Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth
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 acr...
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| Format: | Article |
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Elsevier
2016
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| Online Access: | https://eprints.nottingham.ac.uk/35156/ |
| _version_ | 1848795015934902272 |
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| author | Collis, Joe Hubbard, Matthew E. O'Dea, Reuben D. |
| author_facet | Collis, Joe Hubbard, Matthew E. O'Dea, Reuben D. |
| author_sort | Collis, Joe |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:25:22Z |
| format | Article |
| id | nottingham-35156 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:25:22Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-351562020-05-04T18:04:09Z https://eprints.nottingham.ac.uk/35156/ Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth Collis, Joe Hubbard, Matthew E. O'Dea, Reuben D. 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. Elsevier 2016-09-01 Article PeerReviewed Collis, Joe, 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 Numerical simulations; Finite elements; Porous media; Cancer modelling http://www.sciencedirect.com/science/article/pii/S0045782516305746 doi:10.1016/j.cma.2016.06.015 doi:10.1016/j.cma.2016.06.015 |
| spellingShingle | Numerical simulations; Finite elements; Porous media; Cancer modelling Collis, Joe Hubbard, Matthew E. O'Dea, Reuben D. Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth |
| title | Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth |
| title_full | Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth |
| title_fullStr | Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth |
| title_full_unstemmed | Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth |
| title_short | Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth |
| title_sort | computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth |
| topic | Numerical simulations; Finite elements; Porous media; Cancer modelling |
| url | https://eprints.nottingham.ac.uk/35156/ https://eprints.nottingham.ac.uk/35156/ https://eprints.nottingham.ac.uk/35156/ |