2 citations · 2 across the 3 of their papers we have counts for
5 papers
Slow Migration of Brine Inclusions in First-Year Sea Ice
Noa Kraitzman, Keith Promislow, Brian Wetton
We derive a thermodynamically consistent model for phase change in sea ice by adding salt to the framework introduced by Penrose and Fife. Taking the salt entropy relative to the l…
Cellular automaton model for substitutional binary diffusion in solids
Helena Ribera, Brian Wetton, Timothy Myers
In this paper we use the cellular automaton (CA) approach to model one-dimensional binary diffusion in solids. Employing a very simple state change rule we define an asynchronous C…
Mathematical model for substitutional binary diffusion in solids
Helena Ribera, Brian Wetton, Timothy Myers
In this paper we detail the mechanisms that drive substitutional binary diffusion and derive appropriate governing equations. We focus on the one-dimensional case with insulated bo…
Asymptotic Behaviour of Time Stepping Methods for Phase Field Models
Xinyu Cheng, Dong Li, Keith Promislow +1
Adaptive time stepping methods for metastable dynamics of the Allen Cahn and Cahn Hilliard equations are investigated in the spatially continuous, semi-discrete setting. We analyse…
Asymptotic reduction of a porous electrode model for lithium-ion batteries
Iain R. Moyles, Matthew G. Hennessy, Timothy G. Myers +1
We present a porous electrode model for lithium-ion batteries using Butler--Volmer reaction kinetics. We model lithium concentration in both the solid and fluid phase along with so…