Boundary layer stability and transition analysis using the nonlinear One-Way Navier-Stokes approach
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| Udgivet i: | arXiv.org (Sep 25, 2024), p. n/a |
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Cornell University Library, arXiv.org
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| 001 | 3110539276 | ||
| 003 | UK-CbPIL | ||
| 022 | |a 2331-8422 | ||
| 035 | |a 3110539276 | ||
| 045 | 0 | |b d20240925 | |
| 100 | 1 | |a Sleeman, Michael K | |
| 245 | 1 | |a Boundary layer stability and transition analysis using the nonlinear One-Way Navier-Stokes approach | |
| 260 | |b Cornell University Library, arXiv.org |c Sep 25, 2024 | ||
| 513 | |a Working Paper | ||
| 520 | 3 | |a 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 direct numerical simulation (DNS), 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 DNS results from the literature. We demonstrate that NOWNS supports non-modal instabilities, is more robust to numerical noise, and converges for stronger nonlinearities, as compared to NPSE. | |
| 653 | |a Navier-Stokes equations | ||
| 653 | |a Cost analysis | ||
| 653 | |a Parabolized stability equations | ||
| 653 | |a Nonlinear analysis | ||
| 653 | |a Boundary layer stability | ||
| 653 | |a Fluid flow | ||
| 653 | |a Domain names | ||
| 653 | |a Computing costs | ||
| 653 | |a Stability analysis | ||
| 653 | |a Direct numerical simulation | ||
| 653 | |a Boundary layer transition | ||
| 653 | |a Three dimensional boundary layer | ||
| 653 | |a Low speed | ||
| 653 | |a Nonlinearity | ||
| 700 | 1 | |a Lakebrink, Matthew T | |
| 700 | 1 | |a Colonius, Tim | |
| 773 | 0 | |t arXiv.org |g (Sep 25, 2024), p. n/a | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3110539276/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full text outside of ProQuest |u http://arxiv.org/abs/2409.17274 |