[HTML][HTML] Accuracy of CFD simulations in urban aerodynamics and microclimate: Progress and challenges

Y Tominaga, LL Wang, ZJ Zhai, T Stathopoulos - Building and Environment, 2023 - Elsevier
This review outlines historical and recent research progress on the accuracy of
computational fluid dynamics (CFD) simulations of urban aerodynamics and microclimates …

[HTML][HTML] Machine learning for numerical weather and climate modelling: a review

CO de Burgh-Day… - Geoscientific Model …, 2023 - gmd.copernicus.org
Abstract Machine learning (ML) is increasing in popularity in the field of weather and climate
modelling. Applications range from improved solvers and preconditioners, to …

Neural operator: Learning maps between function spaces with applications to pdes

N Kovachki, Z Li, B Liu, K Azizzadenesheli… - Journal of Machine …, 2023 - jmlr.org
The classical development of neural networks has primarily focused on learning mappings
between finite dimensional Euclidean spaces or finite sets. We propose a generalization of …

Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems

T Tripura, S Chakraborty - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
With massive advancements in sensor technologies and Internet-of-things (IoT), we now
have access to terabytes of historical data; however, there is a lack of clarity on how to best …

基于神经网络的偏微分方程求解方法研究综述

查文舒, 李道伦, 沈路航, 张雯, 刘旭亮 - 力学学报, 2022 - lxxb.cstam.org.cn
神经网络作为一种强大的信息处理工具在计算机视觉, 生物医学, 油气工程领域得到广泛应用,
引发多领域技术变革. 深度学习网络具有非常强的学习能力, 不仅能发现物理规律 …

Weak SINDy for partial differential equations

DA Messenger, DM Bortz - Journal of Computational Physics, 2021 - Elsevier
Abstract Sparse Identification of Nonlinear Dynamics (SINDy) is a method of system
discovery that has been shown to successfully recover governing dynamical systems from …

Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation

Q Lou, X Meng, GE Karniadakis - Journal of Computational Physics, 2021 - Elsevier
The Boltzmann equation with the Bhatnagar-Gross-Krook collision model (Boltzmann-BGK
equation) has been widely employed to describe multiscale flows, ie, from the hydrodynamic …

Building thermal modeling and model predictive control with physically consistent deep learning for decarbonization and energy optimization

T Xiao, F You - Applied Energy, 2023 - Elsevier
Being a primary contributor to global energy consumption and energy-related carbon
emissions, the building and building construction sectors are a crucial player in the …

The random feature model for input-output maps between banach spaces

NH Nelsen, AM Stuart - SIAM Journal on Scientific Computing, 2021 - SIAM
Well known to the machine learning community, the random feature model is a parametric
approximation to kernel interpolation or regression methods. It is typically used to …

Wavelet neural operator: a neural operator for parametric partial differential equations

T Tripura, S Chakraborty - arXiv preprint arXiv:2205.02191, 2022 - arxiv.org
With massive advancements in sensor technologies and Internet-of-things, we now have
access to terabytes of historical data; however, there is a lack of clarity in how to best exploit …