메뉴 건너뛰기




Volumn 23, Issue 1, 2008, Pages 90-95

Numerical solution of the advection-reaction-diffusion equation at different scales

Author keywords

Advection reaction diffusion equation; Numerical methods; Porous media; Segregation effect; Transport processes

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NUMERICAL METHODS; POROUS MATERIALS; PROBLEM SOLVING;

EID: 34548533575     PISSN: 13648152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.envsoft.2007.05.009     Document Type: Article
Times cited : (59)

References (27)
  • 1
    • 34147185222 scopus 로고    scopus 로고
    • MODSharp: Regional-scale numerical model for quantifying groundwater flux and contaminant discharge into the coastal zone
    • Ataie-Ashtiani B. MODSharp: Regional-scale numerical model for quantifying groundwater flux and contaminant discharge into the coastal zone. Environmental Modelling & Software 22 (2007) 1307-1315
    • (2007) Environmental Modelling & Software , vol.22 , pp. 1307-1315
    • Ataie-Ashtiani, B.1
  • 2
    • 15944406887 scopus 로고    scopus 로고
    • Numerical errors of explicit finite difference approximation for two-dimensional solute transport equation with linear sorption
    • Ataie-Ashtiani B., and Hosseini S.A. Numerical errors of explicit finite difference approximation for two-dimensional solute transport equation with linear sorption. Environmental Modelling & Software 20 (2005) 817-826
    • (2005) Environmental Modelling & Software , vol.20 , pp. 817-826
    • Ataie-Ashtiani, B.1    Hosseini, S.A.2
  • 4
    • 0037286357 scopus 로고    scopus 로고
    • A computer program for the analysis of 1-D contaminant migration through a soil layer
    • Cokca E. A computer program for the analysis of 1-D contaminant migration through a soil layer. Environmental Modelling & Software 18 (2003) 147-153
    • (2003) Environmental Modelling & Software , vol.18 , pp. 147-153
    • Cokca, E.1
  • 5
    • 34147208530 scopus 로고    scopus 로고
    • Flow and solute fluxes in integrated wetland and coastal systems
    • Ebrahimi K., Falconer R.A., and Lin B. Flow and solute fluxes in integrated wetland and coastal systems. Environmental Modelling & Software 22 (2007) 1337-1348
    • (2007) Environmental Modelling & Software , vol.22 , pp. 1337-1348
    • Ebrahimi, K.1    Falconer, R.A.2    Lin, B.3
  • 6
    • 0036591792 scopus 로고    scopus 로고
    • Reactive transport in porous media: a comparison of model prediction with laboratory visualization
    • Gramling C., Harvey C., and Meigs L. Reactive transport in porous media: a comparison of model prediction with laboratory visualization. Environmental Science & Technology 36 11 (2002) 2508-2514
    • (2002) Environmental Science & Technology , vol.36 , Issue.11 , pp. 2508-2514
    • Gramling, C.1    Harvey, C.2    Meigs, L.3
  • 9
    • 15944367803 scopus 로고    scopus 로고
    • Quantitative indices to characterize the extent of preferential flow in soils
    • Kamra S.K., and Lennartz B. Quantitative indices to characterize the extent of preferential flow in soils. Environmental Modelling & Software 20 (2005) 903-915
    • (2005) Environmental Modelling & Software , vol.20 , pp. 903-915
    • Kamra, S.K.1    Lennartz, B.2
  • 10
    • 0030618859 scopus 로고    scopus 로고
    • Bimolecular second-order reactions in spatially varying flows: Segregation induced scale-dependent transformation rates
    • Kapoor V., Gelhar L.W., and Miralles-Wilhelm F. Bimolecular second-order reactions in spatially varying flows: Segregation induced scale-dependent transformation rates. Water Resources Research 33 4 (1997) 527-536
    • (1997) Water Resources Research , vol.33 , Issue.4 , pp. 527-536
    • Kapoor, V.1    Gelhar, L.W.2    Miralles-Wilhelm, F.3
  • 11
    • 0031817307 scopus 로고    scopus 로고
    • Experimental Study of bimolecular Reaction in Pouseuille flow
    • Kapoor V., Jafvert C.T., and Lyn D.A. Experimental Study of bimolecular Reaction in Pouseuille flow. Water Resources Research 34 8 (1998) 1997-2004
    • (1998) Water Resources Research , vol.34 , Issue.8 , pp. 1997-2004
    • Kapoor, V.1    Jafvert, C.T.2    Lyn, D.A.3
  • 12
    • 33747618936 scopus 로고    scopus 로고
    • Multi-process herbicide transport in structured soil columns: experiments and model analysis
    • Köhne J.M., Köhne S., and Šimůnek J. Multi-process herbicide transport in structured soil columns: experiments and model analysis. Journal of Contaminant Hydrology 85 (2006) 1-32
    • (2006) Journal of Contaminant Hydrology , vol.85 , pp. 1-32
    • Köhne, J.M.1    Köhne, S.2    Šimůnek, J.3
  • 13
    • 1642587675 scopus 로고    scopus 로고
    • Nonstandard Eulerian-Lagrangian methods for multi-dimensional reactive transport problems
