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Uncertainty Quantification of a Machine Learning Subgrid-Scale Parameterization for Atmospheric Gravity Waves 大气重力波机器学习子网格尺度参数化的不确定性量化
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-17 DOI: 10.1029/2024MS004292
L. A. Mansfield, A. Sheshadri

Subgrid-scale processes, such as atmospheric gravity waves (GWs), play a pivotal role in shaping the Earth's climate but cannot be explicitly resolved in climate models due to limitations on resolution. Instead, subgrid-scale parameterizations are used to capture their effects. Recently, machine learning (ML) has emerged as a promising approach to learn parameterizations. In this study, we explore uncertainties associated with a ML parameterization for atmospheric GWs. Focusing on the uncertainties in the training process (parametric uncertainty), we use an ensemble of neural networks to emulate an existing GW parameterization. We estimate both offline uncertainties in raw NN output and online uncertainties in climate model output, after the neural networks are coupled. We find that online parametric uncertainty contributes a significant source of uncertainty in climate model output that must be considered when introducing NN parameterizations. This uncertainty quantification provides valuable insights into the reliability and robustness of ML-based GW parameterizations, thus advancing our understanding of their potential applications in climate modeling.

大气重力波(GWs)等亚网格尺度过程在塑造地球气候方面发挥着关键作用,但由于分辨率的限制,无法在气候模式中明确解决。相反,亚网格尺度参数被用来捕捉它们的影响。最近,机器学习(ML)已成为学习参数化的一种有前途的方法。在本研究中,我们探讨了与大气全球变暖 ML 参数化相关的不确定性。针对训练过程中的不确定性(参数不确定性),我们使用神经网络集合来模拟现有的 GW 参数化。我们估算了原始神经网络输出中的离线不确定性,以及神经网络耦合后气候模式输出中的在线不确定性。我们发现,在线参数不确定性是气候模式输出不确定性的一个重要来源,在引入神经网络参数化时必须加以考虑。这种不确定性量化对基于 ML 的全球变暖参数化的可靠性和稳健性提供了宝贵的见解,从而推进了我们对其在气候建模中的潜在应用的理解。
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引用次数: 0
A New WENO-Based Momentum Advection Scheme for Simulations of Ocean Mesoscale Turbulence 用于模拟海洋中尺度湍流的基于 WENO 的新动量平流方案
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-15 DOI: 10.1029/2023MS004130
Simone Silvestri, Gregory L. Wagner, Jean-Michel Campin, Navid C. Constantinou, Christopher N. Hill, Andre Souza, Raffaele Ferrari

Current eddy-permitting and eddy-resolving ocean models require dissipation to prevent a spurious accumulation of enstrophy at the grid scale. We introduce a new numerical scheme for momentum advection in large-scale ocean models that involves upwinding through a weighted essentially non-oscillatory (WENO) reconstruction. The new scheme provides implicit dissipation and thereby avoids the need for an additional explicit dissipation that may require calibration of unknown parameters. This approach uses the rotational, “vector invariant” formulation of the momentum advection operator that is widely employed by global general circulation models. A novel formulation of the WENO “smoothness indicators” is key for avoiding excessive numerical dissipation of kinetic energy and enstrophy at grid-resolved scales. We test the new advection scheme against a standard approach that combines explicit dissipation with a dispersive discretization of the rotational advection operator in two scenarios: (a) two-dimensional turbulence and (b) three-dimensional baroclinic equilibration. In both cases, the solutions are stable, free from dispersive artifacts, and achieve increased “effective” resolution compared to other approaches commonly used in ocean models.

目前的涡允许和涡解析海洋模式需要耗散,以防止网格尺度上虚假的动量累积。我们为大尺度海洋模式中的动量平流引入了一种新的数值方案,即通过加权基本非振荡(WENO)重构进行上卷。新方案提供了隐式耗散,从而避免了可能需要校准未知参数的额外显式耗散。这种方法使用了全球大气环流模式广泛采用的动量平流算子的旋转 "矢量不变 "公式。对 WENO "平滑指标 "的新表述是避免网格分辨尺度上动能和能量过度数值耗散的关键。我们将新的平流方案与标准方法进行了对比测试,标准方法将显式耗散与旋转平流算子的分散离散结合在一起,分为两种情况:(a) 二维湍流和 (b) 三维气压平衡。与海洋模型中常用的其他方法相比,这两种情况下的求解都很稳定,没有色散假象,并提高了 "有效 "分辨率。
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引用次数: 0
Resolving Weather Fronts Increases the Large-Scale Circulation Response to Gulf Stream SST Anomalies in Variable-Resolution CESM2 Simulations 在可变分辨率 CESM2 模拟中解决天气锋面问题可增强大尺度环流对湾流 SST 异常的响应
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-15 DOI: 10.1029/2023MS004123
Robert C. J. Wills, Adam R. Herrington, Isla R. Simpson, David S. Battisti

Canonical understanding based on general circulation models (GCMs) is that the atmospheric circulation response to midlatitude sea-surface temperature (SST) anomalies is weak compared to the larger influence of tropical SST anomalies. However, the ∼100-km horizontal resolution of modern GCMs is too coarse to resolve strong updrafts within weather fronts, which could provide a pathway for surface anomalies to be communicated aloft. Here, we investigate the large-scale atmospheric circulation response to idealized Gulf Stream SST anomalies in Community Atmosphere Model (CAM6) simulations with 14-km regional grid refinement over the North Atlantic, and compare it to the responses in simulations with 28-km regional refinement and uniform 111-km resolution. The highest resolution simulations show a large positive response of the wintertime North Atlantic Oscillation (NAO) to positive SST anomalies in the Gulf Stream, a 0.4-standard-deviation anomaly in the seasonal-mean NAO for 2°C SST anomalies. The lower-resolution simulations show a weaker response with a different spatial structure. The enhanced large-scale circulation response results from an increase in resolved vertical motions with resolution and an associated increase in the influence of SST anomalies on transient-eddy heat and momentum fluxes in the free troposphere. In response to positive SST anomalies, these processes lead to a stronger and less variable North Atlantic jet, as is characteristic of positive NAO anomalies. Our results suggest that the atmosphere responds differently to midlatitude SST anomalies in higher-resolution models and that regional refinement in key regions offers a potential pathway to improve multi-year regional climate predictions based on midlatitude SSTs.

基于大气环流模式(GCM)的典型认识是,与热带海面温度异常的较大影响相比,大气环流对中纬度海面温度异常的响应较弱。然而,现代 GCM ∼ 100 千米的水平分辨率太低,无法解析天气锋面内的强上升气流,而这可能为地表异常向高空传播提供途径。在此,我们研究了北大西洋 14 公里区域网格细化的共同体大气模式(CAM6)模拟对理想化湾流 SST 异常的大尺度大气环流响应,并与 28 公里区域细化和 111 公里统一分辨率模拟的响应进行了比较。分辨率最高的模拟结果显示,冬季北大西洋涛动(NAO)对湾流中的正海温异常有很大的正响应,2°C 的海温异常会导致季节平均 NAO 出现 0.4 标准差的异常。低分辨率模拟的响应较弱,但空间结构不同。大尺度环流响应增强的原因是,随着分辨率的提高,解析的垂直运动也随之增加,同时,海温异常对自由对流层瞬时涡动热通量和动量通量的影响也随之增加。为了应对正的 SST 异常,这些过程导致北大西洋喷流更强、变化更少,这也是正 NAO 异常的特征。我们的研究结果表明,在高分辨率模式中,大气层对中纬度 SST 异常的反应是不同的,在关键区域进行区域细化是改进基于中纬度 SST 的多年区域气候预测的潜在途径。
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引用次数: 0
Machine Learning-Based Clustering of Oceanic Lagrangian Particles: Identification of the Main Pathways of the Labrador Current 基于机器学习的海洋拉格朗日粒子聚类:拉布拉多洋流主要路径的识别
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-14 DOI: 10.1029/2023MS003902
M. Jutras, N. Planat, C. O. Dufour, L. C. Talbot

