Physics-informed neural networks for high-resolution weather reconstruction from sparse weather stations

Background The accurate provision of weather information holds immense significance to many disciplines. One example corresponds to the field of air traffic management, in which one basis for weather detection is set upon recordings from sparse weather stations on ground. The scarcity of data and th...

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Published inOpen research Europe Vol. 4; p. 99
Main Authors Moreno Soto, Álvaro, Cervantes, Alejandro, Soler, Manuel
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LanguageEnglish
Published Belgium F1000 Research Limited 2024
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Abstract Background The accurate provision of weather information holds immense significance to many disciplines. One example corresponds to the field of air traffic management, in which one basis for weather detection is set upon recordings from sparse weather stations on ground. The scarcity of data and their lack of precision poses significant challenges to achieve a detailed description of the atmosphere state at a certain moment in time. Methods In this article, we foster the use of physics-informed neural networks (PINNs), a type of machine learning (ML) architecture which embeds mathematically accurate physics models, to generate high-quality weather information subject to the regularization provided by the Navier-Stokes equations. Results The application of PINNs is oriented to the reconstruction of dense and precise wind and pressure fields in areas where only a few local measurements provided by weather stations are available. Our model does not only disclose and regularize such data, which are potentially corrupted by noise, but is also able to precisely compute wind and pressure in target areas. Conclusions The effect of time and spatial resolution over the capability of the PINN to accurately reconstruct fluid phenomena is thoroughly discussed through a parametric study, concluding that a proper tuning of the neural network’s loss function during training is of utmost importance.
AbstractList Background The accurate provision of weather information holds immense significance to many disciplines. One example corresponds to the field of air traffic management, in which one basis for weather detection is set upon recordings from sparse weather stations on ground. The scarcity of data and their lack of precision poses significant challenges to achieve a detailed description of the atmosphere state at a certain moment in time. Methods In this article, we foster the use of physics-informed neural networks (PINNs), a type of machine learning (ML) architecture which embeds mathematically accurate physics models, to generate high-quality weather information subject to the regularization provided by the Navier-Stokes equations. Results The application of PINNs is oriented to the reconstruction of dense and precise wind and pressure fields in areas where only a few local measurements provided by weather stations are available. Our model does not only disclose and regularize such data, which are potentially corrupted by noise, but is also able to precisely compute wind and pressure in target areas. Conclusions The effect of time and spatial resolution over the capability of the PINN to accurately reconstruct fluid phenomena is thoroughly discussed through a parametric study, concluding that a proper tuning of the neural network’s loss function during training is of utmost importance.
There is currently a great interest in the many uses of artificial intelligence (AI) and how it is affecting our daily lives. From the robotics field to the use of language recognition to interact with different users, we are experiencing how machine intelligence is increasing day by day. In this article, we delve into one of the many applications of artificial intelligence: weather reconstruction. The ability to accurately determine weather conditions is believed to have an impact on various disciplines, e.g. reducing costs at airports due to delays, cancellations and associated compensations. In this particular example, a precise description of the status of the atmosphere is therefore necessary if countermeasures are to be executed. However, conventional weather recording with on-ground stations is often limited to a few sparse locations. Following that line of thought, it is not only necessary to estimate the weather in areas surrounding stations, but also on other target areas which may be subject to lack of weather information. Our strategy is based on the application of neural networks, a type of AI architecture, to infer data based on the underlying physics that drive the measured weather phenomena. For that purpose, we make use of neural networks which are consistent with physics laws, the so-called physics-informed neural networks (PINNs). This article deals with their adoption to weather pattern reconstruction, with the objective of further increasing the precision and availability of information given scarce reference measurements.
The accurate provision of weather information holds immense significance to many disciplines. One example corresponds to the field of air traffic management, in which one basis for weather detection is set upon recordings from sparse weather stations on ground. The scarcity of data and their lack of precision poses significant challenges to achieve a detailed description of the atmosphere state at a certain moment in time. In this article, we foster the use of physics-informed neural networks (PINNs), a type of machine learning (ML) architecture which embeds mathematically accurate physics models, to generate high-quality weather information subject to the regularization provided by the Navier-Stokes equations. The application of PINNs is oriented to the reconstruction of dense and precise wind and pressure fields in areas where only a few local measurements provided by weather stations are available. Our model does not only disclose and regularize such data, which are potentially corrupted by noise, but is also able to precisely compute wind and pressure in target areas. The effect of time and spatial resolution over the capability of the PINN to accurately reconstruct fluid phenomena is thoroughly discussed through a parametric study, concluding that a proper tuning of the neural network's loss function during training is of utmost importance.
