Diffusion and dissolution in a reactive porous medium: Mathematical modelling and numerical simulations

被引：26
|
作者：
Moszkowicz, P
Pousin, J
Sanchez, F
机构：
[1] INST NATL SCI APPL,LAB CHIM PHYS APPL & ENVIRONM,F-69621 VILLEURBANNE,FRANCE
[2] INST NATL SCI APPL,MATH MODELLING & SCI COMP LAB,CNRS,URA 740,F-69621 VILLEURBANNE,FRANCE
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 66卷 / 1-2期
关键词：
reaction-diffusion; phase change; jumping nonlinearities; semilinear parabolic-hyperbolic;
D O I：
10.1016/0377-0427(95)00192-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work a simple mathematical model for diffusion and dissolution in reactive porous medium is presented. The case of lime and lead in solid phase enclosed in cement matrices is considered more specifically. A numerical method based on finite difference and on a marching technique is proposed and some numerical results are provided. In a simple case, the results obtained are compared with numerical results available in literature.
引用
收藏
页码：377 / 389
页数：13
相关论文
共 50 条
  • [1] Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model
    Bouillard, Nicolas
    Eymard, Robert
    Herbin, Raphaele
    Montarnal, Philippe
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2007, 41 (06): : 975 - 1000
  • [2] Diffusion and dissolution/precipitation in an open porous reactive medium
    Maisse, E
    Pousin, J
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 82 (1-2) : 279 - 290
  • [3] Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium
    Ghosh, N.
    Mahato, H. S.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 440
  • [4] Mathematical and numerical modelling of limestone dissolution
    Matsubara, Hitoshi
    Yamada, Tomonori
    ENVIRONMENTAL GEOTECHNICS, 2022, 9 (05): : 274 - 285
  • [5] CHEMICAL DISSOLUTION OF A POROUS-MEDIUM BY A REACTIVE FLUID
    DACCORD, G
    PHYSICAL REVIEW LETTERS, 1987, 58 (05) : 479 - 482
  • [6] Dissolution-driven convection in a reactive porous medium
    Hallworth, MA
    Huppert, HE
    Woods, AW
    JOURNAL OF FLUID MECHANICS, 2005, 535 : 255 - 285
  • [7] Mathematical modelling of moisture desorption in a porous medium
    Peng, SW
    Mizukami, K
    Liu, W
    INTERNATIONAL JOURNAL OF ENERGY RESEARCH, 1996, 20 (10) : 923 - 931
  • [8] Injection moulding: Mathematical modelling and numerical simulations
    Antonelli, D
    Farina, A
    PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON FLOW PROCESSES IN COMPOSITE MATERIALS, 1999, : 145 - 152
  • [9] Numerical modelling of convection in a reactive porous medium with a mobile mush-liquid interface
    Butler, SL
    Huppert, HE
    Worster, MG
    JOURNAL OF FLUID MECHANICS, 2006, 549 : 99 - 129
  • [10] Diffusion of chemically reactive species in a porous medium
    Vajravelu, K
    Cannon, JR
    Rollins, D
    QUARTERLY OF APPLIED MATHEMATICS, 2006, 64 (01) : 17 - 28
12345