Physics-informed machine learning: case studies for weather and climate modelling

K Kashinath, M Mustafa, A Albert… - … of the Royal …, 2021 - royalsocietypublishing.org
Machine learning (ML) provides novel and powerful ways of accurately and efficiently
recognizing complex patterns, emulating nonlinear dynamics, and predicting the spatio …

Iterative integration of deep learning in hybrid Earth surface system modelling

M Chen, Z Qian, N Boers, AJ Jakeman… - Nature Reviews Earth & …, 2023 - nature.com
Earth system modelling (ESM) is essential for understanding past, present and future Earth
processes. Deep learning (DL), with the data-driven strength of neural networks, has …

[PDF][PDF] Integrating physics-based modeling with machine learning: A survey

J Willard, X Jia, S Xu, M Steinbach… - arXiv preprint arXiv …, 2020 - beiyulincs.github.io
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

Towards neural Earth system modelling by integrating artificial intelligence in Earth system science

C Irrgang, N Boers, M Sonnewald, EA Barnes… - Nature Machine …, 2021 - nature.com
Earth system models (ESMs) are our main tools for quantifying the physical state of the Earth
and predicting how it might change in the future under ongoing anthropogenic forcing. In …

A review of earth artificial intelligence

Z Sun, L Sandoval, R Crystal-Ornelas… - Computers & …, 2022 - Elsevier
In recent years, Earth system sciences are urgently calling for innovation on improving
accuracy, enhancing model intelligence level, scaling up operation, and reducing costs in …

Machine learning with data assimilation and uncertainty quantification for dynamical systems: a review

S Cheng, C Quilodrán-Casas, S Ouala… - IEEE/CAA Journal of …, 2023 - ieeexplore.ieee.org
Data assimilation (DA) and uncertainty quantification (UQ) are extensively used in analysing
and reducing error propagation in high-dimensional spatial-temporal dynamics. Typical …

Layering, instabilities, and mixing in turbulent stratified flows

CP Caulfield - Annual Review of Fluid Mechanics, 2021 - annualreviews.org
Understanding how turbulence leads to the enhanced irreversible transport of heat and
other scalars such as salt and pollutants in density-stratified fluids is a fundamental and …

Data‐driven equation discovery of ocean mesoscale closures

L Zanna, T Bolton - Geophysical Research Letters, 2020 - Wiley Online Library
The resolution of climate models is limited by computational cost. Therefore, we must rely on
parameterizations to represent processes occurring below the scale resolved by the models …

Physically interpretable neural networks for the geosciences: Applications to earth system variability

BA Toms, EA Barnes… - Journal of Advances in …, 2020 - Wiley Online Library
Neural networks have become increasingly prevalent within the geosciences, although a
common limitation of their usage has been a lack of methods to interpret what the networks …

Enforcing analytic constraints in neural networks emulating physical systems

T Beucler, M Pritchard, S Rasp, J Ott, P Baldi… - Physical Review Letters, 2021 - APS
Neural networks can emulate nonlinear physical systems with high accuracy, yet they may
produce physically inconsistent results when violating fundamental constraints. Here, we …