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 …

Recent advances and challenges in the generation of reduced order aerodynamic models
using computational fluid dynamics are presented. The models reviewed are those that can …

The concept of isogeometric analysis is proposed. Basis functions generated from NURBS
(Non-Uniform Rational B-Splines) are employed to construct an exact geometric model. For …

The Time Spectral Algorithm is proposed for the fast and efficient computation of
timeperiodic turbulent Navier-Stokes calculations past two-and three-dimensional bodies …

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 …

Polynomial splines over hierarchical T-meshes (PHT-splines) have an efficient and simple
local refinement algorithm, but fail to represent exactly certain complex engineering …

TRADITIONALLY, investigators have used two main families of aerodynamic theories to
model unsteady flows in turbomachinery: time-linearized theories [1, 2] and nonlinear …

COMPUTATIONAL fluid dynamics (CFD) is increasingly being used to both augment and
create an aerodynamic performance database for aircraft configurations. This aerodynamic …

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 …

This paper presents the Time Spectral Method, which is capable of significantly reducing the
CPU requirements for time periodic flows. Here the main focus is turbomachinery …