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Improving Solar Radiation Forecasts During Stratocumulus Conditions Using Large Eddy Simulations and an Ensemble Kalman Filter
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-26 DOI: 10.1029/2024MS004759
Marleen P. van Soest, Stephan R. de Roode, Remco A. Verzijlbergh, Femke C. Vossepoel, Harm J. J. Jonker

Forecasting solar radiation is critical for balancing the electricity grid due to increasing production from solar energy. To this end, we need precise simulation of clouds, which is traditionally done by numerical weather prediction. However, these large-scale (LS) models struggle especially with forecasting stratocumulus clouds because their coarse vertical resolution cannot capture the sharp inversion present at stratocumulus cloud top. To address this issue, we employ large eddy simulation (LES), which operates at high resolution and has demonstrated superior accuracy in simulating stratocumulus clouds. However, LES relies on input data from a LS model, which is imperfect. To reduce the uncertainty caused by the LS data, we integrate a single ensemble Kalman filter step at the start of simulation in the LES model, utilizing local observations. Our results show that this approach is computationally feasible, robust, and reduces prediction error at assimilation by 50%. The improvement diminishes after approximately 1 hour of simulation due to the influence of large-scale forcing. Future work will focus on enhancing the LS inflow through nested simulations with realistic lateral boundary conditions to sustain the improvements in forecasting accuracy.

{"title":"Improving Solar Radiation Forecasts During Stratocumulus Conditions Using Large Eddy Simulations and an Ensemble Kalman Filter","authors":"Marleen P. van Soest,&nbsp;Stephan R. de Roode,&nbsp;Remco A. Verzijlbergh,&nbsp;Femke C. Vossepoel,&nbsp;Harm J. J. Jonker","doi":"10.1029/2024MS004759","DOIUrl":"https://doi.org/10.1029/2024MS004759","url":null,"abstract":"<p>Forecasting solar radiation is critical for balancing the electricity grid due to increasing production from solar energy. To this end, we need precise simulation of clouds, which is traditionally done by numerical weather prediction. However, these large-scale (LS) models struggle especially with forecasting stratocumulus clouds because their coarse vertical resolution cannot capture the sharp inversion present at stratocumulus cloud top. To address this issue, we employ large eddy simulation (LES), which operates at high resolution and has demonstrated superior accuracy in simulating stratocumulus clouds. However, LES relies on input data from a LS model, which is imperfect. To reduce the uncertainty caused by the LS data, we integrate a single ensemble Kalman filter step at the start of simulation in the LES model, utilizing local observations. Our results show that this approach is computationally feasible, robust, and reduces prediction error at assimilation by 50%. The improvement diminishes after approximately 1 hour of simulation due to the influence of large-scale forcing. Future work will focus on enhancing the LS inflow through nested simulations with realistic lateral boundary conditions to sustain the improvements in forecasting accuracy.</p>","PeriodicalId":14881,"journal":{"name":"Journal of Advances in Modeling Earth Systems","volume":"17 4","pages":""},"PeriodicalIF":4.4,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1029/2024MS004759","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bayesian Source Identification With Dual Hierarchical Neural Networks for Urban Air Pollution
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-26 DOI: 10.1029/2024MS004790
Elissar Al Aawar, Sofien Resifi, Hatem Jebari, Ibrahim Hoteit

Identifying urban air pollution sources is essential for public health and environmental sustainability. In this study, we propose a novel hierarchical method for urban air pollution source identification, leveraging deep learning (DL) within an efficient Bayesian inference framework. We rely on observations in the form of two-dimensional (2D) pollutant concentration distributions, and adopt the Wasserstein W2 $left({W}_{2}right)$ distance to model the likelihood probability distribution. The hierarchical nature of the framework stems from the integration of two neural networks (NNs). The first one acts as an emulator that replicates the physical dispersion model to predict future pollution observations recursively over a defined timeframe. These predictions are then used as inputs for the second NN that approximates the W2 ${W}_{2}$ distance between predicted and observed pollutant concentration distributions to rapidly compute the likelihood probability. The approach adopts a multi-model strategy to mitigate the accumulation of errors, particularly those arising from the recursive prediction steps across multiple time intervals, ensuring the reliability of predictions over extended periods. The proposed framework is implemented on graphics processing units (GPUs), enabling scalable computations for real-world applications and rapid decision making. Through extensive numerical experiments, we demonstrate the suggested method's effectiveness in accurately estimating pollution source parameters, including location, emission rate, and duration, using synthetic observational data. Sensitivity analyses further explore the impact of observational horizons and sampling on solution convergence and accuracy. Numerical results demonstrate robust performances and computational efficiency compared to the conventional approach, particularly in scenarios with limited computational resources and observations availability.

