The objective of this article is to review some developments in the use of adjoint equations in
hydrodynamic stability theory. Adjoint-based sensitivity analysis finds both analytical and …

In a thermoacoustic system, such as a flame in a combustor, heat release oscillations couple
with acoustic pressure oscillations. If the heat release is sufficiently in phase with the …

In this paper, a new computational algorithm for the numerical solution of the adjoint
equations for the nonlinear optimal control problem is introduced. To this end, the main …

In this paper, a new methodology is proposed to address the problems of suppressing
structural vibrations and attenuating contact forces in nonlinear mechanical systems. The …

An adjoint approach is developed to compute the receptivity of the rotating disc boundary
layer to surface roughness. The adjoint linearised Navier–Stokes equations, in cylindrical …

This study investigates the drag reduction of two tandem square cylinders under steady
suction control at Reynolds numbers 50–200. The position where the suction flow should be …

A reduced description of exact coherent structures in the transition regime of plane parallel
shear flows is developed, based on the Reynolds number scaling of streamwise-averaged …

The present experimental study is devoted to examination of the vortex receptivity
mechanism associated with excitation of unsteady cross-flow (CF) waves due to scattering of …

Adjoint solutions of the linearized incompressible Navier–Stokes equations are presented
for a cross-flow-dominated swept-wing boundary layer. For the first time these have been …

In fluid dynamical systems, it is not known a priori whether disturbances grow either in space
or in time or as spatio-temporal structures. However, for boundary layers, it is customary to …