3 citations · 5 across the 12 of their papers we have counts for
12 papers
A Tensor-Train Discontinuous Galerkin Method for the Vlasov-Maxwell System
Rujeko Chinomona, Dibyendu Adak, William J. Barham +4
We present a tensor-train discontinuous Galerkin (TT-DG) formulation for the Vlasov--Maxwell system that combines a modal DG discretization with low-rank tensor representations of…
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…
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.…
A Hamiltonian and geometric formulation of general Vlasov-Maxwell-type models
William Barham, Philip J. Morrison, Eric Sonnendrücker
Three geometric formulations of the Hamiltonian structure of the macroscopic Maxwell equations are given: one in terms of the double de Rham complex, one in terms of L2 duality, an…
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…
A Hamiltonian model for the macroscopic Maxwell equations using exterior calculus
William Barham, Philip J. Morrison, Eric Sonnendrücker
A Hamiltonian field theory for the macroscopic Maxwell equations with fully general polarization and magnetization is stated in the language of differential forms. The precise proc…
Exact instantaneous optimals in the non-geostrophic Eady problem and the detrimental effects of discretization
William Barham, Ian Grooms
We derive exact analytical expressions for flow configurations that optimize the instantaneous growth rate of energy in the linear Eady problem, along with the associated growth ra…
An eddifying Stommel model: Fast eddy effects in a two-box ocean
William Barham, Ian Grooms
A system of stochastic differential equations is formulated describing the heat and salt content of a two-box ocean. Variability in the heat and salt content and in the thermohalin…