7 papers
Measuring the effect of spatial dimension on hydrodynamic turbulence using direct numerical simulation
Richard D. J. G. Ho, Daniel Clark, Andres Armua +3
We perform direct numerical simulation of the incompressible Navier-Stokes equation with forcing at different spatial dimensions and measure turbulent and chaotic properties. Lyapu…
Homogeneous isotropic turbulence in four spatial dimensions
Arjun Berera, Richard D. J. G. Ho, Daniel Clark
Direct Numerical Simulation is performed of the forced Navier-Stokes equation in four spatial dimensions. Well equilibrated, long time runs at sufficient resolution were obtained t…
Fluctuations of Lyapunov Exponents in homogeneous and isotropic turbulence
Richard Ho, Andres Armua, Arjun Berera
In the context of the analysis of the chaotic properties of homogeneous and isotropic turbulence, direct numerical simulations are used to study the fluctuations of the finite time…
High dimensional chaotic systems which behave like random walks in state space
Richard D. J. G. Ho
By analysing an n-dimensional generalisation of Thomas's cyclically symmetric attractor we find that this chaotic dynamical system behaves like a random walk constrained onto the s…
Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence
Y. Charles Li, Richard D. J. G. Ho, Arjun Berera +1
Ruelle predicted that the maximal amplification of perturbations in homogeneous isotropic turbulence is exponential (where is the maximal Liapunov e…
OBOE: Collaborative Filtering for AutoML Model Selection
Chengrun Yang, Yuji Akimoto, Dae Won Kim +1
Algorithm selection and hyperparameter tuning remain two of the most challenging tasks in machine learning. Automated machine learning (AutoML) seeks to automate these tasks to ena…