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引用次数: 0
A Unified Framework to Reconcile Different Approaches of Modeling Transpiration Response to Water Stress: Plant Hydraulics, Supply Demand Balance, and Empirical Soil Water Stress Function
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-24 DOI: 10.1029/2023MS003911
Yi Yang, Kaiyu Guan, Bin Peng, Xue Feng, Xiangtao Xu, Ming Pan, Brandon P. Sloan, Jingwen Zhang, Wang Zhou, Lingcheng Li, Murugesu Sivapalan, Elizabeth A. Ainsworth, Kimberly A. Novick, Zong-Liang Yang, Sheng Wang

Plant responses to water stress is a major uncertainty to predicting terrestrial ecosystem sensitivity to drought. Different approaches have been developed to represent plant water stress. Empirical approaches (the empirical soil water stress (or Beta) function and the supply-demand balance scheme) have been widely used for many decades; more mechanistic based approaches, that is, plant hydraulic models (PHMs), were increasingly adopted in the past decade. However, the relationships between them—and their underlying connections to physical processes—are not sufficiently understood. This limited understanding hinders informed decisions on the necessary complexities needed for different applications, with empirical approaches being mechanistically insufficient, and PHMs often being too complex to constrain. Here we introduce a unified framework for modeling transpiration responses to water stress, within which we demonstrate that empirical approaches are special cases of the full PHM, when the plant hydraulic parameters satisfy certain conditions. We further evaluate their response differences and identify the associated physical processes. Finally, we propose a methodology for assessing the necessity of added complexities of the PHM under various climatic conditions and ecosystem types, with case studies in three typical ecosystems: a humid Midwestern cropland, a semi-arid evergreen needleleaf forest, and an arid grassland. Notably, Beta function overestimates transpiration when VPD is high due to its lack of constraints from hydraulic transport and is therefore insufficient in high VPD environments. With the unified framework, we envision researchers can better understand the mechanistic bases of and the relationships between different approaches and make more informed choices.

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引用次数: 0
Modeling Thermal and Biogeochemical Dynamics in Two Ponds Within Alaska's Yukon–Kuskokwim Delta: Impacts of Climatic Variability on Greenhouse Gas Fluxes
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-24 DOI: 10.1029/2024MS004441
A. L. Mullen, E. E. Jafarov, J. K. Y. Hung, K. Gurbanov, V. Stepanenko, B. M. Rogers, J. D. Watts, S. M. Natali, B. A. Poulin

Fluxes of carbon dioxide (CO2) and methane (CH4) from open water bodies are critical components of carbon-climate feedbacks in high latitudes. Processes governing the spatial and temporal variability of these aquatic greenhouse gas (GHG) fluxes are still highly uncertain due to limited observational data sets and lack of modeling studies incorporating comprehensive thermal and biochemical processes. This research investigates how slight variations in climate propagate through the biogeochemical cycles of ponds and resulting impacts on GHG emissions. We examine the thermal and biogeochemical dynamics of two ponds in the Yukon–Kuskokwim Delta, Alaska, under varying climatic conditions to study the impacts on CO2, CH4, and oxygen (O2) concentrations and fluxes. We performed multiple numerical experiments, using the LAKE process-based model and field measurements, to analyze how these ponds respond to variations in air temperature, shortwave radiation, and snow cover. Our study demonstrates that ice cover duration and water temperature are primary climatic drivers of GHG fluxes. Climate experiments led to reductions in ice cover duration and increased water temperatures, which subsequently enhanced CH4 and CO2 gas emissions from two study ponds. On average, cumulative CH4 and CO2 emissions were 5% and 10% higher, respectively, under increases in air temperature and shortwave radiation. Additionally, we uncovered a need to incorporate groundwater influxes of dissolved gases and nutrients in order to fully represent processes governing aquatic biochemical activity. Our work highlights the importance of understanding local-scale processes in predicting future Arctic contributions to GHG emissions.

