AN ALGEBRAIC MULTIGRID METHOD FOR COUPLED THERMO-HYDRO-MECHANICAL PROBLEMS  

作　　者：王希诚 葛增杰 吴宏宇 

机构地区：[1]Department of Engineering Mechanics, Dalian University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第12期1464-1471,共8页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 597780 44);theHighPerformanceComputingFoundationofChina ( 991 0 1 ) ;theSpecialFundsforMajorStateBasicResearchProject (G1 9990 3 2 80 5)

摘　　要：An algebraic multigrid method is developed to solve fully coupled multiphase problem involving heat and mass transfer in deforming porous media. The mathematical model consists of balance equations of mass, linear momentum and energy and of the appropriate constitutive equations. The chosen macroscopic field variables are temperature, capillary pressure, gas pressure and displacement. The gas phase is considered to be an ideal gas composed of dry air and vapour, which are regarded as two miscible species. The model makes further use of a modified effective stress concept together with the capillary pressure relationship. Phase change is taken into account as well as heat transfer though conduction and convection and latent heat transfer (evaporation-condensation). Numerical examples are given to demonstrate the computing efficiency of this method.An algebraic multigrid method is developed to solve fully coupled multiphase problem involving heat and mass transfer in deforming porous media. The mathematical model consists of balance equations of mass, linear momentum and energy and of the appropriate constitutive equations. The chosen macroscopic field variables are temperature, capillary pressure, gas pressure and displacement. The gas phase is considered to be an ideal gas composed of dry air and vapour, which are regarded as two miscible species. The model makes further use of a modified effective stress concept together with the capillary pressure relationship. Phase change is taken into account as well as heat transfer though conduction and convection and latent heat transfer (evaporation-condensation). Numerical examples are given to demonstrate the computing efficiency of this method.

关 键 词：multiphase flow deforming porous media phase change GRID ITERATION 

分 类 号：O357.3[理学—流体力学]