4 papers
Algebraic models of plane Couette equilibria
Pratik P. Aghor, John F. Gibson
Recent computations of weakly unstable equilibria, traveling waves, and periodic orbits in transitional shear flows suggest a spatiotemporal, dynamical-systems approach to low-Reyn…
Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulence
Mohammad Atif, Pulkit Dubey, Pratik P. Aghor +9
High-fidelity direct numerical simulation of turbulent flows for most real-world applications remains an outstanding computational challenge. Several machine learning approaches ha…
Symmetry groups and invariant solutions of plane Poiseuille flow
Pratik P. Aghor, John F. Gibson
Equilibrium, traveling-wave, and periodic-orbit solutions of the Navier-Stokes equations provide a promising avenue for investigating the structure, dynamics, and statistics of tra…
Effect of outer cylinder rotation on the radially heated Taylor-Couette flow
Pratik Aghor, Mohammad Atif
A Taylor-Couette setup with radial heating is considered where a Boussinesq fluid is sheared in the annular region between two concentric, independently rotating cylinders maintain…