Gjw. Hou et al., DISCRETE SHAPE SENSITIVITY EQUATIONS FOR AERODYNAMIC PROBLEMS, International journal for numerical methods in engineering, 37(13), 1994, pp. 2251-2266
Intensive research and development in Computational Fluid Dynamics (CF
D) has recently produced many powerful CFD codes to simulate complex a
erodynamic phenomena. However, in order to enhance the usefulness of t
hese CFD codes for design practice, development of design sensitivity
equations compatible to these codes becomes very important. This paper
represents a part of such an effort to develop a sensitivity analysis
methodology that enables the sensitivity equations to be implemented
into existing CFD codes with minimal code modification. The methodolog
y is based upon a pre-elimination procedure which accounts for consist
ently linearized boundary conditions. Formulations of both the direct
differentiation and the adjoint variable methods will be presented in
the paper.