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Search Results (821)

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18 pages, 1872 KB  
Article
Single-Point Thunderstorm Forecasting Based on Second-Order Moist Potential Vorticity and Deep Learning
by Cha Yang, Xiaoqiang Xiao, Na Li, Daoyong Yang, Xiao Shi, Yue Yuan and Hu Wang
Atmosphere 2026, 17(5), 519; https://doi.org/10.3390/atmos17050519 - 19 May 2026
Viewed by 191
Abstract
Thunderstorms are the most frequent type of severe convective weather, which pose great threats to buildings, power transmission, communication facilities, and air transportation. Their analysis and forecasting have long been challenges in meteorological operations. Currently, deep learning-based lightning forecasting has a short valid [...] Read more.
Thunderstorms are the most frequent type of severe convective weather, which pose great threats to buildings, power transmission, communication facilities, and air transportation. Their analysis and forecasting have long been challenges in meteorological operations. Currently, deep learning-based lightning forecasting has a short valid period, mostly relying on satellite imagery, radar echoes, and lightning location data, focusing on very-short-range forecasting. The longest valid period does not exceed 6 h, and the forecasting accuracy is not high. Based on the physical quantities of the ECMWF numerical prediction model and the actual observations of single-point thunderstorms, this paper constructs a single-point thunderstorm forecasting model with a long validity period (>6 h). The study integrates multi-dimensional parameters such as thermal, dynamic, water vapor, and stratification instability, introduces the second-order moist potential vorticity S as a comprehensive predictor, systematically compares the forecasting performance of eight models, such as 1D PreRNN and ConvLSTM, and verifies the actual operational capability of the model through independent cases. The results show that the 1D PreRNN model has the best overall performance in all periods, which can effectively capture the temporal evolution characteristics of meteorological physical quantities and still has stable generalization performance under unbalanced samples. The model performs well in the 1st, 2nd, and 4th periods, and especially still has significant operational reference value in the 4th period with the longest forecasting validity period; only the 3rd period is weakly affected by the small number of samples. The effect of second-order moist potential vorticity has significant time-dependent differences. Its overall improvement effect is limited in short-term forecasting, but it can provide key disturbance signals in the 4th period with the longest forecasting validity period, and the model forecasting performance drops significantly after removal. The original binary cross-entropy loss is most suitable for the unbalanced sample scenario in this study, and weighted losses are prone to overcorrection. The method in this paper can achieve stable and reliable single-point thunderstorm forecasting for more than 6 h, and can provide long-term fixed-point meteorological support for key scenarios such as aerospace and new energy stations. Full article
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23 pages, 4425 KB  
Article
Thin-Film Platinum Heaters: Deposition Optimization, Numerical Modeling, and Characterization
by Wojciech Bulowski, Katarzyna Skibińska, Katarzyna Bucka, Piotr Noga and Marek Wojnicki
Electronics 2026, 15(10), 2155; https://doi.org/10.3390/electronics15102155 - 17 May 2026
Viewed by 225
Abstract
This work investigates the design, simulation, and characterization of thin-film platinum resistive heaters fabricated by magnetron sputtering. Finite element simulations were performed in COMSOL Multiphysics to analyze heat generation and temperature distribution as a function of heater geometry under steady-state conditions. The influence [...] Read more.
This work investigates the design, simulation, and characterization of thin-film platinum resistive heaters fabricated by magnetron sputtering. Finite element simulations were performed in COMSOL Multiphysics to analyze heat generation and temperature distribution as a function of heater geometry under steady-state conditions. The influence of convective heat transfer on temperature uniformity and thermal efficiency was systematically examined. Platinum thin films deposited by magnetron sputtering were characterized in terms of their structural, morphological, and electrical properties. The crystallographic structure was analyzed using X-ray diffraction, while the surface morphology and microstructure were examined by atomic force microscopy and scanning electron microscopy. Electrical conductivity measurements were carried out to evaluate resistive behavior relevant to heater performance. All characterizations were conducted for as-deposited samples and after post-deposition annealing at 500 °C to assess the effect of thermal treatment on film stability and properties. The simulation results were experimentally validated by infrared thermography, allowing a direct comparison between calculated and measured temperature distributions. The combined numerical and experimental approach enables the correlation among the deposition conditions, microstructural evolution, geometry, and electrical heating performance, providing guidelines for the optimization of thin-film platinum resistive heaters. Full article
(This article belongs to the Special Issue Recent Advances in Emerging Semiconductor Devices)
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21 pages, 343 KB  
Article
Existence and Uniqueness Results for a Kirchhoff Double-Phase Problem Involving the ψ-Hilfer Derivative
by Najla Mohammed Alghamdi
Mathematics 2026, 14(10), 1707; https://doi.org/10.3390/math14101707 - 15 May 2026
Viewed by 143
Abstract
This work develops an analytical framework for nonlinear fractional partial differential equations that combine Kirchhoff-type terms, double-phase operators, and ψ-Hilfer fractional derivatives. This paper investigates two classes of problems involving variable-exponent growth conditions. The first problem analyzes general nonlinear sources and formulates [...] Read more.