The accurate provision of weather information holds immense significance to many disciplines. One example corresponds to the field of air traffic management, in which one basis for weather detection is set upon recordings from sparse weather stations on ground. The scarcity of data and their lack of precision poses significant challenges to achieve a detailed description of the atmosphere state at a certain moment in time.BackgroundThe accurate provision of weather information holds immense significance to many disciplines. One example corresponds to the field of air traffic management, in which one basis for weather detection is set upon recordings from sparse weather stations on ground. The scarcity of data and their lack of precision poses significant challenges to achieve a detailed description of the atmosphere state at a certain moment in time.In this article, we foster the use of physics-informed neural networks (PINNs), a type of machine learning (ML) architecture which embeds mathematically accurate physics models, to generate high-quality weather information subject to the regularization provided by the Navier-Stokes equations.MethodsIn this article, we foster the use of physics-informed neural networks (PINNs), a type of machine learning (ML) architecture which embeds mathematically accurate physics models, to generate high-quality weather information subject to the regularization provided by the Navier-Stokes equations.The application of PINNs is oriented to the reconstruction of dense and precise wind and pressure fields in areas where only a few local measurements provided by weather stations are available. Our model does not only disclose and regularize such data, which are potentially corrupted by noise, but is also able to precisely compute wind and pressure in target areas.ResultsThe application of PINNs is oriented to the reconstruction of dense and precise wind and pressure fields in areas where only a few local measurements provided by weather stations are available. Our model does not only disclose and regularize such data, which are potentially corrupted by noise, but is also able to precisely compute wind and pressure in target areas.The effect of time and spatial resolution over the capability of the PINN to accurately reconstruct fluid phenomena is thoroughly discussed through a parametric study, concluding that a proper tuning of the neural network's loss function during training is of utmost importance.ConclusionsThe effect of time and spatial resolution over the capability of the PINN to accurately reconstruct fluid phenomena is thoroughly discussed through a parametric study, concluding that a proper tuning of the neural network's loss function during training is of utmost importance.
Author Soler, Manuel
Moreno Soto, Álvaro
Cervantes, Alejandro
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10.1126/science.aaw4741
10.3390/aerospace5040109
10.1109/72.712178
10.5194/soil-1-187-2015
10.1007/s00704-018-2458-9
10.1515/janeh-2020-0009
10.1063/5.0078143
10.1063/5.0095270
10.1016/j.cma.2023.116652
10.48550/arXiv.2111.03794
10.1016/j.eswa.2023.122466
10.1007/s00348-023-03629-4
10.1016/j.jcp.2018.10.045
10.1016/j.trpro.2021.11.109
10.1088/1361-6501/aca9eb
10.1038/s41467-024-45578-4
10.1088/1361-6501/aa7ec1
10.1016/j.ejtl.2022.100076
10.1007/s10409-021-01148-1
10.1038/s41467-021-26434-1
10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
10.1038/s41586-023-06185-3
10.1016/j.jweia.2023.105534
10.1016/j.buildenv.2021.107601
10.1016/j.expthermflusci.2019.02.001
10.1098/rsta.2020.0093
10.1016/j.mlwa.2021.100053
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Keywords fluid flows
weather reconstruction
fluid mechanics
machine learning
Artificial intelligence
physics-informed neural networks
Language English
License Copyright: © 2024 Moreno Soto Á et al.
This is an open access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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References D Šaur (ref-7) 2015
K Bi (ref-36) 2023; 619
(ref-5) 1951
F Škultéty (ref-25) 2021; 59
A Moreno Soto (ref-38) 2024
J Min Han (ref-12) 2021; 192
A Moreno Soto (ref-22) 2024; 419
P Di Leoni (ref-18) 2023; 64
(ref-2) 2023
M Schultz (ref-24) 2018; 5
L González Sotelino (ref-34) 2022
A Jardines (ref-9) 2024; 241
S Curci (ref-35) 2017; 28
Y Fan (ref-30) 2019; 135
W Eugster (ref-29) 2015; 1
H Eivazi (ref-19) 2022; 34
M Raissi (ref-14) 2020; 367
H Zhang (ref-17) 2023; 241
K Kashinath (ref-10) 2021; 379
I Lagaris (ref-28) 1998; 9
Z Chen (ref-33) 2021; 12
S Discetti (ref-21) 2019; 104
H Wang (ref-16) 2022; 34
(ref-1) 2024
S Cai (ref-15) 2021; 37
G Hasanuzzaman (ref-20) 2023; 34
A Solera-Rico (ref-11) 2024; 15
M Ossendrijver (ref-4) 2021; 8
A Jardines (ref-8) 2021; 5
E Lorenz (ref-6) 1963; 20
Z Li (ref-23) 2023
W Keegan (ref-32) 2000
J Hernández-Romero (ref-26) 2022; 11
V Naveen (ref-31) 2021
(ref-3) 2023
M Raissi (ref-13) 2019; 378
A Baydin (ref-27) 2018; 18
References_xml – start-page: 181-191
  year: 2015
  ident: ref-7
  article-title: Evaluation of the accuracy of numerical weather prediction models
  doi: 10.1007/978-3-319-18476-0_19
– volume: 367
  start-page: 1026-1030
  year: 2020
  ident: ref-14
  article-title: Hidden fluid mechanics: learning velocity and pressure fields from flow visualizations.
