Nail Yamaleev, North Carolina A&T State University


Adjoint-based Methodology for Time-dependent Aerodynamic Optimization


Abstract: Time-dependent optimization problems arise in various aerodynamic applications such as shape optimization, active and passive flow control, reduction of noise level and airframe vibration, delaying transition to turbulence, etc. In this talk, I will present a discrete adjoint-based methodology for solving this class of large-scale PDE-constrained optimization problems. Adjoint-based methods are particularly attractive for solving this class of aerodynamic optimization problems, because their computational complexity is independent of the number of design/control variables. In contrast to steady state optimization, the time-dependent optimization based on the adjoint formulation requires backward-in-time integration of the adjoint equations over the entire time interval considered, which drastically increases the memory and CPU time. Various techniques that can be used to reduce the memory and computational costs will be discussed. I will also present time-dependent optimal flow control and shape optimization problems to illustrate this adjoint-based optimization methodology.

Address: Department of Mathematics, North Carolina A&T State University, 1601 E. Market Street, Greensboro, NC 27411 Go to Professor Yamaleev's department website.