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Spurious internal wave generation during data assimilation in eddy resolving ocean model simulations 涡解析海洋模型模拟数据同化过程中产生的杂散内波
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-10 DOI: 10.1016/j.ocemod.2024.102340
Keshav J. Raja , Maarten C. Buijsman , Alexandra Bozec , Robert W. Helber , Jay F. Shriver , Alan Wallcraft , Eric P. Chassignet , Brian K. Arbic

Data assimilation (DA) combines observational data and the dynamical ocean model to forecast the ocean state in a matter that is not possible from either observations or models by themselves. However, the incorporation of data-derived corrections into the model introduces the potential to disrupt the dynamical balance of the model state, leading to initialization shocks. These shocks arise as the model undergoes a process of adjustment to restore the perturbed dynamic balance, involving the generation of spurious near-inertial motions. Notably, the US Navy’s global ocean forecast system strives to mitigate these issues through the implementation of the Incremental Analysis Update (IAU) method, distributing the DA corrections to the model state across a specified time window (3 h in the operational system). Our study shows that, despite the implementation of this 3 h IAU period, the initialization shocks still persist in the model analysis fields. We find that during DA updates, spurious internal waves are generated that are in a broad near-inertial frequency range and propagate long distances from their generation sites in the form of low-mode near-inertial waves. The depth-integrated, time-mean near-inertial kinetic energy in a simulation with DA is 68% higher than in a corresponding forward simulation (free-run, without DA) of the simulation with the same surface wind forcing. The presence of these spurious near-inertial waves disrupts the ocean model energetics, and minimizing them is crucial for using the assimilative model simulations to study small scale/high-frequency ocean dynamics. We also examine a possible way to minimize the spurious internal waves by extending the IAU period in numerical experiments using regional model simulations. We demonstrate that the generation of spurious near-inertial waves can be minimized if we insert increments of smaller magnitude at each time step during the update, which can be achieved by extending the IAU period. Our findings indicate that in simulations with a 24 h IAU period, the variance of near-inertial kinetic energy between the assimilative and forward simulations is reduced to approximately 1%.

数据同化(DA)将观测数据和海洋动力学模式结合起来,对海洋状态进行预报,这是观测数据或模式本身无法做到的。然而,将数据修正纳入模式有可能破坏模式状态的动态平衡,导致初始化冲击。这些冲击产生于模型为恢复被扰动的动态平衡而进行的调整过程,包括产生虚假的近惯性运动。值得注意的是,美国海军的全球海洋预报系统努力通过实施增量分析更新(IAU)方法来缓解这些问题,将对模型状态的DA修正分配到一个指定的时间窗口(在业务系统中为3小时)。我们的研究表明,尽管实施了这 3 小时的增量分析更新,初始化冲击在模式分析场中仍然存在。我们发现,在DA更新过程中,会产生杂散内波,这些杂散内波的近惯性频率范围很宽,并以低模近惯性波的形式从其产生点向远处传播。在相同的海面风力作用下,有近惯性波更新的模拟的深度积分时间平均近惯性动能比相应的正演模拟(自由运行,无近惯性波更新)高出 68%。这些虚假近惯性波的存在扰乱了海洋模式的能量学,而将其最小化对于利用同化模式模拟研究小尺度/高频海洋动力学至关重要。我们还利用区域模型模拟,在数值实验中研究了通过延长 IAU 周期来最小化杂散内波的可行方法。我们证明,如果在更新过程中的每个时间步插入幅度较小的增量,就可以最大限度地减少产生虚假的近惯性波,而这可以通过延长 IAU 周期来实现。我们的研究结果表明,在 IAU 周期为 24 小时的模拟中,同化模拟和前向模拟之间的近惯性动能差异降低到约 1%。
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引用次数: 0
A simple and transparent method for improving the energetics and thermodynamics of seawater approximations: Static energy asymptotics (SEA) 改进海水近似能量和热力学的简单而透明的方法:静态能量渐近法(SEA)
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-09 DOI: 10.1016/j.ocemod.2024.102339
Rémi Tailleux , Thomas Dubos