This work develops an analytical framework for nonlinear fractional partial differential equations that combine Kirchhoff-type terms, double-phase operators, and ψ-Hilfer fractional derivatives. This paper investigates two classes of problems involving variable-exponent growth conditions. The first problem analyzes general nonlinear sources and formulates the solution as a fixed point of a nonlinear operator. Precisely, by proving that the functional energy is coercive, hemicontinuous, and strictly monotone, we establish the existence and the uniqueness of weak solutions via monotone operator theory. The second problem incorporates a convection-type nonlinearity, which breaks variational structure and requires the more robust theory of pseudomonotone operators. Under suitable growth and mixed-order assumptions on the nonlinearity, we prove the existence of at least one weak solution. The main tools are grounded in variable-exponent Lebesgue and Musielak–Orlicz–Sobolev spaces, with compact embeddings, modular estimates, and fractional integral identities playing a key role in the proofs. We note that the results contribute to the mathematical modeling of phenomena involving nonlocal elasticity, viscoelastic materials, phase-transition media, and fractional dynamical systems where the stiffness of the medium depends on the total deformation (Kirchhoff effect) and the energy density alternates between distinct growth regimes (double-phase). The ψ-Hilfer derivative enhances the scope by enabling models with tunable memory and hereditary effects. Full article
40 pages, 1859 KB  
Article
Nonlinear Analysis for Non-Newtonian Nanofluid Flow over a Shrinking Plate with Convective Boundary Conditions
by Mashael A. Aljohani and Mohamed Y. Abouzeid
Math. Comput. Appl. 2026, 31(3), 81; https://doi.org/10.3390/mca31030081 - 14 May 2026
Viewed by 134
Abstract
Significance: This study addresses critical industrial and biomedical applications including glass blowing (thermal management of shrinking sheets), polymer sheet extrusion (controlled cooling), magnetic drug delivery (nanoparticle targeting), and nuclear reactor cooling (enhanced heat transfer). Aim: We present a novel nonlinear analysis of magnetohydrodynamic [...] Read more.
Significance: This study addresses critical industrial and biomedical applications including glass blowing (thermal management of shrinking sheets), polymer sheet extrusion (controlled cooling), magnetic drug delivery (nanoparticle targeting), and nuclear reactor cooling (enhanced heat transfer). Aim: We present a novel nonlinear analysis of magnetohydrodynamic (MHD) boundary layer flow of a Jeffery Al2O3 nanofluid over a shrinking permeable plate with convective boundary conditions, uniquely integrating mixed convection, Ohmic dissipation, heat generation, Brownian motion, and thermophoresis within a non-Newtonian nanofluid framework. Methodology: The governing partial differential equations are transformed using similarity transformations and solved via the Adomian decomposition method (ADM). Comprehensive validation against RK4, RK45, and bvp4c demonstrates excellent agreement with maximum relative errors below 5×104. Key Contribution: (i) Normal velocity decreases by 15–25% as the Biot number increases from Bi=0.4 to 0.6; (ii) tangential velocity decreases by 20–30% as the magnetic parameter increases from M=5 to 15; (iii) temperature increases by 30–40% as the Eckert number increases from Ec=0.5 to 2.5; (iv) ADM converges within 12–15 terms with L2 errors <105; (v) skin friction coefficient increases from Cf=3.02713 to 3.90082 as Q0 increases from 1 to 4; (vi) Nusselt number values: Nu/Re=0.4621 at Pr=0.7, 0.8954 at Pr=2, 3.2890 at Pr=20. These quantitative findings provide design guidelines for engineers in thermal management and biomedical applications. Full article
(This article belongs to the Special Issue Advances in Computational and Applied Mechanics (SACAM))
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17 pages, 3032 KB  
Article
Impact of Optical Flow and Joint Loss on Nowcasting of Severe Convective Weather at Airports
by Qin Wang, Youfang Zhang and Lieshuang Liu
Atmosphere 2026, 17(5), 497; https://doi.org/10.3390/atmos17050497 - 14 May 2026
Viewed by 227
Abstract
With the increasing frequency of extreme weather and rapid growth of civil aviation, severe convective weather (thunderstorms, short-term heavy precipitation, and strong winds) poses growing threats to flight safety. This study proposes a multi-label CNN-ConvLSTM framework that fuses airport Doppler radar echoes, Himawari-8 [...] Read more.
