Exploring Physical Latent Spaces for High-Resolution Flow Restoration

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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
We explore training deep neural network models in conjunction with physics simulations via partial differential equations (PDEs), using the simulated degrees of freedom as latent space for a neural network. In contrast to previous work, this paper treats the degrees of freedom of the simulated space purely as tools to be used by the neural network. We demonstrate this concept for learning reduced representations, as it is extremely challenging to faithfully preserve correct solutions over long time-spans with traditional reduced representations, particularly for solutions with large amounts of small scale features. This work focuses on the use of such physical, reduced latent space for the restoration of fine simulations, by training models that can modify the content of the reduced physical states as much as needed to best satisfy the learning objective. This autonomy allows the neural networks to discover alternate dynamics that significantly improve the performance in the given tasks. We demonstrate this concept for various fluid flows ranging from different turbulence scenarios to rising smoke plumes.
Description

CCS Concepts: Computing methodologies → Physical simulation; Learning latent representations

        
@inproceedings{
10.2312:vmv.20231243
, booktitle = {
Vision, Modeling, and Visualization
}, editor = {
Guthe, Michael
and
Grosch, Thorsten
}, title = {{
Exploring Physical Latent Spaces for High-Resolution Flow Restoration
}}, author = {
Paliard, Chloé
and
Thuerey, Nils
and
Um, Kiwon
}, year = {
2023
}, publisher = {
The Eurographics Association
}, ISBN = {
978-3-03868-232-5
}, DOI = {
10.2312/vmv.20231243
} }
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