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一种用于复杂流动中多物种生物膜动力学的保守微连续-元胞自动机方法

A conservative micro-continuum-cellular automaton method for multispecies biofilm dynamics in complex flows

Soyoung Kim, Yinuo Noah Yao

arXiv 2610.01565首次发表:更新:

发表机构

Texas A&M University(德克萨斯农工大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

提出一种保守微连续-元胞自动机方法,耦合多物理场与两阶段算法,实现复杂流动中多物种生物膜动力学的准确模拟与验证。

AI 中文摘要

我们开发了一种保守的微连续-元胞自动机方法,用于模拟复杂流动中的多物种生物膜动力学。该方法将Darcy-Brinkman-Stokes方程、反应输运、悬浮细菌和生物膜动力学与一个两阶段元胞自动机算法耦合,用于生物膜再分布和界面演化。在将生物膜视为演化多孔介质的同时,我们确保了部分占据细胞中多物种生物量的保守再分布。供体细胞和受体细胞的体积被明确考虑,以在非均匀网格上保持生物量守恒和物种组成。该方法针对扩散主导的基准案例进行了评估,包括单物种指进和多物种分层,并通过矩形凸起上的流动和生长的网格收敛研究进一步评估。该框架随后被应用于膜曝气生物膜反应器中的逆扩散生物膜作为典型示例。结果表明,该框架能够捕捉涉及耦合流动、底物输运和生物膜动力学系统中的预期生物膜形态和分层。该方法为模拟复杂流动和几何中的多物种生物膜动力学提供了一种灵活的计算方法。

英文摘要

We develop a conservative micro-continuum-cellular automaton method for simulating multispecies biofilm dynamics in complex flows. The proposed method couples the Darcy-Brinkman-Stokes equations, reactive transport, suspended bacteria, and biofilm dynamics with a two-stage cellular automaton algorithm for biofilm redistribution and interface evolution. While treating biofilms as evolving porous media, we ensure conservative redistribution of multispecies biomass across partially occupied cells. Donor and recipient cell volumes are explicitly accounted for to conserve biomass and preserve species composition on non-uniform meshes. The proposed method is assessed against diffusion-dominated benchmark cases, including single-species fingering and multispecies stratification, and is further evaluated through a mesh-convergence study for flow and growth over a rectangular bump. The framework is then applied to counter-diffusional biofilms in a membrane-aerated biofilm reactor as a canonical example. The results demonstrate that the framework captures the expected biofilm morphology and stratification in systems involving coupled flow, substrate transport, and biofilm dynamics. The proposed method provides a flexible computational approach for simulating multispecies biofilm dynamics in complex flows and geometries.

Comments31 pages, 10 figures

论文原文

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