Abstract
From basic science to translation, modern biomedical research demands computational models which integrate several interacting physical systems. This paper describes the infrastructural framework for generic multiphysics integration implemented in the software $\boldsymbol{\mathcal{C}}\mathbf{Heart}$, a finiteelement code for biomedical research. To generalize the coupling of physics systems, we introduce a framework in which the geometric and operator relationships between the constituent systems are rigorously defined. We then introduce the notion of topological interfaces and define specific operators encompassing many common model coupling requirements. These interfaces enable the evaluation of weak form integrals between mesh subregions of arbitrary finiteelement bases' orders, types, and spatial dimensions. Equation maps are introduced which provide abstract representations of the individual physics systems that can be automatically combined to permit a monolithic matrix assembly. Flexible solution strategies for the resulting coupled systems are implemented, permitting finetuning of solution updates during fixed point iterations, and subgrouping where several problems are being solved together. Partitioning of coupled mesh domains for optimal load balancing is also supported, taking into account the perprocessor cost of the entire coupled problem within the graph problem. The demonstration of the performance is illustrated through important realworld multiphysics problems relevant to cardiac physiology.
Original language  English 

Pages (fromto)  C150C178 
Journal  SIAM Journal on Scientific Computing 
Volume  38 
Issue number  3 
Early online date  26 May 2016 
DOIs  
Publication status  Published  26 May 2016 
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Profiles

Andrew Cookson
 Department of Mechanical Engineering  Lecturer
 EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
Person: Research & Teaching