Approximation of pressure perturbations by FEM
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2011
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| _version_ | 1866929500417163264 |
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| author | Bichir, Cătălin Liviu Georgescu, Adelina |
| author_facet | Bichir, Cătălin Liviu Georgescu, Adelina |
| contents | In the mathematical problem of linear hydrodynamic stability for shear flows against Tollmien-Schlichting perturbations, the continuity equation for the perturbation of the velocity is replaced by a Poisson equation for the pressure perturbation. The resulting eigenvalue problem, an alternative form for the two-point eigenvalue problem for the Orr-Sommerfeld equation, is formulated in a variational form and this one is approximated by finite element method (FEM). Possible applications to concrete cases are revealed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1110_4507 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Approximation of pressure perturbations by FEM Bichir, Cătălin Liviu Georgescu, Adelina Numerical Analysis 76E05, 35J05, 65L60, 76M10, 65F15 In the mathematical problem of linear hydrodynamic stability for shear flows against Tollmien-Schlichting perturbations, the continuity equation for the perturbation of the velocity is replaced by a Poisson equation for the pressure perturbation. The resulting eigenvalue problem, an alternative form for the two-point eigenvalue problem for the Orr-Sommerfeld equation, is formulated in a variational form and this one is approximated by finite element method (FEM). Possible applications to concrete cases are revealed. |
| title | Approximation of pressure perturbations by FEM |
| topic | Numerical Analysis 76E05, 35J05, 65L60, 76M10, 65F15 |
| url | https://arxiv.org/abs/1110.4507 |