From the 1 of 4 linked papers with an AI index.
4 papers
Shock solutions for the one-dimensional information geometric regularization of compressible flow
William Barham, Brian K. Tran, Ben S. Southworth +1
The paper proves existence, uniqueness, and regularity of one‑dimensional shock‑type traveling wave solutions for the information geometric regularization of the compressible Euler…
Thermodynamics of driven systems via the Kuramoto-Sivashinsky equation
E. Hansen, W. Barham, P. J. Morrison
We examine the differences between the driven turbulence described by the Kuramoto-Sivashinsky (KS) equation and the second law of thermodynamics. A general velocity and entropy de…
Diagnosing symplecticity in simulations of high-dimensional Hamiltonian systems
William Barham, J. W. Burby
Integrals of the Liouville -form, known as the first Poincar{é} integral invariant, provide a computable figure of merit for monitoring the conservation of symplecticity in the…
Hamiltonian Information Geometric Regularization of the Compressible Euler Equations
William Barham, Brian K. Tran, Ben S. Southworth +1
The recently proposed information geometric regularization (IGR) was the first inviscid regularization of the multi-dimensional compressible Euler equations, which enabled the simu…