{"title":"Modeling Thermal and Biogeochemical Dynamics in Two Ponds Within Alaska's Yukon–Kuskokwim Delta: Impacts of Climatic Variability on Greenhouse Gas Fluxes","authors":"A. L. Mullen,&nbsp;E. E. Jafarov,&nbsp;J. K. Y. Hung,&nbsp;K. Gurbanov,&nbsp;V. Stepanenko,&nbsp;B. M. Rogers,&nbsp;J. D. Watts,&nbsp;S. M. Natali,&nbsp;B. A. Poulin","doi":"10.1029/2024MS004441","DOIUrl":"https://doi.org/10.1029/2024MS004441","url":null,"abstract":"<p>Fluxes of carbon dioxide (CO<sub>2</sub>) and methane (CH<sub>4</sub>) from open water bodies are critical components of carbon-climate feedbacks in high latitudes. Processes governing the spatial and temporal variability of these aquatic greenhouse gas (GHG) fluxes are still highly uncertain due to limited observational data sets and lack of modeling studies incorporating comprehensive thermal and biochemical processes. This research investigates how slight variations in climate propagate through the biogeochemical cycles of ponds and resulting impacts on GHG emissions. We examine the thermal and biogeochemical dynamics of two ponds in the Yukon–Kuskokwim Delta, Alaska, under varying climatic conditions to study the impacts on CO<sub>2</sub>, CH<sub>4</sub>, and oxygen (O<sub>2</sub>) concentrations and fluxes. We performed multiple numerical experiments, using the LAKE process-based model and field measurements, to analyze how these ponds respond to variations in air temperature, shortwave radiation, and snow cover. Our study demonstrates that ice cover duration and water temperature are primary climatic drivers of GHG fluxes. Climate experiments led to reductions in ice cover duration and increased water temperatures, which subsequently enhanced CH<sub>4</sub> and CO<sub>2</sub> gas emissions from two study ponds. On average, cumulative CH<sub>4</sub> and CO<sub>2</sub> emissions were 5% and 10% higher, respectively, under increases in air temperature and shortwave radiation. Additionally, we uncovered a need to incorporate groundwater influxes of dissolved gases and nutrients in order to fully represent processes governing aquatic biochemical activity. Our work highlights the importance of understanding local-scale processes in predicting future Arctic contributions to GHG emissions.</p>","PeriodicalId":14881,"journal":{"name":"Journal of Advances in Modeling Earth Systems","volume":"17 4","pages":""},"PeriodicalIF":4.4,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1029/2024MS004441","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143865681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Langmuir Mixing Schemes Based on a Modified K-Profile Parameterization
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-23 DOI: 10.1029/2024MS004729
Peng Wang, James C. McWilliams, Jianguo Yuan, Jun-Hong Liang

Langmuir turbulence, a dominant process in the ocean surface boundary layer, drives substantial vertical mixing that influences temperature, salinity, mixed layer depth, and biogeochemical tracer distributions. While direct resolution of Langmuir turbulence in ocean and climate models remains computationally prohibitive, its effects are commonly parameterized, frequently within established turbulent mixing frameworks like the K-profile parameterization (KPP). This study utilizes a modified KPP that determines boundary layer depth through an integral criterion, diverging from the conventional KPP's dependence on the bulk Richardson number. The modified KPP demonstrates markedly lower sensitivity to model vertical resolution than its conventional counterpart. Building upon this modified KPP framework, we introduce an innovative parameterization scheme for Langmuir mixing effects. We evaluate the performance of this new scheme against existing approaches using a one-dimensional (1D) column model across four different scenarios, incorporating validation against both large eddy simulation (LES) results and field measurements. Our analysis reveals that the new Langmuir mixing scheme, explicitly designed for the modified KPP framework, performs competitively while maintaining reduced sensitivity to vertical resolution.

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引用次数: 0
Whole-Profile Soil Carbon Responses to Climate Change Modulated by Vertical Carbon Transport and Priming Effect Gradients
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-22 DOI: 10.1029/2024MS004670
Mingming Wang, Shuai Zhang, Lingzao Zeng, Zhongkui Luo

The vertical transport (VT) of soil organic carbon (SOC) mixes carbon pools of varying depth-origin and decomposability, regulating whole-profile SOC dynamics through altered carbon pool interactions, such as the priming effect (PE). However, quantifying this process in situ is challenging. Using global data sets on SOC stocks and carbon inputs, we trained a depth-resolved SOC model incorporating VT and PE to assess the vertical gradient of VT and PE, and explore their roles in regulating whole-profile SOC dynamics in response to climate change. The results indicate that VT-induced redistribution of SOC is essential for capturing observed profile distribution of SOC stocks. Transported carbon from neighboring layers accounted for 8%–27% of total layer-specific carbon inputs, varying by depth and ecosystem type, and regulated SOC turnover behavior via the PE, especially in deeper layers. Precipitation emerged as the most important factor influencing layer-specific VT. While the PE was higher in upper layers, it was far from its maximum potential in deeper layers, making SOC dynamics in these layers more sensitive to carbon input changes. If VT and PE gradients are not considered, the sensitivity of whole-profile SOC to warming will be underestimated, and the impact of carbon input changes will be overestimated, particularly in deeper layers. Our findings highlight the critical role of VT and PE in controlling whole-profile SOC dynamics, underscoring the need to explicitly include these processes in Earth system models for reliable whole-profile SOC predictions under climate change.

