This paper presents a generic framework for the numerical simulation of transformation-diffusion processes in complex volume geometric shapes. This work follows a previous one devoted to the simulation of microbial degradation of organic matter in porous system at microscopic scale. We generalized and improved the MOSAIC method significantly and thus yielding a much more generic and efficient numerical simulation scheme. In particular, regarding the simulation of diffusion processes from the graph, in this study we proposed a completely explicit and semi-implicit numerical scheme that can significantly reduce the computational complexity. We validated our method by comparing the results to the one provided by classical Lattice Boltzmann Method (LBM) within the context of microbial decomposition simulation. For the same datasets, we obtained similar results in a significantly shorter computing time (i.e., 10-15 minutes) than the prior work (several hours). Besides the classical LBM method takes around 3 weeks computing time.
翻译:本文为复杂体积几何形状的变异-扩散过程的数值模拟提供了一个通用框架。 这项工作是在先前专门在微微分尺度的多孔系统中模拟有机物的微生物降解工作之后进行的。 我们大量推广并改进了MOSAIC方法,从而产生了一个比原图扩散过程模拟工作(即10-15分钟)大大短得多的通用和高效数字模拟方案。 特别是,关于从图中模拟扩散过程,我们在本研究报告中提出了一个完全清晰和半隐含的数字方案,可以大大降低计算复杂性。 我们通过在微生物分解模拟中比较古典Lattice Boltzmann方法(LBM)提供的结果,验证了我们的方法。 对于同样的数据集,我们取得类似的结果是在比原工作(几小时)大大缩短的计算时间(即10-15分钟)中取得的。 除了经典的LBM方法需要大约3周的计算时间。