Full Domain Analysis in Fluid Dynamics

Fuente: arXiv
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Auteurs principaux: Hagg, Alexander, Gaier, Adam, Wilde, Dominik, Asteroth, Alexander, Foysi, Holger, Reith, Dirk
Format: Preprint
Publié: 2025
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author Hagg, Alexander
Gaier, Adam
Wilde, Dominik
Asteroth, Alexander
Foysi, Holger
Reith, Dirk
author_facet Hagg, Alexander
Gaier, Adam
Wilde, Dominik
Asteroth, Alexander
Foysi, Holger
Reith, Dirk
contents Novel techniques in evolutionary optimization, simulation and machine learning allow for a broad analysis of domains like fluid dynamics, in which computation is expensive and flow behavior is complex. Under the term of full domain analysis we understand the ability to efficiently determine the full space of solutions in a problem domain, and analyze the behavior of those solutions in an accessible and interactive manner. The goal of full domain analysis is to deepen our understanding of domains by generating many examples of flow, their diversification, optimization and analysis. We define a formal model for full domain analysis, its current state of the art, and requirements of subcomponents. Finally, an example is given to show what we can learn by using full domain analysis. Full domain analysis, rooted in optimization and machine learning, can be a helpful tool in understanding complex systems in computational physics and beyond.
format Preprint
id arxiv_https___arxiv_org_abs_2505_22275
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Full Domain Analysis in Fluid Dynamics
Hagg, Alexander
Gaier, Adam
Wilde, Dominik
Asteroth, Alexander
Foysi, Holger
Reith, Dirk
Machine Learning
Neural and Evolutionary Computing
68U01
I.2.1; I.2.6
Novel techniques in evolutionary optimization, simulation and machine learning allow for a broad analysis of domains like fluid dynamics, in which computation is expensive and flow behavior is complex. Under the term of full domain analysis we understand the ability to efficiently determine the full space of solutions in a problem domain, and analyze the behavior of those solutions in an accessible and interactive manner. The goal of full domain analysis is to deepen our understanding of domains by generating many examples of flow, their diversification, optimization and analysis. We define a formal model for full domain analysis, its current state of the art, and requirements of subcomponents. Finally, an example is given to show what we can learn by using full domain analysis. Full domain analysis, rooted in optimization and machine learning, can be a helpful tool in understanding complex systems in computational physics and beyond.
title Full Domain Analysis in Fluid Dynamics
topic Machine Learning
Neural and Evolutionary Computing
68U01
I.2.1; I.2.6
url https://arxiv.org/abs/2505.22275