5 papers
Greedy recursion parameter selection for one-way spatial integration of hyperbolic equations
Michael K. Sleeman, Tim Colonius
Solutions to hyperbolic systems comprise waves propagating at finite speeds. When wave propagation is predominantly unidirectional, one-way wave equations can be used to evolve onl…
Resolvent4py: a parallel Python package for analysis, model reduction and control of large-scale linear systems
Alberto Padovan, Vishal Anantharaman, Clarence W. Rowley +3
In this paper, we present resolvent4py, a parallel Python package for the analysis, model reduction and control of large-scale linear systems with millions or billions of degrees o…
Normality-based analysis of multiscale velocity gradients and energy transfer in direct and large-eddy simulations of isotropic turbulence
Rahul Arun, Mostafa Kamal, Tim Colonius +1
Symmetry-based analyses of multiscale velocity gradients highlight that strain self-amplification (SS) and vortex stretching (VS) drive forward energy transfer in turbulent flows.…
Spectral proper orthogonal decomposition of rapid snapshot pairs sampled at sub-Nyquist intervals
Caroline Cardinale, Steven L. Brunton, Tim Colonius
Modal decomposition methods are important for characterizing the low-dimensional dynamics of complex systems, including turbulent flows. Different methods have varying data require…
Boundary layer stability analysis using the nonlinear One-Way Navier-Stokes approach
Michael K. Sleeman, Matthew T. Lakebrink, Tim Colonius
We extend the One-Way Navier Stokes (OWNS) approach to support nonlinear interactions between waves of different frequencies, which will enable nonlinear analysis of instability an…