土壤有机碳(SOC)的垂直传输(VT)混合了不同深度来源和可分解性的碳库,通过改变碳库之间的相互作用(如启动效应(PE))来调节整个剖面的 SOC 动态。然而,对这一过程进行现场量化具有挑战性。利用 SOC 储量和碳输入的全球数据集,我们训练了一个包含 VT 和 PE 的深度分辨 SOC 模型,以评估 VT 和 PE 的垂直梯度,并探索它们在调节整个剖面 SOC 动态以应对气候变化中的作用。结果表明,VT 诱导的 SOC 再分布对于捕捉观察到的 SOC 储量剖面分布至关重要。从邻近地层迁移的碳占地层特定碳输入总量的 8%-27%,因深度和生态系统类型而异,并通过 PE 调节 SOC 的周转行为,尤其是在较深地层。降水是影响特定层 VT 的最重要因素。虽然上层的 PE 值较高,但深层的 PE 值远未达到其最大潜能值,因此这些层中的 SOC 动态对碳输入的变化更为敏感。如果不考虑VT和PE梯度,整个剖面SOC对气候变暖的敏感性将被低估,碳输入变化的影响将被高估,尤其是在深层。我们的研究结果强调了VT和PE在控制整个剖面SOC动态中的关键作用,强调了在地球系统模型中明确包括这些过程的必要性,以便对气候变化下的整个剖面SOC进行可靠的预测。
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引用次数: 0
Implementation of Sub-Grid Scale Temperature Perturbations Induced by Non-Orographic Gravity Waves in WACCM6
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-21 DOI: 10.1029/2024MS004625
Simchan Yook, Susan Solomon, Michael Weimer, Douglas E. Kinnison, Rolando Garcia, Kane Stone

Atmospheric gravity waves can play a significant role on atmospheric chemistry through temperature fluctuations. A recent modeling study introduced a method to implement subgrid-scale orographic gravity-wave-induced temperature perturbations in the Whole Atmosphere Community Climate Model (WACCM). The model with a wave-induced temperature parameterization was able to reproduce for example, the influence of mountain wave events on atmospheric chemistry, as highlighted in previous literature. Here we extend the subgrid-scale wave-induced temperature parameterization to also include non-orographic gravity waves arising from frontal activity and convection. We explore the impact of these waves on middle atmosphere chemistry, particularly focusing on reactions that are strongly sensitive to temperature. The non-orographic gravity waves increase the variability of chemical reaction rates, especially in the lower mesosphere. As an example, we show that this, in turn, leads to increases in the daytime ozone variability. To demonstrate another impact, we briefly investigate the role of non-orographic gravity waves in cirrus cloud formation in this model. Consistent with findings from the previous study focusing on orographic gravity waves, non-orographic waves also enhance homogeneous nucleation and increase cirrus clouds. The updated method used enables the global chemistry-climate model to account for both orographic and non-orographic gravity-wave-induced subgrid-scale dynamical perturbations in a consistent manner.

大气重力波可以通过温度波动对大气化学起重要作用。最近的一项建模研究引入了一种方法,在全大气社区气候模式(WACCM)中实现亚网格尺度的地心引力波引起的温度扰动。该模式具有波引起的温度参数化,能够重现山地波事件对大气化学的影响等,这在以前的文献中已有强调。在这里,我们扩展了亚网格尺度波浪诱导温度参数化,将锋面活动和对流引起的非地形重力波也包括在内。我们探讨了这些波对中层大气化学的影响,特别是对温度非常敏感的反应。非地心引力波增加了化学反应速率的变异性,尤其是在低层中间层。我们举例说明,这反过来又会导致白天臭氧变化的增加。为了证明另一种影响,我们简要研究了非地心引力波在该模式下卷云形成中的作用。与之前以风向重力波为重点的研究结果一致,非风向重力波也会增强同质成核,并增加卷云。所使用的更新方法使全球化学-气候模式能够以一致的方式解释风向重力波和非风向重力波引起的亚网格尺度动态扰动。
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引用次数: 0
A Two-Dimensional Model for Eddy Saturation and Frictional Control in the Southern Ocean
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-21 DOI: 10.1029/2024MS004682
J. R. Maddison, D. P. Marshall, J. Mak, K. Maurer-Song

