4 papers
Shock solutions for the one-dimensional information geometric regularization of compressible flow
William Barham, Brian K. Tran, Ben S. Southworth +1
The information geometric regularization (IGR) is an inviscid regularization of the compressible Euler equations that alters the geometry of Lagrangian characteristics to prevent t…
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…
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…
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…