Modeled geospatial Lagrangian trajectories are widely used in Earth Science, including in oceanography, atmospheric science and marine biology. The typically large size of these data sets makes them arduous to analyze, and their underlying pathways challenging to identify. Here, we show that we can use a machine learning unsupervised k-means++ clustering method combined with expert aggregation of clusters to identify the pathways of the Labrador Current from a large set of modeled Lagrangian trajectories. The presented method requires simple pre-processing of the data, including a Cartesian correction on longitudes and a principal component analysis reduction. The clustering is performed in a kernelized space and uses a larger number of clusters than the number of expected pathways. To identify the main pathways, similar clusters are grouped into pathway categories by experts in the circulation of the region of interest. We find that the Labrador Current mainly follows a westward-flowing and an eastward retroflecting pathway (20% and 50% of the flow, respectively) that compensate each other through time in a see-saw behavior. These pathways experience a strong variability (representing through time 4%–42% and 24%–73% of the flow, respectively). Two thirds of the retroflection occurs at the tip of the Grand Banks, and one quarter at Flemish Cap. The westward pathway is mostly fed by the on-shelf branch of the Labrador Current, and the eastward pathway by the shelf-break branch. Among the pathways of secondary importance, we identify a previously unreported one that feeds the subtropics across the Gulf Stream.

地球科学领域,包括海洋学、大气科学和海洋生物学领域,都广泛使用拉格朗日轨迹地理空间模型。由于这些数据集通常规模庞大,因此分析起来十分困难,而确定其基本路径也具有挑战性。在这里,我们展示了可以使用一种机器学习无监督 k-means++ 聚类方法,结合专家聚类,从大量建模拉格朗日轨迹中识别拉布拉多洋流的路径。该方法只需对数据进行简单的预处理,包括经度的笛卡尔修正和主成分分析缩减。聚类在核化空间中进行,使用的聚类数量大于预期路径的数量。为了确定主要路径,相关区域环流专家将相似的聚类归入路径类别。我们发现,拉布拉多洋流主要遵循西向流动和东向回折路径(分别占洋流的 20% 和 50%),这两种路径随着时间的推移以 "跷跷板 "的方式相互补偿。这些路径具有很强的变化性(随着时间的推移分别占流量的 4%-42% 和 24%-73%)。三分之二的回折发生在大浅滩顶端,四分之一发生在弗拉芒盖帽。西向路径主要由拉布拉多洋流的陆架支流提供补给,东向路径则由陆架断裂支流提供补给。在次要通道中,我们发现了一条以前未曾报道过的通道,它穿过湾流为亚热带提供补给。
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引用次数: 0
Training Neural Mapping Schemes for Satellite Altimetry With Simulation Data 利用模拟数据训练卫星测高神经映射方案
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-09 DOI: 10.1029/2023MS003959
Q. Febvre, J. Le Sommer, C. Ubelmann, R. Fablet

Satellite altimetry combined with data assimilation and optimal interpolation schemes have deeply renewed our ability to monitor sea surface dynamics. Recently, deep learning schemes have emerged as appealing solutions to address space-time interpolation problems. However, the training of state-of-the-art neural schemes on real-world case-studies is hindered by the sparse space-time coverage of the sea surface of real altimetry data set. Here, we introduce an innovative approach that leverages state-of-the-art ocean models to train simulation-based neural schemes for the mapping of sea surface height and demonstrate their performance on real altimetry data sets. We analyze further how the ocean simulation data set used during the training phase impacts this performance. This experimental analysis covers both the resolution from eddy-present configurations to eddy-rich ones, forced simulations versus reanalyzes using data assimilation and tide-free versus tide-resolving simulations. Our benchmarking framework focuses on a Gulf Stream region for a realistic 5-altimeter constellation using NEMO ocean simulations and 4DVarNet mapping schemes. All simulation-based 4DVarNets outperform the operational observation-driven and reanalysis products, namely DUACS and GLORYS. The more realistic the ocean simulation data set used during the training phase, the better the mapping. The best 4DVarNet mapping was trained from an eddy-rich and tide-free simulation data sets. It improves the resolved longitudinal scale from 151 km for DUACS and 241 km for GLORYS to 98 km and reduces the root mean square error by 23% and 61%. These results open research avenues for new synergies between ocean modeling and ocean observation using learning-based approaches.