The reduced sensitivity of mean Southern Ocean zonal transport with respect to surface wind stress magnitude changes, known as eddy saturation, is studied in an idealized analytical model. The model is based on the assumption of a balance between surface wind stress forcing and bottom dissipation in the planetary geostrophic limit, coupled to the GEOMETRIC form of the Gent–McWilliams eddy parameterization. The assumption of a linear stratification, together with an equation for the parameterized domain integrated total eddy energy, enables the formulation of a two component dynamical system, which reduces to the non-linear oscillator of Ambaum and Novak (2014, https://doi.org/10.1002/qj.2352) in a Hamiltonian limit. The model suggests an intrinsic oscillatory time scale for the Southern Ocean, associated with a combination of mean shear erosion by eddies and eddy energy generation by the mean shear. For Southern Ocean parameters the model suggests that perturbing the system via stochastic wind forcing may lead to relatively large excursions in eddy energy.

在一个理想化的分析模型中,研究了南大洋平均带状传输对表面风应力大小变化的敏感性降低的问题,即涡度饱和。该模式基于在行星地转极限中表面风应力强迫和海底耗散之间的平衡假设,并与 Gent-McWilliams 涡参数化的 GEOMETRIC 形式相结合。线性分层的假设,加上参数化域综合总涡旋能量方程,使我们能够提出一个双组分动力系统,并在汉密尔顿极限中将其简化为 Ambaum 和 Novak 的非线性振荡器(2014 年,https://doi.org/10.1002/qj.2352)。该模型提出了南大洋的固有振荡时间尺度,与平均剪切力对涡流的侵蚀和平均剪切力产生的涡流能量相结合有关。对于南大洋参数,该模型表明,通过随机风力扰动系统可能会导致相对较大的涡旋能量偏移。
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引用次数: 0
Future Trends of Global Agricultural Emissions of Ammonia in a Changing Climate
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-21 DOI: 10.1029/2023MS004186
M. Beaudor, N. Vuichard, J. Lathière, D. A. Hauglustaine
<p>Because of human population growth and changes in diet, global livestock and associated ammonia <span></span><math> <semantics> <mrow> <mfenced> <mrow> <mi>N</mi> <msub> <mi>H</mi> <mn>3</mn> </msub> </mrow> </mfenced> </mrow> <annotation> $left(mathrm{N}{mathrm{H}}_{mathrm{3}}right)$</annotation> </semantics></math>, emissions are projected to increase through the end of the century, with possible impacts on atmospheric chemistry and climate. In this study, we propose a methodology to project global gridded livestock densities and <span></span><math> <semantics> <mrow> <mi>N</mi> <msub> <mi>H</mi> <mn>3</mn> </msub> </mrow> <annotation> $mathrm{N}{mathrm{H}}_{mathrm{3}}$</annotation> </semantics></math> emissions from agriculture until 2100. Based on a downscaling method, future livestock distribution has been estimated until 2100 for three Shared Socio-economic Pathways (SSP2-4.5, SSP4-3.4, and SSP5-8.5) and used in a global process-based model (Calculation of AMmonia Emissions in ORCHIDEE, CAMEO) to estimate agricultural ammonia emissions during the 21st century. Emissions under SSP4-3.4 and SSP5-8.5 calculated by CAMEO compare well with the range estimated by the Integrated Assessment Models (IAM; 50 to 66 <span></span><math> <semantics> <mrow> <mi>T</mi> <mi>g</mi> <mi>N</mi> <mo>.</mo> <mi>y</mi> <msup> <mi>r</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> <annotation> $mathrm{T}mathrm{g}mathrm{N}.mathrm{y}{mathrm{r}}^{-mathrm{1}}$</annotation> </semantics></math>) in the framework of the Phase 6 of the Coupled Model Intercomparison Project (CMIP6). Some opposite trends arise under SSP2.4-5 where CAMEO emissions increase consistently in response to the increasing trends in synthetic fertilizer use under this scenario. Africa is identified as the most emitting region worldwide, with <span></span><math> <semantics> <mrow> <mi>N</mi> <msub> <mi>H</mi> <mn>3</mn> </msub> </mrow> <annotation> $mathrm{N}{ma
