The harmonic balance (HB) method is one of the most commonly used methods for solving
periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is …

The harmonic balance method has seen an increasing popularity in the solution of time-
periodic problems because of its computational efficiency and its ability to model …

This study presents a multi-round shape optimization method based on the aerodynamic
reduced order model. In this method, each optimization round employs the first-order Taylor …

This paper extends the use of frequency-domain flow solvers to transonic buffet in turbulent
flow regime. To do so, a time-spectral method with frequency adaptation is developed for the …

This paper aims at evaluating an efficient combination of a hybrid Backward Difference
Formula/Harmonic Balance Method and the necessary time dependent exit boundary …

The present paper investigates a time-domain harmonic balance method as an alternative to
classical time-marching schemes for stability studies of turbomachineries toward flutter. A …

Numerical results from a three-dimensional (3D) computational fluid dynamics (CFD) model
of the Jetstream 31 aircraft in conditions of one engine inoperative are presented. The …

We investigate the application of a temporal spectral viscosity operator to eliminate aliasing
errors associated with the high-dimensional harmonic balance technique, which is an …

A multi-passage harmonic balance method is presented for flutter prediction in multi-row
configurations, and particular focus is on simulation of more than two blade rows. The …

An efficient aeroelastic eigenvalue method based on time domain system identification has
been developed to analyze coupled-mode flutter in turbomachinery. The aeroelastic stability …