  publication-title: Science.
  doi: 10.1126/science.aaw4741
– volume: 5
  start-page: 109
  year: 2018
  ident: ref-24
  article-title: Weather impact on airport performance.
  publication-title: Aerosp.
  doi: 10.3390/aerospace5040109
– volume: 9
  start-page: 987-1000
  year: 1998
  ident: ref-28
  article-title: Artificial neural networks for solving ordinary and partial differential equations.
  publication-title: IEEE Trans Neural Networks.
  doi: 10.1109/72.712178
– volume: 1
  start-page: 187-205
  year: 2015
  ident: ref-29
  article-title: Eddy covariance for quantifying trace gas fluxes from soils.
  publication-title: Soil.
  doi: 10.5194/soil-1-187-2015
– volume: 135
  start-page: 1485-1499
  year: 2019
  ident: ref-30
  article-title: Mean shear flow in recirculating turbulent urban convection and the plume-puff eddy structure below stably stratified inversion layers.
  publication-title: Theor Appl Climatol.
  doi: 10.1007/s00704-018-2458-9
– volume: 8
  start-page: 223-258
  year: 2021
  ident: ref-4
  article-title: Weather prediction in Babylonia.
  publication-title: J Ancient Near East Hist.
  doi: 10.1515/janeh-2020-0009
– volume: 34
  year: 2022
  ident: ref-16
  article-title: Dense velocity reconstruction from Particle Image Velocimetry/Particle Tracking Velocimetry using a physics-informed neural network.
  publication-title: Phys Fluids.
  doi: 10.1063/5.0078143
– volume: 34
  year: 2022
  ident: ref-19
  article-title: Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations.
  publication-title: Phys Fluids.
  doi: 10.1063/5.0095270
– year: 2024
  ident: ref-1
  article-title: Billion-dollar weather and climate disasters
– volume: 419
  year: 2024
  ident: ref-22
  article-title: Complete flow characterization from snapshot PIV, fast probes and Physics-Informed Neural Networks.
  publication-title: Comput Methods Appl Mech Eng.
  doi: 10.1016/j.cma.2023.116652
– volume: 18
  start-page: 1-43
  year: 2018
  ident: ref-27
  article-title: Automatic differentiation in machine learning: a survey.
  publication-title: J Mach Learn Res.
– start-page: 1-27
  year: 2023
  ident: ref-23
  article-title: Physics-informed neural operator for learning partial differential equations.
  publication-title: arXiv.
  doi: 10.48550/arXiv.2111.03794
– volume: 241
  year: 2024
  ident: ref-9
  article-title: Thunderstorm prediction during pre-tactical air-traffic-flow management using convolutional neural networks.
  publication-title: Expert Syst Appl.
  doi: 10.1016/j.eswa.2023.122466
– volume: 64
  year: 2023
  ident: ref-18
  article-title: Reconstructing turbulent velocity and pressure fields from under-resolved noisy particle tracks using physics-informed neural networks.
  publication-title: Exp Fluids.
  doi: 10.1007/s00348-023-03629-4
– volume: 378
  start-page: 686-707
  year: 2019
  ident: ref-13
  article-title: Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.
  publication-title: J Comput Phys.
  doi: 10.1016/j.jcp.2018.10.045
– volume: 59
  start-page: 174-182
  year: 2021
  ident: ref-25
  article-title: Dangerous weather phenomena and their effect on en-route flight delays in Europe.
  publication-title: Transport Res Procedia.
  doi: 10.1016/j.trpro.2021.11.109
– volume: 34
  year: 2023
  ident: ref-20
  article-title: Enhancement of PIV measurements via Physics-Informed Neural Networks.
