Numerical modeling of erosion using an improvement of the extended finite element method

被引：1

作者：

Cottereau, Regis ^{[1
]}

Diez, Pedro ^{[2
]}

机构：

[1] Ecole Cent Paris, Lab MSSMat UMR 8579, CNRS, F-92295 Chatenay Malabry, France

[2] Univ Politecn Cataluna, Dept Matemat Aplicades 3, Lab Calcul Numer, Barcelona, Spain

来源：

EUROPEAN JOURNAL OF ENVIRONMENTAL AND CIVIL ENGINEERING | 2011年 / 15卷 / 08期

关键词：

erosion; level-set; XFEM; Darcy's law; Stokes equations; homogenization; NAVIER-STOKES EQUATIONS; LEVEL SET METHODS; VOLUME DISTRIBUTION; CONCENTRATED FLOW; SAND EROSION; TINY HOLES; HOMOGENIZATION; COMPUTATION; TRACKING; FRONT;

D O I：

10.3166/EJECE.15.1187-1206

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

We present in this paper a numerical model of the erosion of a soil that accounts for both the flow in the open fluid and the flow of fluid through the porous soil. The interlace between the open fluid and the soil is represented using a level-set function, and the erosion is controlled by the shear stress vector. The evaluation of the approximate value of this gradient is particularly focused on, and an improved method, called XFE+ method, is presented. Numerical results in 2D and 3D illustrate the accuracy and the potentiality of this method.

引用

页码：1187 / 1206

页数：20

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