The static energy encodes all possible information about the thermodynamics and potential energy (and all related forces) of stratified geophysical fluids. In this paper, we develop a systematic methodology, called static energy asymptotics, that exploits this property for constructing energetically and thermodynamically consistent sound-proof approximations of the equations of motion. By approximating the static energy to various orders of accuracy, two main families of approximations are (re-)derived and discussed: the pseudo-incompressible (PI) approximation and the anelastic (AN) approximation. For all approximations, the background and available potential energies (in Lorenz sense) can be constructed to match their exact counterparts as closely as feasible and to be expressible in terms of the exact (as opposed to ad-hoc) thermodynamic potentials. For hydrostatic motions, the AN approximation (of which the Boussinesq approximation is a special case) has the same structure as that of legacy Seawater Boussinesq primitive equations. The energetics of such models could therefore be made transparently traceable to that of the full Navier–Stokes equations at little to no additional cost, thus allowing them to take full advantage of the Gibbs Sea Water (GSW) library developed as part of the new thermodynamic standard for seawater TEOS-10.

静态能量包含了分层地球物理流体的热力学和势能(以及所有相关力)的所有可能信息。在本文中,我们开发了一种称为静态能量渐近的系统方法,利用这一特性构建能量和热力学一致的运动方程近似。通过对静态能量进行不同精度的近似,(重新)推导并讨论了两大近似系列:伪不可压缩(PI)近似和无弹性(AN)近似。对于所有近似方法,背景能量和可用势能(洛伦兹意义上的)都可以尽可能地与精确的对应能量相匹配,并且可以用精确的(而不是临时的)热力学势能来表示。对于静水运动,AN 近似(布西内斯克近似是其特例)与传统的海水布西内斯克原始方程具有相同的结构。因此,这些模型的能量学可以透明地追溯到完整的纳维-斯托克斯方程,几乎不需要额外费用,从而可以充分利用作为新的海水热力学标准 TEOS-10 的一部分而开发的吉布斯海水(GSW)库。
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引用次数: 0
Tidal effects on dynamics and freshwater transport of a medium-scale river plume with multiple outlets 潮汐对多出口中尺度河流羽流动力学和淡水输送的影响
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-08 DOI: 10.1016/j.ocemod.2024.102338
Xiaolong Zong , Xuan Cheng , Shuwen Zhang , Qiang Lian , Fangjing Deng , Zhaoyun Chen

Tides play a crucial role in regulating the dispersal and dynamics of a river plume. However, the impact of tides on the dynamics and transport of freshwater in a medium-scale river plume, particularly with multiple outlets, is still not well understood. Using the Hanjiang River Plume in the northern South China Sea as an example, we analyze the momentum and volume of the plume based on salinity space. We also investigate the effects of tidal advection and tidal mixing. Tidal advection propels plume water from the bulge downstream, resulting in a plume type with intermediate surface-advected and bottom-advected characteristics. Tidal mixing causes the plume to come into contact with the seafloor, leading to bottom-advected plumes. Tidal advection leads to the accumulation of plume water in high salinity space, while tidal mixing mitigates this effect, as the plume water near the estuary with relatively low salinity is effectively mixed. In the absence of tidal forcing, vertical shear is the main contributor to the total freshwater flux. However, when tidal effects are taken into account, the contribution of vertical shear to the total freshwater flux decreases and becomes comparable to the advection term. The downstream buoyant flow is primarily controlled by geostrophic balance. The barotropic current carries freshwater downstream, overpowering the upstream transport by the baroclinic current, resulting in a net downstream freshwater transport. Tidal advection enhances this downstream freshwater transport, while tidal mixing has the opposite effect.