卫星测高与数据同化和优化插值方案相结合,大大更新了我们监测海面动态的能力。最近,深度学习方案已成为解决时空插值问题的有吸引力的解决方案。然而,由于真实测高数据集的海面时空覆盖范围稀疏,在实际案例研究中训练最先进的神经方案受到了阻碍。在此,我们介绍一种创新方法,利用最先进的海洋模型来训练基于模拟的神经方案,以绘制海面高度图,并在实际测高数据集上演示其性能。我们进一步分析了在训练阶段使用的海洋模拟数据集如何影响这一性能。该实验分析涵盖了从涡流存在配置到涡流丰富配置的分辨率、强迫模拟与使用数据同化的再分析以及无潮汐模拟与潮汐解析模拟。我们的基准框架侧重于湾流区域,使用 NEMO 海洋模拟和 4DVarNet 制图方案,对一个现实的 5 高分星座进行模拟。所有基于模拟的 4DVarNets 均优于业务观测驱动和再分析产品,即 DUACS 和 GLORYS。训练阶段使用的海洋模拟数据集越真实,映射效果就越好。最好的 4DVarNet 映射是通过富含涡流和无潮汐的模拟数据集训练出来的。它将解析的纵向尺度从 DUACS 的 151 千米和 GLORYS 的 241 千米提高到 98 千米,并将均方根误差分别降低了 23% 和 61%。这些成果为利用基于学习的方法在海洋建模和海洋观测之间实现新的协同作用开辟了研究途径。
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引用次数: 0
Vertical Structure and Energetic Constraints for a Backscatter Parameterization of Ocean Mesoscale Eddies 海洋中尺度涡后向散射参数化的垂直结构和能量约束
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-09 DOI: 10.1029/2023MS004093
Elizabeth Yankovsky, Scott Bachman, K. Shafer Smith, Laure Zanna

Mesoscale eddies modulate the stratification, mixing, tracer transport, and dissipation pathways of oceanic flows over a wide range of spatiotemporal scales. The parameterization of buoyancy and momentum fluxes associated with mesoscale eddies thus presents an evolving challenge for ocean modelers, particularly as modern climate models approach eddy-permitting resolutions. Here we present a parameterization targeting such resolutions through the use of a subgrid mesoscale eddy kinetic energy budget (MEKE) framework. Our study presents two novel insights: (a) both the potential and kinetic energy effects of eddies may be parameterized via a kinetic energy backscatter, with no Gent-McWilliams along-isopycnal transport; (b) a dominant factor in ensuring a physically-accurate backscatter is the vertical structure of the parameterized momentum fluxes. We present simulations of 1/2° and 1/4° resolution idealized models with backscatter applied to the equivalent barotropic mode. Remarkably, the global kinetic and potential energies, isopycnal structure, and vertical energy partitioning show significantly improved agreement with a 1/32° reference solution. Our work provides guidance on how to parameterize mesoscale eddy effects in the challenging eddy-permitting regime.

中尺度漩涡在很大的时空尺度上调节着洋流的分层、混合、示踪传输和消散途径。因此,与中尺度漩涡相关的浮力和动量通量的参数化给海洋建模人员带来了不断发展的挑战,特别是当现代气候模式接近允许漩涡的分辨率时。在此,我们通过使用子网格中尺度涡动能预算(MEKE)框架,提出了一种针对此类分辨率的参数化方法。我们的研究提出了两个新见解:(a)漩涡的势能和动能效应都可以通过动能反向散射进行参数化,而不需要 Gent-McWilliams 沿岸同向传输;(b)确保物理上准确的反向散射的主要因素是参数化动量通量的垂直结构。我们对分辨率为 1/2° 和 1/4° 的理想化模式进行了模拟,并将反向散射应用于等效的气压模式。值得注意的是,全局动能和势能、等距结构和垂直能量分配与 1/32° 参考方案的一致性有了显著提高。我们的工作为如何在具有挑战性的允许涡度机制中对中尺度涡度效应进行参数化提供了指导。
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引用次数: 0
To Exascale and Beyond—The Simple Cloud-Resolving E3SM Atmosphere Model (SCREAM), a Performance Portable Global Atmosphere Model for Cloud-Resolving Scales 向超大规模和更大规模迈进--简单云解析 E3SM 大气模型 (SCREAM),一种用于云解析尺度的高性能便携式全球大气模型
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-07 DOI: 10.1029/2024MS004314
A. S. Donahue, P. M. Caldwell, L. Bertagna, H. Beydoun, P. A. Bogenschutz, A. M. Bradley, T. C. Clevenger, J. Foucar, C. Golaz, O. Guba, W. Hannah, B. R. Hillman, J. N. Johnson, N. Keen, W. Lin, B. Singh, S. Sreepathi, M. A. Taylor, J. Tian, C. R. Terai, P. A. Ullrich, X. Yuan, Y. Zhang

