Koda, Masato Optimum design in fluid mechanical distributed-parameter systems. (English) Zbl 0571.49022 Large Scale Syst. 6, 279-291 (1984). A new numerical method for the computation of the sensitivity of the design performance functional with respect to flow boundary variations is used to study the optimum design problems in fluid mechanics. This method is based on a modification of schemes in functional derivative sensitivity analysis and includes a specification of the optimal control algorithms in distributed-parameter systems. The control variable is the location of the boundary. Based on sensitivity considerations, iterative methods are derived for the determination of the optimum boundary location that minimizes a design performance functional defined by flow variables and their derivatives. Necessary conditions for minimum drag profile in time-dependent Navier-Stokes flows are derived and numerical algorithms based on the gradient method are formulated. Cited in 1 ReviewCited in 4 Documents MSC: 90C52 Methods of reduced gradient type 49K40 Sensitivity, stability, well-posedness 76D05 Navier-Stokes equations for incompressible viscous fluids 93B35 Sensitivity (robustness) 93C10 Nonlinear systems in control theory 35Q30 Navier-Stokes equations 49K20 Optimality conditions for problems involving partial differential equations 65K10 Numerical optimization and variational techniques 93B40 Computational methods in systems theory (MSC2010) 93C20 Control/observation systems governed by partial differential equations Keywords:sensitivity of the design performance functional; optimum design problems in fluid mechanics; distributed-parameter systems; optimum boundary location; time-dependent Navier-Stokes flows; numerical algorithms PDFBibTeX XMLCite \textit{M. Koda}, Large Scale Syst. 6, 279--291 (1984; Zbl 0571.49022)