潮汐在调节河流羽流的扩散和动态方面起着至关重要的作用。然而,潮汐对中尺度河流羽流(尤其是多出口河流羽流)中淡水的动态和输送的影响还不十分清楚。我们以南海北部的汉江河羽为例,分析了基于盐度空间的河羽动量和体积。我们还研究了潮汐平流和潮汐混合的影响。潮汐平流推动羽流水从隆起处向下流动,形成了介于表层平流和底层平流之间的羽流类型。潮汐混合会导致羽流与海底接触,从而形成底部对流羽流。潮汐平流导致羽流水在高盐度空间积聚,而潮汐混合则减轻了这种影响,因为河口附近盐度相对较低的羽流水得到了有效混合。在没有潮汐作用的情况下,垂直切变是淡水总通量的主要来源。然而,当考虑到潮汐效应时,垂直切变对淡水总通量的贡献会减小,变得与平流项相当。下游浮力流主要受地转平衡控制。沿气压方向的海流将淡水向下游输送,压倒沿气压方向的海流向上游输送,从而形成下游淡水净输送。潮汐平流加强了淡水的下游输送,而潮汐混合则产生相反的效果。
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引用次数: 0
Dispersion diagrams of linear damped waves on the equatorial beta plane 赤道贝塔面上线性阻尼波的频散图
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-02 DOI: 10.1016/j.ocemod.2024.102336
P. Amol , D. Shankar

The linear equations of motion are solved to obtain dispersion diagrams with Rayleigh friction (γu) and Laplacian friction (νxxu), the latter being solved numerically. Laplacian friction is more efficient at eliminating the short-wavelength Rossby waves, whereas Rayleigh friction is more effective at dissipating long-wavelength Rossby waves. For Rayleigh friction, short-wavelength Rossby waves do not exist at periods longer than the damping time scale (1/γ); for Laplacian friction, they do not exist for wavenumbers less than 3/(2ν3). For both damping forms, the imaginary wavenumber (ki) no longer separates the upper branch (gravity waves) from the lower branch (Rossby waves) of the real wavenumber (kr), and the waves are damped at all frequencies. The two solutions of kr do not overlap, and for Rayleigh damping, they meet at 0.5γ2, which roughly corresponds to 13.7 days for very low friction. For very high Rayleigh damping, which is an unrealistic scenario, only gravity waves exist in the dispersion diagram. The consequence of adding friction, even if negligible, is that the discontinuity evident in the inviscid solution at the critical latitude no longer holds, or the critical latitude ceases to exist.

通过对线性运动方程的求解,得到了具有瑞利摩擦力(-γu)和拉普拉斯摩擦力(ν∂xxu)的弥散图,后者是通过数值求解得到的。拉普拉斯摩擦能更有效地消除短波长的罗斯比波,而瑞利摩擦则能更有效地消散长波长的罗斯比波。对于瑞利摩擦,短波罗斯比波在周期大于阻尼时间尺度(1/γ)时不存在;对于拉普拉斯摩擦,短波罗斯比波在波长小于 3/(2ν3) 时不存在。对于这两种阻尼形式,虚波数(ki)不再分隔实波数(kr)的上分支(重力波)和下分支(罗斯比波),波在所有频率上都受到阻尼。kr 的两个解并不重叠,对于雷利阻尼,它们在 0.5-γ2 处相遇,这大致相当于极低摩擦力时的∼13.7 天。在雷利阻尼很高的情况下(这是一种不现实的情况),弥散图中只存在重力波。增加摩擦力(即使可以忽略不计)的后果是,临界纬度处的无粘性解中明显的不连续性不再成立,或者临界纬度不复存在。
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引用次数: 0
Predicting temporal and spatial 4-D ocean temperature using satellite data based on a novel deep learning model 基于新型深度学习模型,利用卫星数据预测时空四维海洋温度
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-02 DOI: 10.1016/j.ocemod.2024.102333
Yuliang Liu , Lin Zhang , Wei Hao , Lu Zhang , Limin Huang

The prediction of ocean temperature using sea surface data is crucial for studying ocean-related events and climate change. However, current temperature predictions mainly focus on surface data and rarely consider the temporal relationship of ocean temperature. In this study, we propose a novel deep-learning model to predict ocean temperature for the next two months, which fully considers both temporal and spatial features. The input consists of satellite remote sensing data from the past month, including weekly sea surface temperature, salinity, height, and velocity. The model consists of four modules: convolutional, attention, residual, and transposed convolutional. We compare the model estimation with reanalysis data and conduct temporal, spatial, and vertical distribution analyses. The results demonstrate that the model can accurately predict ocean temperature at different lead time, depths, and locations. Finally, we compare the predicted temperature with actual sea observations to ensure the model's good performance in practical applications. This study shows the tremendous potential of the proposed model in predicting 4-D ocean temperature, providing powerful data support for ocean-related events and climate change research.

