Port-Reduced Reduced-Basis Component Method for Steady State Navier–Stokes and Passive Scalar Equations Article Swipe
Amina Benaceur
,
Anthony T. Patera
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.21203/rs.3.rs-1473869/v1
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.21203/rs.3.rs-1473869/v1
We develop a Port-Reduced Reduced-Basis Component approach (PR-RBC) to solve partial differential equations (PDEs) that govern incompressible fluid flows in riverine geometries. The PR-RBC method was initially introduced in the literature for linear problems. In this paper, we extend it to a nonlinear context. Our method is presented for the steady state Navier–Stokes problem with an incompressibility constraint. The model is supplemented with a passive scalar equation. We introduce a new method for the treatment of nonlinearity, incompressibility, and convective effects.
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- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.21203/rs.3.rs-1473869/v1
- https://www.researchsquare.com/article/rs-1473869/latest.pdf
- OA Status
- gold
- Cited By
- 3
- References
- 40
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4220699180
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- OpenAlex ID
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https://openalex.org/W4220699180Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.21203/rs.3.rs-1473869/v1Digital Object Identifier
- Title
-
Port-Reduced Reduced-Basis Component Method for Steady State Navier–Stokes and Passive Scalar EquationsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-03-28Full publication date if available
- Authors
-
Amina Benaceur, Anthony T. PateraList of authors in order
- Landing page
-
https://doi.org/10.21203/rs.3.rs-1473869/v1Publisher landing page
- PDF URL
-
https://www.researchsquare.com/article/rs-1473869/latest.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
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https://www.researchsquare.com/article/rs-1473869/latest.pdfDirect OA link when available
- Concepts
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Port (circuit theory), Steady state (chemistry), Scalar (mathematics), Component (thermodynamics), Basis (linear algebra), Physics, Mathematics, Mechanics, Engineering, Electrical engineering, Thermodynamics, Geometry, Chemistry, Physical chemistryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
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2023: 2, 2022: 1Per-year citation counts (last 5 years)
- References (count)
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40Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |