Projection-based resolved interface mixed-dimension method for embedded tubular network systems
Projection-based resolved interface mixed-dimension method for embedded tubular network systems
复制标题
基于投影的嵌入式管状网络系统解析接口混合维方法
DOI：
10.1016/j.camwa.2022.01.021
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Timo Koch
中科院分区：
文献类型：
--
作者：
Timo Koch
我们提出了一种新颖的数值技术，用于嵌入块体域（例如多孔介质）中的细管状网络的计算模型。这些系统用于模拟血管生物组织中的流体流动、土壤中的根系水和养分吸收、岩层中的水文或石油井或微冷却装置中的热传输。传热传质等关键过程往往由网络系统与嵌入域之间的交换主导。通过使用计算网格显式解析这些域之间的接口，我们可以准确地描述这些过程。该网络由线段网络有效地描述。耦合项通过界面变量的投影来评估。该新方法自然适用于非线性和瞬态问题，因此可以作为新型隐式接口1D-3D方法开发和嵌入式管状网络方法验证基准设计的参考方法。隐式接口模型（未显式解决体网络接口）已被证明非常有效，但迄今为止仅针对线性椭圆问题进行了数学分析。使用两种应用场景，即血管组织的液体灌注和根系从土壤中吸收水分，我们以数值方式研究了隐式界面方法的一些常见建模假设的效果。
We present a novel numerical technique for computational models of thin tubular networks embedded in a bulk domain, for example a porous medium. These systems occur in the simulation of fluid flow in vascularized biological tissue, root water and nutrient uptake in soil, hydrological or petroleum wells in rock formations, or heat transport in micro-cooling devices. The key processes, such as heat and mass transfer, are often dominated by the exchange between the network system and the embedding domain. By explicitly resolving the interface between these domains with the computational mesh, we can accurately describe these processes. The network is efficiently described by a network of line segments. Coupling terms are evaluated by projection of the interface variables. The new method is naturally applicable for nonlinear and time-dependent problems and can therefore be used as a reference method in the development of novel implicit interface 1D-3D methods and in the design of verification benchmarks for embedded tubular network methods. Implicit interface models, not resolving the bulk-network interface explicitly have proven to be very efficient but have only been mathematically analyzed for linear elliptic problems so far. Using two application scenarios, fluid perfusion of vascularized tissue and root water uptake from soil, we investigate the effect of some common modeling assumptions of implicit interface methods numerically.
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