利用海面数据预测海洋温度对研究海洋相关事件和气候变化至关重要。然而,目前的温度预测主要集中在海面数据上,很少考虑海洋温度的时间关系。在本研究中,我们提出了一种新的深度学习模型来预测未来两个月的海洋温度,该模型充分考虑了时间和空间特征。输入由过去一个月的卫星遥感数据组成,包括每周的海面温度、盐度、高度和速度。模型由四个模块组成:卷积模块、注意模块、残差模块和转置卷积模块。我们将模型估计结果与再分析数据进行了比较,并进行了时间、空间和垂直分布分析。结果表明,该模型可以准确预测不同时间、深度和地点的海洋温度。最后,我们将预测温度与实际海洋观测数据进行了比较,以确保模型在实际应用中的良好性能。这项研究显示了所提出的模型在预测四维海洋温度方面的巨大潜力,为海洋相关事件和气候变化研究提供了有力的数据支持。
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引用次数: 0
Bias correction of operational storm surge forecasts using Neural Networks 利用神经网络纠正风暴潮实况预报的偏差
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-01 DOI: 10.1016/j.ocemod.2024.102334
Paulina Tedesco , Jean Rabault , Martin Lilleeng Sætra , Nils Melsom Kristensen , Ole Johan Aarnes , Øyvind Breivik , Cecilie Mauritzen , Øyvind Sætra

Storm surges can give rise to extreme floods in coastal areas. The Norwegian Meteorological Institute (MET Norway) produces 120 h regional operational storm surge forecasts along the coast of Norway based on the Regional Ocean Modeling System (ROMS), using a model setup called Nordic4-SS. Despite advances in the development of models and computational capabilities, forecast errors remain large enough to impact response measures and issued alerts, in particular, during the strongest storm events. Reducing these errors will positively impact the efficiency of the warning systems while minimizing efforts and resources. Here, we investigate how forecasts can be improved with residual learning, i.e., training data-driven models to predict the residuals in forecasts from Nordic4-SS. A simple error mapping technique and a more sophisticated Neural Network (NN) method are tested. The simple error mapping technique provides a reduction in the Root Mean Square Error (RMSE) of less than 4%. Using the NN residual correction method, the RMSE in the Oslo Fjord is reduced by 36% for lead times of one hour, 9% for 24 h, and 5% for 60 h. Therefore, the residual NN method is a promising direction for correcting storm surge forecasts, especially on short timescales. Moreover, it is well adapted to being deployed operationally, as (i) the correction is applied on top of the existing model and requires no changes to it, (ii) all predictors used for NN inference are already available operationally, (iii) prediction by the NNs is very fast, typically a few seconds per station, and (iv) the NN correction can be provided to a human expert who may inspect it, compare it with the model output, and see how much correction is brought by the NN, allowing to capitalize on human expertise as a quality validation of the NN output. While no changes to the hydrodynamic model are necessary to calibrate the neural networks, they are specific to a given model and must be recalibrated when the numerical models are updated.

