Boundary and internal conditions for adjoint fluid-flow problems


Autoria(s): VOLPE, E. V.; SANTOS, L. C. de Castro
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2009

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.

FAPESP[97/01229-7]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

FAPESP[99/03105-9]

Identificador

JOURNAL OF ENGINEERING MATHEMATICS, v.65, n.1, p.1-24, 2009

0022-0833

http://producao.usp.br/handle/BDPI/30559

10.1007/s10665-008-9258-7

http://dx.doi.org/10.1007/s10665-008-9258-7

Idioma(s)

eng

Publicador

SPRINGER

Relação

Journal of Engineering Mathematics

Direitos

restrictedAccess

Copyright SPRINGER

Palavras-Chave #Adjoint method #Adjoint boundary conditions #Integral approach #Realizable flow variations #SENSITIVITY-ANALYSIS #FUNCTIONAL OUTPUTS #DISCRETE ADJOINT #GRID ADAPTATION #EULER EQUATIONS #DESIGN #OPTIMIZATION #MESHES #MODELS #Engineering, Multidisciplinary #Mathematics, Interdisciplinary Applications
Tipo

article

original article

publishedVersion