Joe Collis
Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth
Collis, Joe; Hubbard, Matthew E.; O'Dea, Reuben D.
Authors
MATTHEW HUBBARD MATTHEW.HUBBARD@NOTTINGHAM.AC.UK
Professor of Computational and Applied Mathematics
REUBEN O'DEA REUBEN.ODEA@NOTTINGHAM.AC.UK
Associate Professor
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.
Citation
Collis, J., Hubbard, M. E., & O'Dea, R. D. (2016). Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth. Computer Methods in Applied Mechanics and Engineering, 309, https://doi.org/10.1016/j.cma.2016.06.015
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 11, 2016 |
Online Publication Date | Jun 21, 2016 |
Publication Date | Sep 1, 2016 |
Deposit Date | Jul 19, 2016 |
Publicly Available Date | Mar 28, 2024 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Print ISSN | 0045-7825 |
Electronic ISSN | 1879-2138 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 309 |
DOI | https://doi.org/10.1016/j.cma.2016.06.015 |
Keywords | Numerical simulations; Finite elements; Porous media; Cancer modelling |
Public URL | https://nottingham-repository.worktribe.com/output/802786 |
Publisher URL | http://www.sciencedirect.com/science/article/pii/S0045782516305746 |
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0
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