风暴潮可导致沿海地区发生特大洪水。挪威气象研究所(MET Norway)根据区域海洋模拟系统(ROMS),利用名为 Nordic4-SS 的模型设置,对挪威沿海地区进行 120 小时的区域风暴潮业务预报。尽管在开发模型和计算能力方面取得了进展,但预报误差仍然很大,足以影响应对措施和发布警报,特别是在最强烈的风暴事件期间。减少这些误差将对预警系统的效率产生积极影响,同时最大限度地减少用于减灾的努力和资源。在此,我们研究了如何通过残差学习(即训练数据驱动模型来预测 Nordic4-SS 预报中的残差)来改进预报。我们测试了一种简单的误差映射技术和一种更复杂的神经网络(NN)方法。简单的误差映射技术可将均方根误差 (RMSE) 降低到 4% 以下。因此,残差 NN 方法是修正风暴潮预报的一个很有前途的方向,尤其是在短时尺度上。此外,该方法非常适合实际应用,因为:(i) 修正是在现有模型的基础上进行的,无需对其进行任何改动;(ii) 用于 NN 推理的所有预测因子都已在实际应用中可用;(iii) NN 的预测速度非常快,通常每个站点只需几秒钟;(iv) NN 修正结果可以提供给人类专家,他们可以对其进行检查,将其与模型输出结果进行比较,并查看 NN 带来的修正程度,从而利用人类专家的专业知识对 NN 输出结果进行质量验证。虽然校准神经网络不需要更改流体力学模型,但神经网络是特定模型所特有的,必须在数值模型更新时重新校准。
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引用次数: 0
CODAR data assimilation into an integrated ocean forecasting system for the Brazilian Southeastern coast 将 CODAR 数据同化到巴西东南沿海综合海洋预报系统中
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-01 DOI: 10.1016/j.ocemod.2024.102331
Raquel Toste , Carina Stefoni Böck , Maurício Soares da Silva , Nilton Oliveira Moraes , Anderson Elias Soares , Douglas Medeiros Nehme , Luiz Paulo de Freitas Assad , Luiz Landau , Fernando Barreto , Carlos Leandro da Silva Júnior

Near real-time surface current measurements from shore-based high-frequency (HF) radars have increasingly proved to be an essential observation for ocean data assimilation (DA) into operational forecasting systems. For the first time in Brazil, a high-resolution operational system was developed assimilating HF ocean currents data. The system comprises a well known ocean model, the Regional Ocean Modeling System (ROMS), applied to the Southeastern Brazilian shelf and oceanic regions. The ROMS Restricted B-preconditioned Lanczos 4D-variational DA method is employed using real-time coastal radar, remote sensing, and in situ observations, and the DA solution is used as initial fields to produce hourly forecasts for the next two days. The performance of the system in providing accurate forecasts by using this source of initial condition (IC) was evaluated in an experiment in which multiple sources of IC were used. In situ and remote sensing data were used to assess the quality of predictions obtained in the forecasting experiments. The results indicate that the employed DA technique significantly reduced the misfit between model and assimilated observations, leading to improved forecast results. By using this IC, the system was capable to provide forecasts with errors reduced by up to 85%, 14%, and 12%, respectively for sea surface temperature, velocities, and heights, compared to forecasts based on global models. The system was also able to accurately predict the positioning and intensity of the Brazil Current flow and its spatiotemporal variability along the studied region.

从岸基高频(HF)雷达获得的近实时海面洋流测量数据越来越多地被证明是海洋数据同化(DA)业务预报系统的重要观测数据。巴西首次开发了高分辨率业务系统,将高频海流数据同化。该系统包括一个著名的海洋模式,即区域海洋模拟系统(ROMS),应用于巴西东南部陆架和大洋区域。利用实时沿岸雷达、遥感和现场观测资料,采用 ROMS 限制性 B 预处理 Lanczos 4D 变量 DA 方法,以 DA 解作为初始场,生成未来两天的每小时预报。在使用多源初始条件(IC)的试验中,对该系统利用这种初始条件(IC)提供准确预报的性能进行了评估。原地数据和遥感数据被用来评估预报实验中获得的预测质量。结果表明,所采用的 DA 技术大大降低了模型与同化观测数据之间的不匹配度,从而改善了预测结果。与基于全球模式的预报相比,通过使用这种集成电路,该系统能够将海面温度、速度和高度的预报误差分别减少达 85%、14% 和 12%。该系统还能准确预测巴西洋流的定位和强度,以及沿研究区域的时空变化。
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引用次数: 0
Study of the tidal dynamics in the Southwestern Atlantic Continental Shelf based on data assimilation 基于数据同化的西南大西洋大陆架潮汐动力学研究
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-01 DOI: 10.1016/j.ocemod.2024.102332
Matías G. Dinápoli, Claudia G. Simionato

The Southwestern Atlantic Continental Shelf (SWACS) is a large oceanic region with remarkably barotropic dynamics. Several scientific studies have described how processes, such as tide or surface winds, affect the variability of the sea surface height and currents. However the tidal dynamics has not received attention for at least the last 15 years, in spite of their importance for both local and global dynamics. Since the last works, the amount of available observations and numerical models (physics, resolution, numerics, etc.) have all greatly improved. In this context, data assimilation (DA) becomes an relevant tool to merge both the observations and the model solutions, producing a better representation of the regional processes. Particularly, DA provides, in addition, an objective methodology to calibrate model parameters. Thus, the aim of this work is to perform, for the first time for this outstanding region, the calibration of the numerical model bottom friction coefficient (cD) by means of DA; then, the opportunity of a better simulation is seized to update the description of tidal dynamics. The spatial variability of the derived cD is consistent with the bathymetry, with a mean value of 2.0×103 along the coast and 2.5×103 nearby the shelf-break. Results show that the incorporation of a spatially varying cD improves the representation of the tidal amplitude and phase compared to the case when it is considered homogeneous, and drives in a single model to results of a better quality than previous nested models with much larger resolution. The optimal representation of the regional tide with a single model allowed us to provide a deeper, improved and novel description of the tidal dynamics. It was found that the energy enters the domain not only from the south but also from the north, being the flux to the north two orders of magnitude larger; those two fluxes produce an cyclonic circulation consistent with the behaviour of the SWACS as a semidiurnal tidal resonant canal theoretically proposed by Webb (1976). This explains why the energy flux is, by far, domained by the potential energy and the large amplitudes of the tide. Finally, a remaining and weaker branch exits along the coast; it enters the Río de la Plata Estuary from its southwesternmost tip and travels upstream along the Argentinean coast, reaching the upper est

西南大西洋大陆架(SWACS)是一个具有显著气压变化动态的大洋区域。一些科学研究描述了潮汐或海面风等过程如何影响海面高度和海流的变化。然而,尽管潮汐动力学对本地和全球动力学都很重要,但至少在过去 15 年里,潮汐动力学还没有得到关注。自上一项工作以来,可用的观测数据和数值模式(物理、分辨率、数值等)都有了很大的改进。在这种情况下,数据同化(DA)就成了将观测数据和模式解合并,从而更好地反映区域过程的重要工具。特别是,数据同化还提供了校准模式参数的客观方法。因此,这项工作的目的是首次在这一突出区域,通过 DA 对数值模式的底部摩擦系数(cD)进行校准;然后,抓住更好的模拟机会,更新潮汐动力学描述。得出的 cD 的空间变化与水深一致,沿岸平均值为 2.0×10-3,大陆架断裂带附近为 2.5×10-3。结果表明,与认为潮汐是均质的情况相比,加入空间变化的 cD 改善了潮汐振幅和相位的表示,并使单一模型的结果比以前分辨率更大的嵌套模型质量更高。用单一模型对区域潮汐进行最佳表示,使我们能够对潮汐动力学进行更深入、更完善和更新颖的描述。我们发现,能量不仅从南面而且从北面进入该区域,其中北面的通量要大两个数量级;这两种通量产生的气旋环流与韦伯(1976 年)理论上提出的西南ACS 作为半周期潮汐共振运河的行为一致。这就解释了为什么到目前为止,能量通量是由势能和大振幅潮汐决定的。最后,剩下的一条较弱的支流沿海岸线流出;它从最西南端进入拉普拉塔河口,沿阿根廷海岸线逆流而上,到达河口上游时已被强烈衰减。
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引用次数: 0
Tidal Effects on Dynamics and Freshwater Transport of a Medium-scale River Plume with Multiple Outlets 潮汐对多出口中尺度河流羽流动力学和淡水输送的影响
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-01 DOI: 10.1016/j.ocemod.2024.102338
Xiaolong Zong, Xuan Cheng, Shuwen Zhang, Qiang Lian, Fangjing Deng, Zhaoyun Chen
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引用次数: 0
Generalized Structure of the Group Method of Data Handling for Modeling Iceberg Drafts 冰山草案建模数据处理组法的通用结构
IF 3.2 3区 地球科学 Q1 Computer Science Pub Date : 2024-02-01 DOI: 10.1016/j.ocemod.2024.102337
Hamed Azimi, H. Shiri, Masoud Mahdianpari
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Ocean Modelling
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