MULTIPHYSICS COMPUTATIONAL MODELING IN CHeart
MULTIPHYSICS COMPUTATIONAL MODELING IN CHeart
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DOI：
10.1137/15m1014097
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发表时间：
2016-01-01
影响因子：
3.1
通讯作者：
Nordsletten, D. A.
中科院分区：
文献类型：
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作者：
Lee, J.;Cookson, A.;Nordsletten, D. A.
从基础科学到翻译，现代生物医学研究需要集成几个相互作用的物理系统的计算模型。本文描述了在CHeart软件中实现通用多物理场集成的基础结构框架，CHeart是一种生物医学研究的有限元代码。为了推广物理系统的耦合，我们引入了一个框架，在这个框架中，组成系统之间的几何和算子关系是严格定义的。然后，我们引入拓扑接口的概念，并定义包含许多常见模型耦合需求的特定操作符。这些接口能够评估任意有限元基的顺序、类型和空间维度的网格子区域之间的弱形式积分。引入了方程映射，它提供了单个物理系统的抽象表示，可以自动组合以允许单片矩阵组装。为得到的耦合系统实现灵活的解决方案策略，允许在固定点迭代期间对解决方案更新进行微调，并在一起解决几个问题时进行子分组。考虑到图问题中整个耦合问题的每处理器成本，还支持对耦合网格域进行分区以实现最佳负载平衡。通过与心脏生理学相关的重要的现实世界多物理场问题来说明性能的演示。
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 CHeart, a finite-element 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 finite-element 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 fine-tuning 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 per-processor cost of the entire coupled problem within the graph problem. The demonstration of the performance is illustrated through important real-world multiphysics problems relevant to cardiac physiology.