This report documents the results of a study to address the long range, strategic planning
required by NASA's Revolutionary Computational Aerosciences (RCA) program in the area …

Sensitivity analysis methods are important tools for research and design with simulations.
Many important simulations exhibit chaotic dynamics, including scale-resolving turbulent …

Parallel-in-time methods have become increasingly popular in the simulation of time-
dependent numerical PDEs, allowing for the efficient use of additional message passing …

Abstract Direct Numerical Simulation of turbulent flows is a computationally demanding
problem that requires efficient parallel algorithms. We investigate the applicability of the time …

In this work we focus on reducing the wall clock time required to compute statistical
estimators of highly chaotic incompressible flows on high performance computing systems …

Computational methods for sensitivity analysis are invaluable tools for scientists and
engineers investigating a wide range of physical phenomena. However, many of these …

For a parameterized hyperbolic system dudt=f(u,s) the derivative of the ergodic average
⟨J⟩=T→∞1T\int_0^TJ(u(t),s) to the parameter s can be computed via the least squares …

We consider time-average quantities of chaotic systems and their sensitivity to system
parameters. When the parameters are random variables with a prescribed probability …

As CPU clock speeds have stagnated and high performance computers continue to have
ever higher core counts, increased parallelism is needed to take advantage of these new …

We propose a preconditioner that can accelerate the rate of convergence of the Multiple
Shooting Shadowing (MSS) method [1]. This recently proposed method can be used to …