Contribution to the Optimal Shape Design of Two-Dimensional Internal Flows with Embedded Shocks
✍ Scribed by Angelo Iollo; Manuel D. Salas
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 358 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
usually calculated with a black-box method. Such a method consists in using finite differences to determine the gradient
We explore the praticability of optimal shape design for flows modeled by the Euler equations. We define a functional whose of the functional, and therefore, for each gradient computaminimum represents the optimality condition. The gradient of the tion, it needs as many flow-field solutions as the number functional with respect to the geometry is calculated with the Laof design variables.
grange multipliers, which are determined by solving a costate equa-In using models of increased complexity to describe the tion. The optimization problem is then examined by comparing the flow field, such as Euler or Navier-Stokes equations, the performance of several gradient-based optimization algorithms. In this formulation, the flow field can be computed to an arbitrary order development of new algorithms is necessary to reduce the of accuracy. Finally, some results for internal flows with embedded computational load. In this paper, we investigate one shocks are presented, including a case for which the solution to method for achieving this reduction.
the inverse problem does not belong to the design space. ᮊ 1996
The cost of the optimization comes from three sources.