| Autor: |
Takashi NAKAZAWA, Takashi MISAKA, Clair POIGNARD |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Journal of Fluid Science and Technology, Vol 16, Iss 1, Pp JFST0002-JFST0002 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
1880-5558 |
| DOI: |
10.1299/jfst.2021jfst0002 |
| Popis: |
This paper presents an optimal design obtained as a shape optimization problem in a domain with a singular point. For shape optimization, the eigenvalue in Snapshot Proper Orthogonal Decomposition (Snapshot POD) is defined as a cost function. The main problems are a Non-stationary Navier–Stokes problem and eigenvalue problem of Snapshot POD. An objective functional is described using Lagrange multipliers and finite element method. Two-dimensional open cavity flow is adopted for an initial domain, where the domain includes a singular point. In this paper, two kinds of sensitivities assuming velocity vector in H1 and H2 are used. Using H1 gradient method for domain deformation, all triangles over a mesh are deformed as the cost function decreases. Finally, eigenvalues of Snapshot POD are compared in the initial and optimal domains. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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