172 citations · 346 across the 9 of their papers we have counts for
9 papers
Multiple Shooting Shadowing for Sensitivity Analysis of Chaotic Dynamical Systems
Patrick J. Blonigan, Qiqi Wang
Sensitivity analysis methods are important tools for research and design with simulations. Many important simulations exhibit chaotic dynamics, including scale-resolving turbulent…
Toward a chaotic adjoint for LES
Patrick J. Blonigan, Pablo Fernandez, Scott M. Murman +3
Adjoint-based sensitivity analysis methods are powerful tools for engineers who use flow simulations for design. However, the conventional adjoint method breaks down for scale-reso…
Parallel optimization for large eddy simulations
Chaitanya Talnikar, Patrick Blonigan, Julien Bodart +1
We developed a parallel Bayesian optimization algorithm for large eddy simulations. These simulations challenge optimization methods because they take hours or days to compute, and…
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 a Modified Kuramoto-Sivashinsky Equation
Patrick J. Blonigan, Qiqi Wang
Computational methods for sensitivity analysis are invaluable tools for scientists and engineers investigating a wide range of physical phenomena. However, many of these methods fa…
Probability density adjoint for sensitivity analysis of the Mean of Chaos
Patrick Blonigan, Qiqi Wang
Sensitivity analysis, especially adjoint based sensitivity analysis, is a powerful tool for engineering design which allows for the efficient computation of sensitivities with resp…
Multigrid-in-time for sensitivity analysis of chaotic dynamical systems
Patrick Blonigan, Qiqi Wang
The following paper discusses the application of a multigrid-in-time scheme to Least Squares Shadowing (LSS), a novel sensitivity analysis method for chaotic dynamical systems. Whi…
Towards Scalable Parallel-in-Time Turbulent Flow Simulations
Qiqi Wang, Steven Gomez, Patrick Blonigan +2
We present a reformulation of unsteady turbulent flow simulations. The initial condition is relaxed and information is allowed to propagate both forward and backward in time. Simul…
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…