1 code implementation • 27 Feb 2024 • Boyang Chen, Claire E. Heaney, Christopher C. Pain
Recently, there has been a huge effort focused on developing highly efficient open source libraries to perform Artificial Intelligence (AI) related computations on different computer architectures (for example, CPUs, GPUs and new AI processors).
1 code implementation • 12 Jan 2024 • Boyang Chen, Claire E. Heaney, Jefferson L. M. A. Gomes, Omar K. Matar, Christopher C. Pain
The idea comes from the observation that convolutional layers can be used to express a discretisation as a neural network whose weights are determined by the numerical method, rather than by training, and hence, we refer to this approach as Neural Networks for PDEs (NN4PDEs).
no code implementations • 7 Apr 2022 • Sibo Cheng, Jianhua Chen, Charitos Anastasiou, Panagiota Angeli, Omar K. Matar, Yi-Ke Guo, Christopher C. Pain, Rossella Arcucci
The new approach is tested on a high-dimensional CFD application of a two-phase liquid flow with non-linear observation operators that current Latent Assimilation methods can not handle.
1 code implementation • 13 Feb 2022 • Claire E. Heaney, Zef Wolffs, Jón Atli Tómasson, Lyes Kahouadji, Pablo Salinas, André Nicolle, Omar K. Matar, Ionel M. Navon, Narakorn Srinil, Christopher C. Pain
The whole framework is applied to multiphase slug flow in a horizontal pipe for which an AI-DDNIROM is trained on high-fidelity CFD simulations of a pipe of length 10 m with an aspect ratio of 13:1, and tested by simulating the flow for a pipe of length 98 m with an aspect ratio of almost 130:1.
no code implementations • 28 May 2021 • Vinicius L. S. Silva, Claire E. Heaney, Nenko Nenov, Christopher C. Pain
The results show that the proposed GN-based ROM can efficiently quantify uncertainty and accurately match the measurements and the golden standard, using only a few unconditional simulations of the full-order numerical PDE model.
no code implementations • 17 May 2021 • Vinicius L. S. Silva, Claire E. Heaney, Yaqi Li, Christopher C. Pain
To predict the spread of COVID-19 in an idealised town, we apply these methods to a compartmental model in epidemiology that is able to model space and time variations.
2 code implementations • 3 Feb 2021 • César Quilodrán-Casas, Vinicius Santos Silva, Rossella Arcucci, Claire E. Heaney, Yike Guo, Christopher C. Pain
Here we introduce two digital twins of a SEIRS model applied to an idealised town.
1 code implementation • 24 Nov 2020 • Claire E. Heaney, Yuling Li, Omar K. Matar, Christopher C. Pain
The space-filling curves (SFCs) are used to find an ordering of the nodes or cells that can transform multi-dimensional solutions on unstructured meshes into a one-dimensional (1D) representation, to which 1D convolutional layers can then be applied.
no code implementations • 15 Aug 2020 • Toby Phillips, Claire E. Heaney, Paul N. Smith, Christopher C. Pain
Using an autoencoder for dimensionality reduction, this paper presents a novel projection-based reduced-order model for eigenvalue problems.