  publication-title: Meas Sci Technol.
  doi: 10.1088/1361-6501/aca9eb
– volume: 15
  year: 2024
  ident: ref-11
  article-title: β-variational autoencoders and transformers for reduced-order modelling of fluid flows.
  publication-title: Nat Commun.
  doi: 10.1038/s41467-024-45578-4
– volume: 28
  year: 2017
  ident: ref-35
  article-title: Assessing measurement uncertainty in meteorology in urban environments.
  publication-title: Meas Sci Technol.
  doi: 10.1088/1361-6501/aa7ec1
– year: 2022
  ident: ref-34
  article-title: Environmental classification of RMI automatic weather station network.
– volume: 11
  year: 2022
  ident: ref-26
  article-title: Integrating weather impact in air traffic controller shift scheduling in remote and conventional towers.
  publication-title: EURO J Transp Logist.
  doi: 10.1016/j.ejtl.2022.100076
– volume: 37
  start-page: 1727-1738
  year: 2021
  ident: ref-15
  article-title: Physics-Informed Neural Networks (PINNs) for fluid mechanics: a review.
  publication-title: Acta Mech Sin.
  doi: 10.1007/s10409-021-01148-1
– year: 1951
  ident: ref-5
  article-title: Meteorologica
– year: 2023
  ident: ref-2
  article-title: Economic losses from weather- and climate-related extremes in Europe
– volume: 12
  year: 2021
  ident: ref-33
  article-title: Physics-informed learning of governing equations from scarce data.
  publication-title: Nat Commun.
  doi: 10.1038/s41467-021-26434-1
– year: 2021
  ident: ref-31
  article-title: Amazon web services: 5. Wind.
– year: 2023
  ident: ref-3
  article-title: 2023 shatters climate records, with major impacts
– volume: 20
  start-page: 130-141
  year: 1963
  ident: ref-6
  article-title: Deterministic nonperiodic flow.
  publication-title: J Atmos Sci.
  doi: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
– volume: 619
  start-page: 533-538
  year: 2023
  ident: ref-36
  article-title: Accurate medium-range global weather forecasting with 3D neural networks.
  publication-title: Nature.
  doi: 10.1038/s41586-023-06185-3
– volume: 241
  year: 2023
  ident: ref-17
  article-title: A physics-informed neural network-based approach to reconstruct the tornado vortices from limited observed data.
  publication-title: J Wind Eng Ind Aerodyn.
  doi: 10.1016/j.jweia.2023.105534
– year: 2000
  ident: ref-32
  article-title: Terrestrial environment (climatic) criteria handbook for use in aerospace vehicle development.
  publication-title: National Aeronautics and Space Administration, nasa-hdbk-1001 edition.
– volume: 192
  year: 2021
  ident: ref-12
  article-title: Using recurrent neural networks for localized weather prediction with combined use of public airport data and on-site measurements.
  publication-title: Build Environ.
  doi: 10.1016/j.buildenv.2021.107601
– volume: 104
  start-page: 1-8
  year: 2019
  ident: ref-21
  article-title: Characterization of very-large-scale motions in high-Re pipe flows.
  publication-title: Exp Therm Fluid Sci.
  doi: 10.1016/j.expthermflusci.2019.02.001
– year: 2024
  ident: ref-38
  article-title: Scripts and video of 'Physics-Informed Neural Networks for high-resolution weather reconstruction from sparse weather stations'.
  publication-title: Zenodo.
– volume: 379
  year: 2021
  ident: ref-10
  article-title: Physics-informed machine learning: case studies for weather and climate modelling.
  publication-title: Phil Trans R Soc A.
  doi: 10.1098/rsta.2020.0093
– volume: 5
  year: 2021
  ident: ref-8
  article-title: Convection indicator for pre-tactical air traffic flow management using neural networks.
  publication-title: Mach Learn Appl.
  doi: 10.1016/j.mlwa.2021.100053
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Snippet Background The accurate provision of weather information holds immense significance to many disciplines. One example corresponds to the field of air traffic...
The accurate provision of weather information holds immense significance to many disciplines. One example corresponds to the field of air traffic management,...
There is currently a great interest in the many uses of artificial intelligence (AI) and how it is affecting our daily lives. From the robotics field to the...
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SubjectTerms Artificial intelligence
eng
fluid flows
fluid mechanics
machine learning
physics-informed neural networks
weather reconstruction
Title Physics-informed neural networks for high-resolution weather reconstruction from sparse weather stations
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