Boundary and internal conditions for adjoint fluid-flow problems

Autor(es)

Volpe, E. V. ^[1] ; de Castro Santos, L. C. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Mech Engn, BR-05508900 Sao Paulo - Brazil

^[2] Univ Sao Paulo, Dept Appl Math, BR-05508900 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ENGINEERING MATHEMATICS; v. 65, n. 1, p. 1-24, SEP 2009.
• Citações Web of Science: 2

Resumo

The ever-increasing robustness and reliability of flow-simulation methods have consolidated CFD as a major tool in virtually all branches of fluid mechanics. Traditionally, those methods have played a crucial role in the analysis of flow physics. In more recent years, though, the subject has broadened considerably, with the development of optimization and inverse design applications. Since then, the search for efficient ways to evaluate flow-sensitivity gradients has received the attention of numerous researchers. In this scenario, the adjoint method has emerged as, quite possibly, the most powerful tool for the job, which heightens the need for a clear understanding of its conceptual basis. Yet, some of its underlying aspects are still subject to debate in the literature, despite all the research that has been carried out on the method. Such is the case with the adjoint boundary and internal conditions, in particular. The present work aims to shed more light on that topic, with emphasis on the need for an internal shock condition. By following the path of previous authors, the quasi-1D Euler problem is used as a vehicle to explore those concepts. The results clearly indicate that the behavior of the adjoint solution through a shock wave ultimately depends upon the nature of the objective functional. (AU)

• Processo FAPESP: 97/01229-7 - Extensao da tecnica do operador adjunto a equacao de euler.
• Beneficiário: Luis Carlos de Castro Santos
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 99/03105-9 - A fixed-point algorithm for the inverse solution of fluid flow equations.
• Beneficiário: Luis Carlos de Castro Santos
• Modalidade de apoio: Auxílio à Pesquisa - Reunião - Exterior