The current generation of axial turbomachines is the culmination of decades of experience,
and detailed understanding of the underlying flow physics has been a key factor for …

Computational fluid dynamics (CFD) plays an essential role to analyze fluid flows and heat
transfer situations by using numerical methods. Turbomachines involve internal and external …

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 …

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 …

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 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 harmonic balance technique for the analysis of unsteady flows about helicopter rotors in
forward flight and hover is presented in this paper. The aerodynamics of forward flight are …

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 …

HALL et al.[1, 2] proposed the harmonic balance technique, a computationally efficient
technique for computing complex time-periodic flows. Since then, a number of investigators …