Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth

Collis, Joe and Hubbard, Matthew E. and O'Dea, Reuben D. (2016) Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth. Computer Methods in Applied Mechanics and Engineering, 309 . pp. 554-578. ISSN 1879-2138

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Abstract

In this work we consider the discretization of a recently formulated (Collis et al., [22]) multiscale model for drug- and nutrient-limited tumour growth. The key contribution of this work is the proposal of a discontinuous Galerkin finite element scheme which incorporates a non-standard coupling across a singular surface, and the presentation of full details of a suitable discretization for the coupled flow and transport systems, such as that arising in Collis et al. [22] and other similar works. We demonstrate the application of the proposed discretizations via representative numerical experiments; furthermore, we present a short numerical study of convergence for the proposed microscale scheme, in which we observe optimal rates of convergence for sufficiently smooth data.

Item Type: Article
Keywords: Numerical simulations; Finite elements; Porous media; Cancer modelling
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1016/j.cma.2016.06.015
Depositing User: Collis, Joseph
Date Deposited: 19 Jul 2016 13:42
Last Modified: 12 Oct 2017 21:07
URI: http://eprints.nottingham.ac.uk/id/eprint/35156

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