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引用次数: 0
Exploring Baroclinic Instability of the Computational Kind (BICK) in Numerical Simulations of the Ocean
IF 4.4 2区 地球科学 Q1 METEOROLOGY & ATMOSPHERIC SCIENCES Pub Date : 2025-04-21 DOI: 10.1029/2024MS004600
Claire Ménesguen, Nicolas Ducousso, Clément Vic, Sylvie Le Gentil
<p>Primitive-equation models are essential tools for studying ocean dynamics and their ever-increasing resolution uncovers ever finer scales. At mesoscales and submesoscales, baroclinic instability is one of the main drivers of turbulence, but spurious numerical instabilities can also arise, leading to nonphysical dynamics. This study investigates a spurious instability termed Baroclinic Instability of Computational Kind (BICK), discovered in Arakawa and Moorthi (1988, https://doi.org/10.1175/1520-0469(1988)045<1688:BIIVDS>2.0.CO;2) and Bell and White (2017, https://doi.org/10.1016/j.ocemod.2017.08.001), through idealized configurations using a vertical (Modified) Lorenz grid. Here, we explore the growth of BICK within quasi-geostrophic (QG) and hydrostatic primitive-equation (HPE) frameworks for different setups: the canonical Eady configuration, stratification-modified Eady configurations, and a surface-intensified jet configuration. Our results confirm that the emergence of BICK is specific to the vertical staggering of the (Modified) Lorenz grids. Its growth is consistent with linear QG theory, and BICK is confined near the surface and bottom boundaries. In HPE simulations, the nonlinear evolution of BICK generates small-scale spurious eddies and reduces frontal sharpness. Increasing the number of levels reduces BICK's horizontal scale down to below the model's effective resolution. We illustrate this property using regional HPE simulations with a varying number of levels. BICK is found to significantly affect the vertically under-resolved simulations by introducing small-scale noise from both the bottom and surface boundaries. Our recommendation is to keep the ratio between the model horizontal <span></span><math> <semantics> <mrow> <mo>(</mo> <mrow> <mi>δ</mi> <mi>x</mi> </mrow> <mo>)</mo> </mrow> <annotation> $(delta x)$</annotation> </semantics></math> and vertical <span></span><math> <semantics> <mrow> <mo>(</mo> <mrow> <mi>δ</mi> <mi>z</mi> </mrow> <mo>)</mo> </mrow> <annotation> $(delta z)$</annotation> </semantics></math> resolution greater than <span></span><math> <semantics> <mrow> <mn>2</mn> <mi>N</mi> <mo>/</mo> <mi>f</mi> </mrow> <annotation> $2N/f$</annotation> </semantics></math>, where <span></span><math> <semantics> <mrow> <mi>N</mi> </mrow> <
原始方程模型是研究海洋动力学的重要工具,其分辨率的不断提高揭示了更精细的尺度。在中尺度和亚中尺度,巴氏不稳定性是湍流的主要驱动力之一,但也可能出现虚假的数值不稳定性,导致非物理动力学。本研究通过使用垂直(修正)洛伦兹网格的理想化配置,研究了 Arakawa 和 Moorthi(1988,https://doi.org/10.1175/1520-0469(1988)045<1688:BIIVDS>2.0.CO;2)以及 Bell 和 White(2017,https://doi.org/10.1016/j.ocemod.2017.08.001)发现的称为 "计算类型的巴氏不稳定性(BICK)"的虚假不稳定性。在此,我们探讨了准地养(QG)和流体静力学原始方程(HPE)框架内不同设置下 BICK 的增长情况:典型的 Eady 配置、分层修正的 Eady 配置和表面强化的喷流配置。我们的结果证实,BICK 的出现与(修正)洛伦兹网格的垂直交错有关。其增长与线性 QG 理论一致,并且 BICK 被限制在表面和底部边界附近。在 HPE 模拟中,BICK 的非线性演变会产生小尺度的虚假涡流,并降低锋面的锐度。增加层数可将 BICK 的水平尺度减小到低于模型的有效分辨率。我们使用不同层数的区域 HPE 模拟来说明这一特性。我们发现,BICK 通过引入来自底部和表面边界的小尺度噪声,严重影响了垂直方向的低分辨率模拟。我们的建议是保持模型水平 ( δ x ) $(delta x)$ 和垂直 ( δ z ) $(delta z)$ 分辨率之间的比率大于 2 N / f $2N/f$ ,其中 N $N$ 是 Brunt-Väisälä 频率,f $f$ 是科里奥利参数,以尽量减少 BICK 对动力学的影响。
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