    • Kojouharov H.V., and Chen-Charpentier B.M. Nonstandard Eulerian-Lagrangian methods for multi-dimensional reactive transport problems. Applied Numerical Mathematics 49 (2004) 225-243
    • (2004) Applied Numerical Mathematics , vol.49 , pp. 225-243
    • Kojouharov, H.V.1    Chen-Charpentier, B.M.2
  • 14
    • 34548535116 scopus 로고    scopus 로고
    • Generalized Nonstandard Numerical Methods for Nonlinear Advection-Diffusion-Reaction Equations
    • LSSC 2003. Lirkov I., et al. (Ed), Springer-Verlag Berlin, Heidelberg
    • Kojouharov H.V., and Welfert B.D. Generalized Nonstandard Numerical Methods for Nonlinear Advection-Diffusion-Reaction Equations. In: Lirkov I., et al. (Ed). LSSC 2003. LNCS 2907 (2004), Springer-Verlag Berlin, Heidelberg 465-472
    • (2004) LNCS , vol.2907 , pp. 465-472
    • Kojouharov, H.V.1    Welfert, B.D.2
  • 15
    • 22544477533 scopus 로고    scopus 로고
    • Pesticide transport in an aerobic quifer with variable pH-Modeling of a field scale injection experiment
    • Laje Højberg A., Engesgaard P., and Bjerg P.L. Pesticide transport in an aerobic quifer with variable pH-Modeling of a field scale injection experiment. Journal of Contaminant Hydrology 78 (2005) 231-255
    • (2005) Journal of Contaminant Hydrology , vol.78 , pp. 231-255
    • Laje Højberg, A.1    Engesgaard, P.2    Bjerg, P.L.3
  • 18
    • 28444487455 scopus 로고    scopus 로고
    • Scale dependence of reaction rates in porous media
    • Meile C., and Tuncay K. Scale dependence of reaction rates in porous media. Adv. in Water Resources 29 1 (2006) 62-71
    • (2006) Adv. in Water Resources , vol.29 , Issue.1 , pp. 62-71
    • Meile, C.1    Tuncay, K.2
  • 20
    • 33750460895 scopus 로고    scopus 로고
    • Simulation of constituent transport using a reduced 3D constituent transport model (CTM) driven by HF Radar: Model application and error analysis
    • Ojo T.O., Bonner J.S., and Page C.A. Simulation of constituent transport using a reduced 3D constituent transport model (CTM) driven by HF Radar: Model application and error analysis. Environmental Modelling & Software 22 (2007) 488-501
    • (2007) Environmental Modelling & Software , vol.22 , pp. 488-501
    • Ojo, T.O.1    Bonner, J.S.2    Page, C.A.3
  • 22
    • 0034177525 scopus 로고    scopus 로고
    • Experimental study of bimolecular reaction kinetics in porous media
    • Raje D.S., and Kapoor V. Experimental study of bimolecular reaction kinetics in porous media. Environmental Science & Technology 3 (2000) 123-1239
    • (2000) Environmental Science & Technology , vol.3 , pp. 123-1239
    • Raje, D.S.1    Kapoor, V.2
  • 23
    • 9944233132 scopus 로고    scopus 로고
    • Transport of conservative and reactive tracers through a naturally structured upland podzol field lysimeter
    • Stutter M.I., Deeks L.K., and Billett M.F. Transport of conservative and reactive tracers through a naturally structured upland podzol field lysimeter. Journal of Hydrology 300 (2005) 1-19
    • (2005) Journal of Hydrology , vol.300 , pp. 1-19
    • Stutter, M.I.1    Deeks, L.K.2    Billett, M.F.3
  • 24
    • 0027042913 scopus 로고
    • Accuracy of Operator Splitting for Advection-Dispersion-Reaction Problems
    • Valocchi A.J., and Malmstead M. Accuracy of Operator Splitting for Advection-Dispersion-Reaction Problems. Water Resources Research 28 5 (1992) 1471-1476
    • (1992) Water Resources Research , vol.28 , Issue.5 , pp. 1471-1476
    • Valocchi, A.J.1    Malmstead, M.2
  • 25
    • 33646101842 scopus 로고    scopus 로고
    • CoZMo-POP 2-A fugacity-based dynamic multi-compartmental mass balance model of the fate of persistent organic pollutants
    • Wania F., Breivik K., Persson N.J., and McLachlan M.S. CoZMo-POP 2-A fugacity-based dynamic multi-compartmental mass balance model of the fate of persistent organic pollutants. Environmental Modelling & Software 21 (2006) 868-884
    • (2006) Environmental Modelling & Software , vol.21 , pp. 868-884
    • Wania, F.1    Breivik, K.2    Persson, N.J.3    McLachlan, M.S.4
  • 26
    • 34548540640 scopus 로고    scopus 로고
    • Wheeler, M.F., Dawson, C.N., 1987. An operator-splitting method for advection-diffusion-reaction problems, Tech. Rep. 87-9, Dept. of Math. Sci., Rice Univ., Houston, TX.
  • 27
    • 33747127821 scopus 로고    scopus 로고
    • Modelling nitrate transport and turnover in a lowland catchment system
    • Wriedt G., and Rode M. Modelling nitrate transport and turnover in a lowland catchment system. Journal of Hydrology 328 (2006) 157-176
    • (2006) Journal of Hydrology , vol.328 , pp. 157-176
    • Wriedt, G.1    Rode, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.