514 citations · 1.7k across the 51 of their papers we have counts for
6 papers · 1 filter
Feasibility analysis of ensemble sensitivity computation in turbulent flows
Nisha Chandramoorthy, Pablo Fernandez, Chaitanya Talnikar +1
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 tang…
Sensitivity analysis on chaotic dynamical systems by Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS)
Angxiu Ni, Qiqi Wang, Pablo Fernandez +1
We present the Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS) algorithm for computing sensitivities of long-time averaged quantities in chaotic dynamical system…
Sensitivity analysis on chaotic dynamical system by Non-Intrusive Least Square Shadowing (NILSS)
Angxiu Ni, Qiqi Wang
This paper develops the non-intrusive formulation of the Least-squares shadowing (LSS) method, for computing the sensitivity of long-time averaged objectives in chaotic dynamical s…
Least Squares Shadowing for Sensitivity Analysis of Turbulent Fluid Flows
Patrick Blonigan, Steven Gomez, Qiqi Wang
Computational methods for sensitivity analysis are invaluable tools for aerodynamics research and engineering design. However, traditional sensitivity analysis methods break down w…
Least Squares Shadowing sensitivity analysis of chaotic limit cycle oscillations
Qiqi Wang, Rui Hu, Patrick Blonigan
The adjoint method, among other sensitivity analysis methods, can fail in chaotic dynamical systems. The result from these methods can be too large, often by orders of magnitude, w…
Forward and Adjoint Sensitivity Computation of Chaotic Dynamical Systems
Qiqi Wang
This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity derivatives in chaotic dynamical systems, such as the Lorenz attractor. The algorithms c…