Výsledky vyhledávání - "March, Nathan"

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Numerical investigation into coarse-scale models of diffusion in complex heterogeneous media

Autor: March, Nathan G., Carr, Elliot J., Turner, Ian W.

Publikováno v: Transport in Porous Media (2021)

Computational modelling of diffusion in heterogeneous media is prohibitively expensive for problems with fine-scale heterogeneities. A common strategy for resolving this issue is to decompose the domain into a number of non-overlapping sub-domains an

Externí odkaz: http://arxiv.org/abs/2009.05754

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A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media

Autor: March, Nathan G., Carr, Elliot J., Turner, Ian W.

Publikováno v: Appl. Math. Model. 92 (2021) 23-43

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 this difficulty is to homogenize the model by replacing the spatially-

Externí odkaz: http://arxiv.org/abs/1812.06680

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Finite volume schemes for multilayer diffusion

Autor: March, Nathan G., Carr, Elliot J.

Publikováno v: J. Comput. Appl. Math, 345 (2019) 206-223

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 volume/difference methods, which consider only a limited number of inter

Externí odkaz: http://arxiv.org/abs/1711.10052

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Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions

Autor: Carr, Elliot J., March, Nathan G.

Publikováno v: Appl. Math. Comput. 333 (2018) 286-303

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 interfaces between adjacent layers. The convergence rate of the semi-anal

Externí odkaz: http://arxiv.org/abs/1705.09925

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