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 …

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 …

A computational framework is proposed for the linear modal and nonmodal analysis of fluid
systems consisting of a periodic array of n identical units. A formulation in either time or …

This dissertation work proposes two algorithms for the simulation of time-periodic unsteady
problems via the solution of Unsteady Reynolds-Averaged Navier-Stokes (URANS) …

BLADE row interactions in multistage turbomachinery play a vital role in the overall
aerodynamic and aeromechanical performance of modern gas turbine engines [1–6] …

The full engine simulation of the GE90 Turbofan used the Average Passage Code for
turbomachinery and the National Combustor Code for the combustor. It utilized the largest …

WING flutter is a well-known aeroelastic phenomenon that can cause serious damage or
even destroy an aircraft when a certain limit speed is exceeded [1, 2]. However, in an …

Gas turbine engines operating in a hostile environment, polluted with sand or dust particles,
are susceptible to erosion damage, mostly at the front axial fans and compressors …

In turbomachinery, the continuous drive towards low weight and improved efficiency has led
to the design of slender and lighter blades, resulting in higher stress levels and …