Extrinsically enriched element free Galerkin method for heat and fluid flow in deformable porous media involving weak and strong discontinuities

被引:10
作者
Iranmanesh, Mohammad Ali [1 ]
Pak, Ali [1 ]
机构
[1] Sharif Univ Technol, Dept Civil Engn, Tehran, Iran
关键词
Element free Galerkin; Extrinsic PUM enrichment; Weak discontinuity; Strong discontinuity; Thermo-hydro-mechanical; Saturated porous media; POINT INTERPOLATION METHOD; HYDRO-MECHANICAL PROCESSES; ARBITRARY EVOLVING CRACKS; MESHFREE METHOD; MESHLESS METHODS; COHESIVE CRACKS; CLAY FORMATIONS; FEM TECHNIQUE; EFG METHOD; CONSOLIDATION;
D O I
10.1016/j.compgeo.2018.07.013
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this study, an extrinsically enriched element free Galerkin (EFG) method is proposed for the thermo-hydromechanical simulation of saturated porous media. By taking advantage of partition of unity property of moving least square shape functions, weak discontinuities such as material interfaces are modeled using the Ridge enrichment function and impermeable strong discontinuities are simulated using the Heaviside function. Some guidelines are proposed for the selection of EFG numerical parameters to ensure the stability and accuracy of the results. Numerical examples are provided to illustrate the capability of the proposed approach for fully coupled THM analysis of discontinuous porous media.
引用
收藏
页码:179 / 192
页数:14
相关论文
共 64 条
[1]   VARIATIONAL-PRINCIPLES AND FINITE-ELEMENT SIMULATIONS FOR THERMOELASTIC CONSOLIDATION [J].
ABOUSTIT, BL ;
ADVANI, SH ;
LEE, JK .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1985, 9 (01) :49-69
[2]  
Belytschko T, 1999, INT J NUMER METH ENG, V45, P601, DOI 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO
[3]  
2-S
[4]   Smoothing and accelerated computations in the element free Galerkin method [J].
Belytschko, T ;
Krongauz, Y ;
Fleming, M ;
Organ, D ;
Liu, WKS .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 74 (1-2) :111-126
[5]   Meshless methods: An overview and recent developments [J].
Belytschko, T ;
Krongauz, Y ;
Organ, D ;
Fleming, M ;
Krysl, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :3-47
[6]   General theory of three-dimensional consolidation [J].
Biot, MA .
JOURNAL OF APPLIED PHYSICS, 1941, 12 (02) :155-164
[7]   CONSOLIDATION AROUND A POINT HEAT-SOURCE [J].
BOOKER, JR ;
SAVVIDOU, C .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1985, 9 (02) :173-184
[8]   Treatment of material discontinuity in the Element-Free Galerkin method [J].
Cordes, LW ;
Moran, B .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :75-89
[9]   The extended finite element method in thermoelastic fracture mechanics [J].
Duflot, Marc .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 74 (05) :827-847
[10]   Development of a coupled thermo-hydro-mechanical model in discontinuous media for carbon sequestration [J].
Fang, Yilin ;
Ba Nghiep Nguyen ;
Carroll, Kenneth C. ;
Xu, Zhijie ;
Yabusaki, Steven B. ;
Scheibe, Timothy D. ;
Bonneville, Alain .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 2013, 62 :138-147