PERMEABILITY COMPUTATION ON A REPRESENTATIVE VOLUME ELEMENT （RVE） OF. UNIDIRECTIONAL DISORDERED FIBER ARRAYS  

作　　者：Karim Hitti Stephanie Feghali Marc Bernacki 

机构地区：[1]Department of Mathematics, Faculty of Sciences, University of Balamand, Lebanon Notre Dame University-Louaize, Faculty of Natural and Applied Sciences, Department of Mathematics and Statistics, Lebanon [2]Lebanese University, Faculty of Sciences II, Mathematics Department, P.O. Box 90656 Fanar-Matn, Lebanon [3]Mines-ParisTech, PSL-Research University, CEMEF- Centre de mise en forme des matdriaux, CNRS UMR 7635, CS 10207 rue Claude Daunesse, 06904 Sophia Antipolis Cedex, France

出　　处：《Journal of Computational Mathematics》2016年第3期223-239,共17页计算数学（英文）

摘　　要：An efficient method to compute the permeability of disordered fibrous arrays is pro- posed. A stabilized mixed finite element method is used with an immersed domain ap- proach to represent the porous material at its microscopic scale. Therefore, the Stokes e- quations are solved in the whole domain （including solid part） using a penalization method. The accuracy is controlled by refining the mesh around the fluid-solid interface defined by a level-set function. Using homogenization techniques, the permeability of an RVE is obtained. Furthermore, a new method to generate disordered fibers in function of the porosity, Ф, and other microstructural parameters is proposed and a study of the effect of inter-fiber spacing on K：, the permeability tensor, is performed using parallel computation and over 460 simulations were carried RVEs consisting of over 555 fibers. This task was achieved out in two-dimensionalAn efficient method to compute the permeability of disordered fibrous arrays is pro- posed. A stabilized mixed finite element method is used with an immersed domain ap- proach to represent the porous material at its microscopic scale. Therefore, the Stokes e- quations are solved in the whole domain （including solid part） using a penalization method. The accuracy is controlled by refining the mesh around the fluid-solid interface defined by a level-set function. Using homogenization techniques, the permeability of an RVE is obtained. Furthermore, a new method to generate disordered fibers in function of the porosity, Ф, and other microstructural parameters is proposed and a study of the effect of inter-fiber spacing on K：, the permeability tensor, is performed using parallel computation and over 460 simulations were carried RVEs consisting of over 555 fibers. This task was achieved out in two-dimensional

关 键 词：PERMEABILITY Fibrous Media Finite Element Method Level-set. 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构] TN253[自动化与计算机技术—计算机科学与技术]