在有移动边界的多孔介质中有效计算流体传输
Huabing Li1, Wenjie Lu1, Badr Kaoui2
1Guangxi Key Laboratory of Information Materials, Guangxi Collaborative Innovation Center of Structure and Property for New Energy Materials, Department of Material Science and Technology, Guilin University of Electronic Technology, Guilin 541004, P R China.
bioRxiv : the preprint server for biology
|December 25, 2025
概括
一个新的混合模型模拟了收缩的淋巴血管和多孔组织中的液体流动. 这种方法提高了复杂的生物流体动力学的计算效率.
科学领域:
- 计算流体动力学 计算流体动力学
- 生物医学工程 生物医学工程
- 数学建模的数学建模
背景情况:
- 淋巴血管积极收缩以抽取间歇性液体.
- 在多孔组织和动态血管中模拟液体流动在计算上具有挑战性.
- 准确的建模需要处理复杂的几何形状和流体-组织相互作用.
研究的目的:
- 开发一种新的混合计算模型来模拟流体运输.
- 为了提高效率,将格子博尔茨曼 (LB) 和有限差异 (FD) 方法结合起来.
- 在多孔组织中模拟活跃收缩的淋巴血管中的液体流动.
主要方法:
- 开发了一个混合LB-FD模型,使用高分辨率LB用于血管动力学和低分辨率FD用于周围组织.
- 使用与达西定律透度相关的部分反弹比率来匹配LB和FD域之间的接口条件.
- 科泽尼-卡曼关系为界面匹配提供了参数估计的信息.
主要成果:
- 混合模型成功模拟了在收缩的淋巴血管和多孔组织的结合处的流体运输.
- 该方法表现出显著的计算效率,实现速度大约是纯LB方法的四倍.
- 该模型允许在实质上更大的组织领域进行计算.
结论:
- 混合LB-FD模型为模拟复杂生物系统中的流体流动提供了一种高效和准确的方法.
- 该方法适用于各种涉及孔介质中的流体动力学问题,其中包括具有非静止嵌入导管的多孔介质.
- 开发的模型为研究淋巴运输和相关生理过程提供了有价值的工具.
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