The new generation of heterogeneous CPU/GPU computer systems offer much greater computational performance but are not yet widely used for climate modeling. One reason for this is that traditional climate models were written before GPUs were available and would require an extensive overhaul to run on these new machines. In addition, even conventional “high–resolution” simulations don't currently provide enough parallel work to keep GPUs busy, so the benefits of such overhaul would be limited for the types of simulations climate scientists are accustomed to. The vision of the Simple Cloud-Resolving Energy Exascale Earth System (E3SM) Atmosphere Model (SCREAM) project is to create a global atmospheric model with the architecture to efficiently use GPUs and horizontal resolution sufficient to fully take advantage of GPU parallelism. After 5 years of model development, SCREAM is finally ready for use. In this paper, we describe the design of this new code, its performance on both CPU and heterogeneous machines, and its ability to simulate real-world climate via a set of four 40 day simulations covering all 4 seasons of the year.

新一代异构 CPU/GPU 计算机系统具有更高的计算性能,但尚未广泛用于气候建模。其中一个原因是,传统的气候模型是在 GPU 出现之前编写的,要在这些新机器上运行,需要进行大修。此外,即使是传统的 "高分辨率 "模拟,目前也无法提供足够的并行工作来让 GPU 忙碌,因此对于气候科学家习惯的模拟类型来说,这种大修的好处是有限的。简单云解析能量超大规模地球系统(E3SM)大气模型(SCREAM)项目的愿景是创建一个全球大气模型,其架构能够有效利用 GPU,水平分辨率足以充分利用 GPU 的并行性。经过 5 年的模型开发,SCREAM 终于可以投入使用了。在本文中,我们将介绍这一新代码的设计、它在 CPU 和异构机器上的性能,以及它通过一组涵盖一年四季的 40 天模拟来模拟真实世界气候的能力。
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引用次数: 0
Evaluation of an In-Canopy Wind and Wind Adjustment Factor Model for Wildfire Spread Applications Across Scales 评估跨尺度野火蔓延应用中的树冠内风和风调整因子模型
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-05 DOI: 10.1029/2024MS004300
Wei-Ting Hung, Patrick C. Campbell, Zachary Moon, Rick Saylor, John Kochendorfer, Temple R. Lee, William Massman

The representation of vegetative sub-canopy wind is critical in numerical weather prediction (NWP) models for the determination of the air-surface exchange processes of heat, momentum, and trace gases. Because of the relationship between wind speed and fire behaviors, the influence of the canopy on near-surface wind speed is critical for prognostic fire spread models used in regional NWP models. In practice, the wind speed at the midflame point of fires (midflame wind speed) is used to determine the rate of fire spread. However, the wind speeds from most in situ measurements and NWP models are taken at some reference height above the canopy and fire flames. Hence, this study develops a modular and computationally-efficient one-dimensional model set composed of a canopy wind model and a wind adjustment factor (WAF) model for NWP applications across scales. The model set uses prescribed foliage shape functions to represent the vertical vegetation profile and its impacts on the three-dimensional structure of horizontal wind speeds. Results from the canopy wind model well agree with ground-based observations with average mean absolute bias, root mean square error and determination coefficients around 0.18 m s−1, 0.40 m s−1and 0.90, respectively. The WAF model provides midflame wind speeds by estimating the WAF based on canopy, fire and flame characteristics. Various user-definable options provide flexibility to adapt to variations in canopy characteristics and additional complexities associated with wildfires. The model set is expected to improve NWP models by providing an improved representation of the sub-grid wind flows at any spatial scale.

