矢量的研究发表了评论。他们的评论是错误的。他们忽略了水平压力梯度误差,仅根据微小的度量误差就主观地声称球面位势近似的有效性,并将重力分解为重力加速度和离心加速度,这是不应该的。在此,我进一步解释为什么球面位势近似无效,为什么在大气和海洋动力学中不能将重力分解为重力加速度和离心加速度。从物理学角度讲,在使用真实位势坐标中的真实重力 gt 的水平动量方程中,水平重力扰动矢量消失了,但在使用球面位势坐标中的真实重力 gt 的水平动量方程中,由于坐标变换中的水平压力梯度误差,水平重力扰动矢量确实出现了。将真实位势坐标转换为球面位势坐标时的水平压力梯度力误差等于水平重力扰动矢量。Chang、Wolfe、Stewart 和 McWilliams 声称的球面位势近似是无效的。
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Dynamics of Atmospheres and Oceans
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