62 citations · 405 across the 26 of their papers we have counts for
4 papers · 1 filter
Finite volume schemes for multilayer diffusion
Nathan G. March, Elliot J. Carr
This paper focusses on finite volume schemes for solving multilayer diffusion problems. We develop a finite volume method that addresses a deficiency of recently proposed finite vo…
Accurate and efficient calculation of response times for groundwater flow
Elliot J. Carr, Matthew J. Simpson
We study measures of the amount of time required for transient flow in heterogeneous porous media to effectively reach steady state, also known as the response time. Here, we devel…
Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions
Elliot J. Carr, Nathan G. March
We develop a new semi-analytical method for solving multilayer diffusion problems with time-varying external boundary conditions and general internal boundary conditions at the int…
Calculating how long it takes for a diffusion process to effectively reach steady state without computing the transient solution
Elliot J. Carr
Mathematically, it takes an infinite amount of time for the transient solution of a diffusion equation to transition from initial to steady state. Calculating a \textit{finite} tra…