A Flux-Corrected Finite Element Method for Chemotaxis Problems
A Flux-Corrected Finite Element Method for Chemotaxis Problems
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DOI：
10.2478/cmam-2010-0013
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
R. Strehl;A. Sokolov;D. Kuzmin;S. Turek
中科院分区：
文献类型：
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作者：
R. Strehl;A. Sokolov;D. Kuzmin;S. Turek
摘要针对一类趋化性模型，提出了隐式通量校正输运（FCT）算法。对伽辽金有限元离散化的系数进行了调整，以保证质量守恒和保持单元密度非负。在具有奇异点的最小趋化性模型的爆破问题上验证了所提出的高分辨率格式的数值行为。研究还表明，大肠杆菌趋化性模型的结果与文献中报道的实验数据吻合良好。
Abstract An implicit flux-corrected transport (FCT) algorithm has been developed for a class of chemotaxis models. The coefficients of the Galerkin finite element discretization has been adjusted in such a way as to guarantee mass conservation and keep the cell density nonnegative. The numerical behaviour of the proposed highresolution scheme is tested on the blow-up problem for a minimal chemotaxis model with singularities. It has also been shown that the results for an Escherichia coli chemotaxis model are in good agreement with the experimental data reported in the literature.