Turbulence has associated chaotic features. In the past couple of decades, there has been
growing interest in the study of these features as an alternative means of understanding …

In this paper we demonstrate the ability to perform gradient-free aerodynamic shape
optimization using Large Eddy Simulation (LES) with the Mesh Adaptive Direct Search …

In an acoustic cavity with a heat source, such as a flame in a gas turbine, the thermal energy
of the heat source can be converted into acoustic energy, which may generate a loud …

This paper uses compressible flow simulation to analyse the hyperbolicity, shadowing
directions and sensitivities of a weakly turbulent three-dimensional cylinder flow at Reynolds …

We develop the NILSAS algorithm, which performs adjoint sensitivity analysis of chaotic
systems via computing the adjoint shadowing direction. NILSAS constrains its minimization …

Abstract We present the Finite Difference Non-Intrusive Least Squares Shadowing (FD-
NILSS) algorithm for computing sensitivities of long-time averaged quantities in chaotic …

In chaotic systems, such as turbulent flows, the solutions to tangent and adjoint equations
exhibit an unbounded growth in their norms. This behavior renders the instantaneous …

The response to small perturbations of the Sandia CH 4/air flame series is studied using a
dynamical systems formulation. Here, the Sandia D and E turbulent partially-premixed …

Third, we introduced a non-modal analysis theory that characterizes the numerical
dissipation of high-order discretization schemes, including hybridized DG methods. Non …

In the dynamical systems approach to describing turbulent or otherwise chaotic flows, an
important quantity is the Lyapunov exponents and vectors that characterize the strange …