An introduction to the adjoint approach to design. (English) Zbl 0996.76023

Giles, Michael B.; Pierce, Niles A.

Flow Turbul. Combust. 65, No. 3-4, 393-415 (2000).

Summary: Optimal design methods involving the solution of an adjoint system of equations are an active area of research in computational fluid dynamics, particularly for aeronautical applications. This paper presents an introduction to the subject, emphasising the simplicity of the ideas when viewed in the context of linear algebra. Detailed discussions also include the extension to p.d.e.’s, the construction of the adjoint p.d.e. and its boundary conditions, and the physical significance of the adjoint solution. The paper concludes with examples of the use of adjoint methods for optimising the design of business jets.

MSC:

76D55	Flow control and optimization for incompressible viscous fluids
76B75	Flow control and optimization for incompressible inviscid fluids
76N25	Flow control and optimization for compressible fluids and gas dynamics
76M99	Basic methods in fluid mechanics

Keywords:

computational fluid dynamics; adjoint system of equations; linear algebra; design

Software:

CFL3D; ADIFOR