With the increasing frequency of extreme weather and rapid growth of civil aviation, severe convective weather (thunderstorms, short-term heavy precipitation, and strong winds) poses growing threats to flight safety. This study proposes a multi-label CNN-ConvLSTM framework that fuses airport Doppler radar echoes, Himawari-8 satellite imagery, surface observations, and radar optical flow features to nowcast multiple severe convective events within the next 30 min. The model uses 2D-CNN for spatial extraction, ConvLSTM for temporal dynamics, and a weighted joint loss (Focal Loss and Dice Loss) to address class imbalance. Trained on 396 samples (positive-to-negative ratio 1:2.5) from 83 events at Guanghan Airport (2021–2024), incorporating optical flow features significantly boosted performance: macro-F1 increased from 0.719 to 0.792, and Threat Score (TS) from 0.567 to 0.705. Notably, false negatives for minority classes dropped sharply, with strong winds F1-score rising from 0.15 to 1.00. Ablation analysis showed optical flow as the top contributor (Mean Decrease in TS ≈ 0.5). Through multi-modal fusion and motion enhancement, this interpretable model provides high-precision nowcasting for airport severe convective weather, offering substantial value for aviation safety. Full article
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27 pages, 2297 KB  
Article
Multiscale Meteorological Drought Spatial Reconstruction in North-Central Urban Core of Mexico City: An Explainable Deep Learning Approach
by Garza-Pimentel Yunue, González-Olvera Marcos Angel and Santos-Reyes Jaime Reynaldo
Water 2026, 18(10), 1165; https://doi.org/10.3390/w18101165 - 12 May 2026
Viewed by 398
Abstract
Mexico City experiences severe water stress driven by aquifer overexploitation and recurrent droughts. Effective water management requires operational spatial monitoring systems capable of spatially reconstructing meteorological anomalies across multiple temporal scales. In this work we developed an explainable deep learning framework using Long [...] Read more.
Mexico City experiences severe water stress driven by aquifer overexploitation and recurrent droughts. Effective water management requires operational spatial monitoring systems capable of spatially reconstructing meteorological anomalies across multiple temporal scales. In this work we developed an explainable deep learning framework using Long Short-Term Memory (LSTM) networks to spatially reconstruct three drought indices—the Standardized Precipitation Index (SPI), Standardized Precipitation Evapotranspiration Index (SPEI), and Reconnaissance Drought Index (RDI)—across five accumulation scales (3, 6, 12, 18, and 24 months). To strictly isolate genuine meteorological deviations, we adopted a hybrid statistical approach: SPI was computed following the standard WMO methodology using Gamma distribution fitting, while SPEI and RDI were computed using empirical monthly standardized anomalies to ensure robustness in non-stationary urban climates without forcing distributional assumptions. Model generalization was evaluated using a leave-one-microsite-out validation strategy, training on two stations and testing on a spatially isolated third station, with inter-station distances ranging from 1.8 to 6.7 km, sufficient to capture urban microclimatic heterogeneity while remaining within the same regional climate zone. We quantified feature importance using SHapley Additive exPlanations (SHAP) to provide mathematical transparency. The LSTM achieved predictive performance at long-term scales by effectively capturing deep sequential memory, while short-term reconstructions reflected the inherent noise of urban convective precipitation. The framework demonstrates reliable intra-urban spatial generalization capacity, supporting the development of diagnostic tools for metropolitan water stress assessment. Full article
(This article belongs to the Section Water and Climate Change)
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27 pages, 1676 KB  
Article
A Space–Time Spectral Method for Nonlinear Fractional Convection–Diffusion Equations with Viscosity Terms
by Zhe Yu, Shanshan Guo, Xinming Zhang and Baohe Zhang
Fractal Fract. 2026, 10(5), 324; https://doi.org/10.3390/fractalfract10050324 - 10 May 2026
Viewed by 187
Abstract
We develop a high-order space-time spectral method for nonlinear convection–diffusion equations with a Riemann–Liouville time-fractional derivative and a spectrally defined space-fractional Laplacian. The spatial discretization uses a Fourier spectral method that diagonalizes the fractional Laplacian under periodic boundary conditions. The temporal discretization employs [...] Read more.
