The principle of minimum pressure gradient: An alternative basis for physics-informed learning of incompressible fluid mechanics Article Swipe
Hussam Alhussein
,
Mohammed F. Daqaq
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1063/5.0197860
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1063/5.0197860
Recent advances in the application of physics-informed learning in the field of fluid mechanics have been predominantly grounded in the Newtonian framework, primarily leveraging Navier–Stokes equations or one of their various derivatives to train a neural network. Here, we propose an alternative approach based on variational methods. The proposed approach uses the principle of minimum pressure gradient combined with the continuity constraint to train a neural network and predict the flow field in incompressible fluids. We describe the underlying principles of the proposed approach, then use a demonstrative example to illustrate its implementation, and show that it reduces the computational time per training epoch when compared to the conventional approach.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1063/5.0197860
- https://pubs.aip.org/aip/adv/article-pdf/doi/10.1063/5.0197860/19870776/045112_1_5.0197860.pdf
- OA Status
- gold
- Cited By
- 8
- References
- 31
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4394567264
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4394567264Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1063/5.0197860Digital Object Identifier
- Title
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The principle of minimum pressure gradient: An alternative basis for physics-informed learning of incompressible fluid mechanicsWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-04-01Full publication date if available
- Authors
-
Hussam Alhussein, Mohammed F. DaqaqList of authors in order
- Landing page
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https://doi.org/10.1063/5.0197860Publisher landing page
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https://pubs.aip.org/aip/adv/article-pdf/doi/10.1063/5.0197860/19870776/045112_1_5.0197860.pdfDirect link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://pubs.aip.org/aip/adv/article-pdf/doi/10.1063/5.0197860/19870776/045112_1_5.0197860.pdfDirect OA link when available
- Concepts
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Fluid mechanics, Compressibility, Basis (linear algebra), Physics, Classical mechanics, Mechanics, Mathematics, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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8Total citation count in OpenAlex
- Citations by year (recent)
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2025: 7, 2024: 1Per-year citation counts (last 5 years)
- References (count)
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31Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.incompressible | 73 |
| abstract_inverted_index.Navier–Stokes | 24 |
| abstract_inverted_index.implementation, | 92 |
| abstract_inverted_index.physics-informed | 6 |
| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 90 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.91311805 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |