35 citations · 57 across the 9 of their papers we have counts for
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A thermodynamically consistent discretization of 1D thermal-fluid models using their metriplectic 4-bracket structure
William Barham, Philip J. Morrison, Azeddine Zaidni
Thermodynamically consistent models in continuum physics, i.e. models which satisfy the first and second laws of thermodynamics, may be expressed using the metriplectic formalism.…
A Hamiltonian structure-preserving discretization of Maxwell's equations in nonlinear media
William Barham, Yaman Güçlü, Philip J. Morrison +1
A simple Hamiltonian modeling framework for general models in nonlinear optics is given. This framework is specialized to describe the Hamiltonian structure of electromagnetic phen…
A mimetic discretization of Westervelt's equation
William Barham, Philip J. Morrison
A broad class of nonlinear acoustic wave models possess a Hamiltonian structure in their dissipation-free limit and a gradient flow structure for their dissipative dynamics. This s…
On finite-dimensional smoothed-particle Hamiltonian reductions of the Vlasov equation
William Barham, Philip J. Morrison
The inclusion of spatial smoothing in finite-dimensional particle-based Hamiltonian reductions of the Vlasov equation are considered. In the context of the Vlasov-Poisson equation…
Thermodynamically consistent Cahn-Hilliard-Navier-Stokes equations using the metriplectic dynamics formalism
Azeddine Zaidni, Philip J Morrison, Saad Benjelloun
Cahn-Hilliard-Navier-Stokes (CHNS) systems describes flows with two-phases, e.g., a liquid with bubbles. Obtaining constitutive relations for general dissipative processes for such…