We develop a high-order space-time spectral method for nonlinear convection–diffusion equations with a Riemann–Liouville time-fractional derivative and a spectrally defined space-fractional Laplacian. The spatial discretization uses a Fourier spectral method that diagonalizes the fractional Laplacian under periodic boundary conditions. The temporal discretization employs a Petrov–Galerkin method based on generalized Jacobi functions which capture the initial singularity exactly. The nonlinear convection term is treated pseudo-spectrally, and the resulting algebraic system is solved with a damped Newton iteration. Rigorous error analysis proves exponential convergence in both space and time. Numerical experiments for various fractional orders confirm the spectral accuracy. Simulations of the fractional Burgers equation demonstrate that increasing the viscosity enhances diffusion and stabilizes the solution, while a nonlinear coefficient that significantly exceeds the viscosity leads to error growth over long time intervals. The method provides an efficient and accurate tool for simulating anomalous transport phenomena. Full article
(This article belongs to the Special Issue Fractional Modeling and Dynamics Analysis of Complex Systems)
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20 pages, 4200 KB  
Article
A Deep Learning Method Integrating Meteorological Data for Heavy Precipitation Nowcasting in the Alps Region
by Yilin Mu, Jiahe Liu, Yang Li and Ruidong Zhang
Appl. Sci. 2026, 16(9), 4481; https://doi.org/10.3390/app16094481 - 2 May 2026
Viewed by 288
Abstract
Forecasting short-term heavy precipitation is crucial for the early warning of disasters such as flash floods, landslides, and urban flooding. However, under complex topographic conditions, traditional numerical forecasts still fall short in capturing high-resolution heavy precipitation events, and conventional radar extrapolation methods struggle [...] Read more.
Forecasting short-term heavy precipitation is crucial for the early warning of disasters such as flash floods, landslides, and urban flooding. However, under complex topographic conditions, traditional numerical forecasts still fall short in capturing high-resolution heavy precipitation events, and conventional radar extrapolation methods struggle to accurately characterize the nonlinear evolution of weather systems during advection, deformation, and intensity adjustment processes. To address the challenge of short-term heavy rainfall forecasting in high-altitude, complex terrain, this paper proposes Nowcast with Flow-Net (Nwf-Net), a short-term precipitation forecasting framework that integrates deep learning with multi-source meteorological data. This framework consists of a Morphological Evolution Track Module (MET) and a Rainfall Intensity Correction Module (RIC) connected in series: the former combines upper-air wind fields with traditional optical flow algorithms to jointly characterize the displacement of and morphological changes in radar echoes; the latter utilizes a deep recurrent neural network to correct the intensity of forecast results, thereby enhancing the model’s ability to characterize the evolution of strong convective echoes. Experiments in the Alpine region demonstrate that Nwf-Net achieves CSI, HSS, and F1 scores of 0.392, 0.506, and 0.546, respectively, at 32 dBz. These results outperform those of traditional numerical models and some mainstream models, indicating that Nwf-Net can accurately capture multiscale severe convective information and consistently generate precise forecasts. Full article
(This article belongs to the Section Earth Sciences)
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18 pages, 7950 KB  
Article
Comparative Evaluation of ecPoint and EMOS for CMA-GEPS Precipitation Forecast over Eastern China
by Sonum Stejik, Phuntsok Tsewang, Pu Liu and Jialing Wang
Atmosphere 2026, 17(5), 458; https://doi.org/10.3390/atmos17050458 - 30 Apr 2026
Viewed by 372
Abstract
Post-processing of numerical weather prediction (NWP) models constitutes a pivotal link in enhancing forecast performance. Despite their recognition as cutting-edge point-based post-processing techniques, systematic comparative evaluations of ecPoint (ECWMF for point forecasts) and Ensemble Model Output Statistics (EMOS)—particularly assessments of their applicability outside [...] Read more.