在数值天气预报(NWP)模型中,植被冠层下风的表示对于确定热量、动量和痕量气体的空地交换过程至关重要。由于风速与火灾行为之间的关系,冠层对近地面风速的影响对于区域 NWP 模型中使用的预报火灾蔓延模型至关重要。在实践中,火灾中燃点的风速(中燃风速)被用来确定火灾蔓延速度。然而,大多数现场测量和 NWP 模型中的风速都是在树冠和火焰上方的某个参考高度测量的。因此,本研究开发了一种模块化、计算效率高的一维模型集,由树冠风模型和风调整因子模型组成,适用于不同尺度的 NWP 应用。该模型集使用规定的叶形函数来表示垂直植被剖面及其对水平风速三维结构的影响。冠层风模型的结果与地面观测结果非常吻合,平均绝对偏差、均方根误差和判定系数分别约为 0.18 m s-1、0.40 m s-1 和 0.90。WAF 模型根据冠层、火和火焰特征估算 WAF,从而提供火焰中间风速。各种用户可定义的选项提供了灵活性,以适应树冠特征的变化和与野火相关的更多复杂性。预计该模型集可改进任何空间尺度的子网格风流,从而改进 NWP 模型。
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引用次数: 0
Effect of Uncertainty in Water Vapor Continuum Absorption on CO2 Forcing, Longwave Feedback, and Climate Sensitivity 水汽连续吸收的不确定性对二氧化碳强迫、长波反馈和气候敏感性的影响
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-03 DOI: 10.1029/2023MS004157
Florian E. Roemer, Stefan A. Buehler, Lukas Kluft, Robert Pincus

We investigate the effect of uncertainty in water vapor continuum absorption at terrestrial wavenumbers on CO2 forcing F $mathcal{F}$, longwave feedback λ, and climate sensitivity S $mathcal{S}$ at surface temperatures Ts between 270 and 330 K. We calculate this uncertainty using a line-by-line radiative-transfer model and a single-column atmospheric model, assuming a moist-adiabatic temperature lapse-rate and 80% relative humidity in the troposphere, an isothermal stratosphere, and clear skies. Due to the lack of a comprehensive model of continuum uncertainty, we represent continuum uncertainty in two different idealized approaches: In the first, we assume that the total continuum absorption is constrained at reference conditions; in the second, we assume that the total continuum absorption is constrained for all atmospheres in our model. In both approaches, we decrease the self continuum by 10% and adjust the foreign continuum accordingly. We find that continuum uncertainty mainly affects S $mathcal{S}$ through its effect on λ. In the first approach, continuum uncertainty mainly affects λ through a decrease in the total continuum absorption with Ts; in the second approach, continuum uncertainty affects λ through a vertical redistribution of continuum absorption. In both experiments, the effect of continuum uncertainty on S $mathcal{S}$ is modest at Ts = 288 K (≈0.02 K) but substantial at Ts ≥ 300 K (up to 0.2 K), because at high Ts, the effects of decreasing the self continuum and increasing the foreign continuum have the same sign. These results highlight the importance of a correct partitioning between self and foreign continuum to accurately determine the temperature dependence of Earth's climate sensitivity.

