3 citations · 5 across the 12 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 self-consistent Hamiltonian model of the ponderomotive force and its structure preserving discretization
William Barham, Yaman Güçlü, Philip J. Morrison +1
In the presence of an inhomogeneous oscillatory electric field, charged particles experience a net force, averaged over the oscillatory timescale, known as the ponderomotive force.…
Dual PIC: a structure preserving method for discretizing Lie-Poisson brackets
William Barham, Philip J. Morrison
We consider a general discretization strategy for Hamiltonian field theories generated by Lie-Poisson brackets which we call dual PIC (DPIC). This method involves prescribing two d…
A mimetic discretization of the macroscopic Maxwell equations in Hamiltonian form
William Barham, Yaman Güçlü, Philip J. Morrison +1
A mimetic spectral element discretization, utilizing a novel Galerkin projection Hodge star operator, of the macroscopic Maxwell equations in Hamiltonian form is presented. The ide…