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Nonlinear dynamics of vortex pairing in transitional jets
Akhil Nekkanti, Tim Colonius, Oliver T. Schmidt
This study investigates the onset of linear instabilities and their later nonlinear interactions in the shear layer of an initially-laminar jet using a combination of stability ana…
Velocity gradient partitioning in turbulent flows
Rahul Arun, Tim Colonius
The velocity gradient tensor can be decomposed into normal straining, pure shearing and rigid rotation tensors, each with distinct symmetry and normality properties. We partition t…
Fast and robust method for screened Poisson lattice Green's function using asymptotic expansion and Fast Fourier Transform
Wei Hou, Tim Colonius
We study the lattice Green's function (LGF) of the screened Poisson equation on a two-dimensional rectangular lattice. This LGF arises in numerical analysis, random walks, solid-st…
Optimal frequency resolution for spectral proper orthogonal decomposition
Liam Heidt, Tim Colonius
We demonstrate that accurate computation of the spectral proper orthogonal decomposition (SPOD) critically depends on the choice of frequency resolution. Using both artificially ge…
An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions
Wei Hou, Tim Colonius
We solve the incompressible Navier-Stokes equations using a lattice Green's function (LGF) approach, including immersed boundaries (IB) and adaptive mesh refinement (AMR), for exte…