我们研究了地表温度Ts在270-330 K之间时,地面波数处水汽连续吸收的不确定性对二氧化碳强迫F $mathcal{F}$、长波反馈λ和气候敏感性S $mathcal{S}$的影响。我们使用逐行辐射传输模式和单柱大气模式计算了这种不确定性,假定对流层湿绝热温度失速和80%的相对湿度、等温平流层和晴朗的天空。由于缺乏连续不确定性的综合模型,我们用两种不同的理想化方法来表示连续不确定性:在第一种方法中,我们假定在参考条件下总的连续波吸收是受约束的;在第二种方法中,我们假定模型中所有大气层的总连续波吸收都是受约束的。在这两种方法中,我们都将自连续相减少了 10%,并相应地调整了外来连续相。我们发现,通量的不确定性主要通过对 λ 的影响来影响 S $mathcal{S}$ 。在第一种方法中,通量的不确定性主要通过通量吸收总量随 Ts 的减少来影响 λ;在第二种方法中,通量的不确定性通过通量吸收的垂直再分布来影响 λ。在这两种实验中,当 Ts = 288 K 时,连续波不确定性对 S $mathcal{S}$ 的影响不大(≈0.02 K),但当 Ts≥ 300 K 时,影响就很大了(高达 0.2 K),因为在高 Ts 时,减少自身连续波和增加外来连续波的影响具有相同的符号。这些结果突显了正确划分自连续和外连续对准确确定地球气候敏感性的温度依赖性的重要性。
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引用次数: 0
Learning Closed-Form Equations for Subgrid-Scale Closures From High-Fidelity Data: Promises and Challenges 从高保真数据中学习亚网格尺度闭合的闭式方程:前景与挑战
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2024-07-02 DOI: 10.1029/2023MS003874
Karan Jakhar, Yifei Guan, Rambod Mojgani, Ashesh Chattopadhyay, Pedram Hassanzadeh

There is growing interest in discovering interpretable, closed-form equations for subgrid-scale (SGS) closures/parameterizations of complex processes in Earth systems. Here, we apply a common equation-discovery technique with expansive libraries to learn closures from filtered direct numerical simulations of 2D turbulence and Rayleigh-Bénard convection (RBC). Across common filters (e.g., Gaussian, box), we robustly discover closures of the same form for momentum and heat fluxes. These closures depend on nonlinear combinations of gradients of filtered variables, with constants that are independent of the fluid/flow properties and only depend on filter type/size. We show that these closures are the nonlinear gradient model (NGM), which is derivable analytically using Taylor-series. Indeed, we suggest that with common (physics-free) equation-discovery algorithms, for many common systems/physics, discovered closures are consistent with the leading term of the Taylor-series (except when cutoff filters are used). Like previous studies, we find that large-eddy simulations with NGM closures are unstable, despite significant similarities between the true and NGM-predicted fluxes (correlations >0.95). We identify two shortcomings as reasons for these instabilities: in 2D, NGM produces zero kinetic energy transfer between resolved and subgrid scales, lacking both diffusion and backscattering. In RBC, potential energy backscattering is poorly predicted. Moreover, we show that SGS fluxes diagnosed from data, presumed the “truth” for discovery, depend on filtering procedures and are not unique. Accordingly, to learn accurate, stable closures in future work, we propose several ideas around using physics-informed libraries, loss functions, and metrics. These findings are relevant to closure modeling of any multi-scale system.

为地球系统复杂过程的亚网格尺度(SGS)闭合/参数化发现可解释的闭式方程的兴趣日益浓厚。在此,我们应用一种具有扩展性库的通用方程发现技术,从二维湍流和瑞利-贝纳德对流(RBC)的滤波直接数值模拟中学习闭式方程。通过常见的滤波器(如高斯滤波器、盒式滤波器),我们稳健地发现了动量和热通量的相同形式闭包。这些闭合取决于滤波变量梯度的非线性组合,其常数与流体/流动特性无关,仅取决于滤波类型/大小。我们证明,这些闭合是非线性梯度模型(NGM),可通过泰勒序列进行分析推导。事实上,我们认为,对于许多常见系统/物理,使用普通(无物理)方程发现算法,发现的闭合与泰勒序列的前导项一致(使用截止滤波器时除外)。与之前的研究一样,我们发现,尽管真实通量与 NGM 预测通量之间存在显著的相似性(相关性为 0.95),但 NGM 闭合的大涡度模拟并不稳定。我们发现造成这些不稳定的原因有两个:在二维模拟中,NGM 在解析尺度和子网格尺度之间产生的动能传递为零,缺乏扩散和反向散射。在 RBC 中,对势能反向散射的预测很差。此外,我们还表明,从数据中诊断出的 SGS 通量被假定为发现的 "真相",但它取决于过滤程序,并不是唯一的。因此,为了在未来的工作中学习准确、稳定的闭合,我们围绕使用物理信息库、损失函数和度量标准提出了一些想法。这些发现与任何多尺度系统的闭合建模都息息相关。
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Journal of Advances in Modeling Earth Systems
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