Chen, B.; Cunningham, A.; Ewing, R.; Peralta, R.; Visser, E. Two-dimensional modeling of microscale transport and biotransformation in porous media. (English) Zbl 0792.76078 Numer. Methods Partial Differ. Equations 10, No. 1, 65-83 (1994). Summary: We develop a model for simulating the growth of a biofilm in a tortuous tube. The solutions to the Navier-Stokes equations and the advection- diffusion equation are calculated numerically using finite differences. These solutions are then coupled with a biofilm growth model. Cited in 12 Documents MSC: 76S05 Flows in porous media; filtration; seepage 76Z99 Biological fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids 76M20 Finite difference methods applied to problems in fluid mechanics Keywords:tortuous tube; advection-diffusion equation; biofilm growth model PDFBibTeX XMLCite \textit{B. Chen} et al., Numer. Methods Partial Differ. Equations 10, No. 1, 65--83 (1994; Zbl 0792.76078) Full Text: DOI References: [1] Picologlou, J. Hyd. Div. ASCE 106 pp 733– (1980) [2] , and , BIOSIM, an interactive program for the simulation of the dynamics of mixed culture biofilm systems on a personal computer. Swiss Federal Institute for Water Resources and Water Pollution Control, Swiss Federal Institute of Technology. CH-8600 Dubendorf, Switzerland, 1990. [3] and , ”Biofilms: A basis for and interdisciplinary approach”, in and , Eds., Biofilms, Wiley-Interscience, New York, (1990). [4] Cunningham, Environ. Sci. Technol. 25 pp 1305– (1991) [5] Taylor, Water Resourc. Res. 26 pp 2161– (1990) [6] and , unpublished. [7] Iterative Solution of Large Linear Systems, Academic, New York, 1971. [8] and , Computational Methods for Fluid Flow, Springer-Verlag, New York, 1983. · Zbl 0514.76001 [9] ”Kinetics of microbial transformations”, in Biofilms, and , Eds., Wiley-Interscience, New York, 1990. [10] Wilson, Ind. Eng. Chem. Fund. 5 pp 9– (1966) [11] Sáez, Biotechnol. Bioeng. 32 pp 379– (1988) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.