Rapid increase in computing power has made a huge difference in scales and complexities
of the problems in turbomachinery that we can tackle by use of computational fluid dynamics …

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 …

In this paper, we briefly review the classical harmonic balance method, and describe the
adaptation of the method required for its application to computational fluid dynamics models …

This article describes a nonlinear frequency domain method for the simulation of unsteady
blade row interaction problems across several blade rows in turbomachinery. The capability …

This study investigates vibrational transfer and energy flow in nonlinearly coupled systems,
each subjected to a harmonic force with different excitation frequency. A nonlinear joint …

In the absence of instabilities, the large deterministic scales of turbomachinery flows
resulting from the periodic rotation of blades can be considered periodic in time. Such flows …

A time-domain harmonic balance method for the analysis of almost-periodic (multi-
harmonics) flows is presented. This method relies on Fourier analysis to derive an efficient …

ACCURATE and efficient prediction of limit cycle oscillations (LCOs) of turbomachinery
blades continues to be a challenging problem because of the complex physical phenomena …

An aeroelastic model for wind turbine blades derived from the unsteady Navier‐Stokes
equations and a mode shape–based structural dynamics model are presented. For turbulent …

The flutter CFD calculations conducted in industry generally use a single-row, single-
passage approach with a minimum of detailing to reduce the computational time as much as …