Numerical Simulation of Sedimentation Process using Mason-Weaver Equation

Milica G. Nikolić, T. Šušteršič, Nenad Filipović
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Abstract

The paper describes mathematical model and numerical simulation of Mason-Weaver equation using finite difference method, FDM, for simulation of sedimentation process. Different FDM schemes have been developed and tested for several different initial conditions. Possible issues with numerical convergence and conservation of concentration are explained. Performed analysis can be important for any numerical simulation that captures sedimentation process. The results of this research can be further used in modelling epithelial cell behavior and lung-on-a-chip systems.
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基于Mason-Weaver方程的沉降过程数值模拟
本文描述了用有限差分法(FDM)模拟沉降过程的Mason-Weaver方程的数学模型和数值模拟。不同的FDM方案已经开发并测试了几种不同的初始条件。解释了数值收敛和浓度守恒可能存在的问题。进行的分析对于捕获沉降过程的任何数值模拟都是重要的。这项研究的结果可以进一步用于模拟上皮细胞行为和肺芯片系统。
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