62 citations · 81 across the 3 of their papers we have counts for
4 papers
Numerical investigation into coarse-scale models of diffusion in complex heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Computational modelling of diffusion in heterogeneous media is prohibitively expensive for problems with fine-scale heterogeneities. A common strategy for resolving this issue is t…
A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Direct numerical simulation of diffusion through heterogeneous media can be difficult due to the computational cost of resolving fine-scale heterogeneities. One method to overcome…
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…
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…