Boundary layer stability analysis using the nonlinear One-Way Navier-Stokes approach Article Swipe
Michael K. Sleeman
,
Matthew T. Lakebrink
,
Tim Colonius
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2409.17274
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2409.17274
We extend the One-Way Navier Stokes (OWNS) approach to support nonlinear interactions between waves of different frequencies, which will enable nonlinear analysis of instability and transition. In OWNS, the linearized Navier-Stokes equations are parabolized and solved in the frequency domain as a spatial initial-value (marching) problem. OWNS yields a reduced computational cost compared to global solvers, while also conferring numerous advantages over the parabolized stability equations (PSE), despite its higher computational cost relative to PSE, that we seek to extend to nonlinear analysis. We validate the nonlinear OWNS (NOWNS) method by examining nonlinear evolution of two- and three-dimensional disturbances in a low-speed Blasius boundary layer compared to nonlinear PSE (NPSE) and direct numerical simulation (DNS) results from the literature. We demonstrate that NOWNS can be used to simulate flows involve blowing/suction strips, is more robust to numerical noise, and converges for stronger nonlinearities, as compared to NPSE.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2409.17274
- https://arxiv.org/pdf/2409.17274
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4403795515
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- OpenAlex ID
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https://openalex.org/W4403795515Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2409.17274Digital Object Identifier
- Title
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Boundary layer stability analysis using the nonlinear One-Way Navier-Stokes approachWork title
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preprintOpenAlex work type
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enPrimary language
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2024Year of publication
- Publication date
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2024-09-25Full publication date if available
- Authors
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Michael K. Sleeman, Matthew T. Lakebrink, Tim ColoniusList of authors in order
- Landing page
-
https://arxiv.org/abs/2409.17274Publisher landing page
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https://arxiv.org/pdf/2409.17274Direct link to full text PDF
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2409.17274Direct OA link when available
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Nonlinear system, Boundary layer, Stability (learning theory), Mathematics, Mathematical analysis, Boundary (topology), Layer (electronics), Physics, Mechanics, Materials science, Computer science, Composite material, Quantum mechanics, Machine learningTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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