Post-processing of numerical weather prediction (NWP) models constitutes a pivotal link in enhancing forecast performance. Despite their recognition as cutting-edge point-based post-processing techniques, systematic comparative evaluations of ecPoint (ECWMF for point forecasts) and Ensemble Model Output Statistics (EMOS)—particularly assessments of their applicability outside Europe and to Chinese ensemble forecasting systems—remain sparse. In this study, we evaluate two advanced post-processing techniques—EMOS and the ecPoint—for calibrating ensemble precipitation forecasts. A comprehensive assessment of the performance of these ensemble post-processing methods is conducted using the CMA-GEPS (China Meteorological Administration’s Global Ensemble Forecasting System forecast over eastern China. The results demonstrate that both methods significantly mitigate systematic biases and improve the reliability and dispersion of ensemble forecasts. Notably, improvement in forecast accuracy is observed even under convective weather conditions and early-warning capability of extreme precipitation events is improved. Overall, while both methods show comparable performance, they exhibit distinct behaviours across different regions. The ecPoint method slightly outperforms EMOS in terms of Continuous Ranked Probability Score (CRPS) and provides improved resolution and early-warning capabilities at various precipitation thresholds. Full article
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40 pages, 12987 KB  
Article
Topological Digital Twins: A Reduced-Order Framework for the Analysis and Forecasting of Convective Systems
by Hélène Canot, Philippe Durand and Emmanuel Frenod
Mathematics 2026, 14(9), 1513; https://doi.org/10.3390/math14091513 - 30 Apr 2026
Viewed by 293
Abstract
We propose an exploratory framework based on Topological Digital Twins (TDTs) for the monitoring and short-term forecasting of spatial dynamical systems. The approach represents the system through a reduced state built from topological descriptors obtained via persistent homology. These descriptors capture features such [...] Read more.
We propose an exploratory framework based on Topological Digital Twins (TDTs) for the monitoring and short-term forecasting of spatial dynamical systems. The approach represents the system through a reduced state built from topological descriptors obtained via persistent homology. These descriptors capture features such as connected components, cycles, and large-scale structure. The framework combines three components: an observation operator mapping spatial fields to a low-dimensional state, a reduced dynamical model evolving this state in time, and a data assimilation step aimed at improving robustness. This construction maps persistence diagrams to a finite-dimensional Euclidean space. This makes the model tractable but does not preserve the full algebraic structure of the original topological objects. We provide theoretical results supporting the stability of the representation under perturbations of the input field. The method is illustrated on a bow-echo convective system observed over Corsica on 18 August 2022, where the reduced state captures the main structural organization of the system over time. A comparison with standard nowcasting methods shows complementary behavior: pixel-based approaches provide better local accuracy, while the TDT framework better preserves the global spatial structure, as reflected by Wasserstein distances and persistence-based comparisons. Additional tests also indicate that the topological observables remain stable under small perturbations of the input field. The present study is based on a single case and should be understood as a proof of concept, rather than as a definitive validation. Future work will focus on validation on larger datasets and on the use of more advanced dynamical models. Full article
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47 pages, 6646 KB  
Review
Heat-Assisted Metal Spinning: Review
by Sergio Elizalde, Mohammad Jahazi and Henri Champliaud
Metals 2026, 16(5), 483; https://doi.org/10.3390/met16050483 - 29 Apr 2026
Viewed by 561
Abstract
Heat-assisted metal spinning comprises incremental forming routes, conventional spinning, shear spinning and flow forming, performed at elevated temperature to increase formability. This review consolidates the main advances of the last fifteen years. It outlines spinning mechanics and the rationale for heating (higher ductility, [...] Read more.
Heat-assisted metal spinning comprises incremental forming routes, conventional spinning, shear spinning and flow forming, performed at elevated temperature to increase formability. This review consolidates the main advances of the last fifteen years. It outlines spinning mechanics and the rationale for heating (higher ductility, lower forming forces and microstructure control), then compares global and local heating strategies (furnace, flame, induction, laser and hot-gas convection) in terms of temperature uniformity, industrial practicality, energy efficiency and cost. Key process parameters (spindle speed, feed rate and thickness reduction) are discussed with respect to defect formation, and representative windows for defect mitigation are reported. Progress in modeling is reviewed, including coupled thermo-mechanical finite element simulations, damage/formability prediction and emerging data-driven optimization. The review also summarizes microstructural evolution under heat-assisted conditions, phase transformation, dynamic recrystallisation and grain growth, and its impact on final properties. Across more than 100 studies, evidence shows that robust thermal management can roughly double achievable deformation before failure and enables property tailoring in difficult-to-form alloys (Ni-based alloys, high-strength steels, Al, Mg and Ti). Remaining challenges include reliable in situ temperature measurement/control and improved predictive fidelity of simulations. Future opportunities include digital twins, real-time sensing and adaptive, machine-learning-assisted control. Full article
(This article belongs to the Special Issue Advanced Metallic Materials and Forming Technologies)
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19 pages, 5572 KB  
Article
SMG-Net: A SimVP-Based Collaborative Model for Radar Echo Extrapolation in Precipitation Nowcasting
by Hao Wang, Hao Yang and Wu Wen
Atmosphere 2026, 17(5), 452; https://doi.org/10.3390/atmos17050452 - 29 Apr 2026
Viewed by 339
Abstract
Radar echo extrapolation under severe convective conditions remains challenging because efficient prediction models still tend to suffer from strong-echo attenuation, boundary blurring, and performance degradation at longer lead times. To address these issues, this study proposes SMG-Net, a SimVP-based radar echo extrapolation model [...] Read more.
Radar echo extrapolation under severe convective conditions remains challenging because efficient prediction models still tend to suffer from strong-echo attenuation, boundary blurring, and performance degradation at longer lead times. To address these issues, this study proposes SMG-Net, a SimVP-based radar echo extrapolation model with a collaborative multistage design. The proposed framework integrates multiscale spatial enhancement, trend–disturbance differentiated temporal modeling, and gated hierarchical feature fusion to improve structural preservation and temporal stability. Experiments on a regional radar dataset show that SMG-Net achieves the lowest MSE (0.032) and the highest SSIM (0.830) among the compared models. At the 30 dBZ threshold, CSI, POD, and FAR reach 0.042, 0.045, and 0.250, respectively, indicating improved strong-echo detectability and reduced false alarms. The results further show that SMG-Net is particularly effective in preserving the morphology, boundary structure, and intensity distribution of medium- and strong-echo regions at longer lead times, while introducing only limited additional computational cost over the baseline SimVP. These findings indicate that SMG-Net improves the preservation of medium- and strong-echo structures in efficient radar echo extrapolation and has practical value for short-term precipitation nowcasting in severe convective scenarios. Full article
(This article belongs to the Section Atmospheric Techniques, Instruments, and Modeling)
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25 pages, 4104 KB  
Article
Kalman Filter Method with Iterative Sparse Regularization and Its Application to the Retrieval of the Initial Field for the Convection–Diffusion Equation
by Xuan Deng and Yuepeng Wang
Mathematics 2026, 14(9), 1483; https://doi.org/10.3390/math14091483 - 28 Apr 2026
Viewed by 226
Abstract
Sparse regularization methods play an important role in inverse problems for extracting key features of underlying parameters and have attracted increasing attention in meteorological data assimilation. However, when the condition number of the background error covariance matrix is extremely large (e.g., 1012 [...] Read more.
