Simulation of water flow and heat transfer in soils by means of a mixed finite element method

被引:19
作者
Chounet, LM
Hilhorst, D
Jouron, C
Kelanemer, Y
Nicolas, P
机构
[1] Univ Paris 11, Anal Numer & EDP, CNRS, URA 760, F-91405 Orsay, France
[2] Univ Paris 12, RAMSES Grp, LETIEF, IUT, F-94010 Creteil, France
[3] Univ Paris 13, F-93206 St Denis, France
[4] Pole Univ Leonard de Vinci, F-92916 Paris La Defense, France
关键词
heat and mass transfer; mixed finite element method; modified method of characteristics;
D O I
10.1016/S0309-1708(98)00029-3
中图分类号
TV21 [水资源调查与水利规划];
学科分类号
081501 ;
摘要
We develop numerical methods for the simulation of heat and mass transfer in the ground. We use the mixed finite element method for the computation of both the liquid pressure and the temperature, so that the mass is locally and globally well conserved and the computation of the fluid velocity is very accurate. This is quite important since this fluid velocity appears in the first-order term of the equation for the temperature; in turn the partially hyperbolic character of the equation for the temperature is well taken into account since we use the modified method of characteristics for its discretization. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:445 / 460
页数:16
相关论文
共 19 条
[1]   NUMERICAL-METHODS FOR THE SIMULATION OF FLOW IN ROOT-SOIL SYSTEMS [J].
ARBOGAST, T ;
OBEYESEKERE, M ;
WHEELER, MF .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (06) :1677-1702
[2]  
ARBOGAST T, 1992, COMPUTATIONAL METH 9, V1, P77
[3]  
BELHADJSALAH H, 1990, THESIS U PARIS SUD O
[4]   A GENERAL MASS-CONSERVATIVE NUMERICAL-SOLUTION FOR THE UNSATURATED FLOW EQUATION [J].
CELIA, MA ;
BOULOUTAS, ET ;
ZARBA, RL .
WATER RESOURCES RESEARCH, 1990, 26 (07) :1483-1496
[5]   A UNIFIED PHYSICAL PRESENTATION OF MIXED, MIXED-HYBRID FINITE-ELEMENTS AND STANDARD FINITE-DIFFERENCE APPROXIMATIONS FOR THE DETERMINATION OF VELOCITIES IN WATERFLOW PROBLEMS [J].
CHAVENT, G ;
ROBERTS, JE .
ADVANCES IN WATER RESOURCES, 1991, 14 (06) :329-348
[6]   CONVERGENCE ANALYSIS OF AN APPROXIMATION OF MISCIBLE DISPLACEMENT IN POROUS-MEDIA BY MIXED FINITE-ELEMENTS AND A MODIFIED METHOD OF CHARACTERISTICS [J].
EWING, RE ;
RUSSELL, TF ;
WHEELER, MF .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 47 (1-2) :73-92
[7]   FINITE-ELEMENT SIMULATION OF CIRCULATION IN LARGE-SCALE THERMAL-ENERGY STORAGE BASINS [J].
FORKEL, C ;
DANIELS, H .
ADVANCES IN WATER RESOURCES, 1995, 18 (03) :147-158
[8]  
Fremond M., 1990, Continuum Mechanics and Thermodynamics, V2, P119, DOI 10.1007/BF01126718
[9]   PARAMETER CONSTRAINTS ON CLOSED-FORM SOILWATER RELATIONSHIPS [J].
FUENTES, C ;
HAVERKAMP, R ;
PARLANGE, JY .
JOURNAL OF HYDROLOGY, 1992, 134 (1-4) :117-142
[10]   COMPARISON OF NUMERICAL-SIMULATION MODELS FOR ONE-DIMENSIONAL INFILTRATION [J].
HAVERKAMP, R ;
VAUCLIN, M ;
TOUMA, J ;
WIERENGA, PJ ;
VACHAUD, G .
SOIL SCIENCE SOCIETY OF AMERICA JOURNAL, 1977, 41 (02) :285-294