This paper is concerned with the problem of enhancing convection-cooling via active control incompressible velocity field, described by a stationary diffusion–convection model. essentially leads to bilinear optimal problem. A rigorous proof existence an presented and first order optimality conditions are derived for solving using variational inequality. Moreover, second sufficient established c...

A time-domain boundary condition is derived that accounts for the acoustic impedance of a thin boundary layer over an impedance boundary, based on the asymptotic frequency-domain boundary condition of Brambley [2011, AIAA J. 49(6), pp. 1272–1282]. A finite-difference reference implementation of this condition is presented and carefully validated against both an analytic solution and a discrete ...

A new, computationallyand statistically-efficient algorithm, the Fast χ algorithm (Fχ), can find a periodic signal with harmonic content in irregularlysampled data with non-uniform errors. The algorithm calculates the minimized χ as a function of frequency at the desired number of harmonics, using Fast Fourier Transforms to provide O(N logN) performance. The code for a reference implementation ...