Sparse regularization methods play an important role in inverse problems for extracting key features of underlying parameters and have attracted increasing attention in meteorological data assimilation. However, when the condition number of the background error covariance matrix is extremely large (e.g., 1012), the instability of the inverse problem makes accurate reconstruction difficult. To address this issue, a gradient operator is incorporated into the sparse regularization term of the cost function, and a Kalman filter (KF) algorithm is developed within a majorization–minimization (MM) framework to solve the resulting optimization problem. The problem is reformulated as a weighted least-squares problem via the MM strategy and further decomposed into two subproblems in the null space and its oblique complementary space through oblique projection, which are then solved using the KF method. This approach avoids the use of an adjoint model typically required in four-dimensional variational data assimilation (4D-Var). In addition, a modified f-slope strategy with a constrained search interval is introduced to adaptively select the regularization parameter during computation. Numerical experiments on the initial condition inversion of the Convection–Diffusion equation demonstrate that the proposed method achieves more accurate reconstruction of key features than the l1-norm regularized 4D-Var method, particularly in capturing sharp gradients and sparse structures. The adaptive regularization strategy automatically balances sparsity and smoothness without manual tuning. The inversion errors remain low even when the condition number ranges from 108 to 1014, with relative MSE and MAE below 0.01 and relative bias below 0.005, indicating improved robustness and reconstruction accuracy under severely ill-conditioned settings. Full article
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22 pages, 16604 KB  
Technical Note
Updates to the CYGNSS Ocean Surface Heat Flux Product
by Juan A. Crespo, Shakeel Asharaf, Anthony Russel, Dorina Twigg and Derek J. Posselt
Remote Sens. 2026, 18(9), 1353; https://doi.org/10.3390/rs18091353 - 28 Apr 2026
Viewed by 307
Abstract
The initial development of the Cyclone Global Navigation Satellite System (CYGNSS) Ocean Surface Heat Flux Product, shortly after the satellite mission began, quickly became a valuable tool for analyzing and monitoring latent and sensible heat fluxes over tropical and subtropical oceans. It helps [...] Read more.
The initial development of the Cyclone Global Navigation Satellite System (CYGNSS) Ocean Surface Heat Flux Product, shortly after the satellite mission began, quickly became a valuable tool for analyzing and monitoring latent and sensible heat fluxes over tropical and subtropical oceans. It helps improve understanding of their influence on tropical and extratropical cyclones, tropical convection, atmospheric rivers, and more. Since its first release, the product has been updated with new ancillary input data (such as temperature and humidity), algorithm adjustments to incorporate equivalent neutral winds from CYGNSS, and the addition of local solar time to support diurnal analysis. As a mature mission and data product, CYGNSS provides important climatological and long-term insights into the tropical and subtropical oceans, filling gaps where in situ observations and data from other remote sensing instruments are limited. This paper outlines the updates and changes made to the CYGNSS Fluxes since its inception, compares the current dataset with in situ data, and discusses CYGNSS’s long-term observations of ocean surface heat fluxes in the tropical and subtropical regions. Full article
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20 pages, 4451 KB  
Article
MSF-PhyDRNN: A Physics-Driven Multi-Source Fusion Recurrent Neural Network for Short-Term Thunderstorm Gale Nowcasting
by Huantong Geng, Shaoqiang Ma, Kefei Ma, Xiaoran Zhuang, Hualong Zhang and Yu Lan
Remote Sens. 2026, 18(9), 1334; https://doi.org/10.3390/rs18091334 - 27 Apr 2026
Viewed by 352
Abstract
Accurate nowcasting of thunderstorm gales, a highly destructive form of severe convective weather, is critical for mitigating wind-related disasters and ensuring the safety of life and property. Existing deep learning approaches face challenges such as performance decay at high wind speed thresholds, limited [...] Read more.
Accurate nowcasting of thunderstorm gales, a highly destructive form of severe convective weather, is critical for mitigating wind-related disasters and ensuring the safety of life and property. Existing deep learning approaches face challenges such as performance decay at high wind speed thresholds, limited capability in capturing extreme events, and difficulties in processing high-resolution data. To address these issues, this paper proposes a novel physics-driven multi-source fusion recurrent neural network named MSF-PhyDRNN. The model incorporates a multi-source fusion module that integrates radar composite reflectivity and surface wind field data through feature decoupling and hierarchical fusion. Additionally, we improved the recurrent unit in PhyDNet to enhance short-term wind capture and reduce redundancy, leveraging its cascaded memory and spatiotemporal propagation mechanisms. Experimental results indicate that, compared to the advanced MFWPN model, MSF-PhyDRNN achieves an average increase of 14.3% in the Critical Success Index (CSI), 27.2% in the Probability of Detection (POD), and 19.7% in the Heidke Skill Score (HSS) across the Jiangsu and South China datasets. Full article
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