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Articles

Numerical analysis of advection-dominated contaminant transport in saturated porous media

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Pages 536-549 | Received 15 May 2013, Accepted 10 Jan 2014, Published online: 24 Feb 2014

References

  • Ataie-Ashtiani, B., Lockington, D. A., & Volker, R. E. (1999). Truncation errors in finite difference models for solute transport equation with first-order reaction. Journal of Contaminant Hydrology, 35, 409–428.
  • Bear, J. (1979). Hydraulics of ground water. New York, NY: McGraw-Hill, 567p.
  • Brooks, A. N., & Hughes, T. J. R. (1982). Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering, 32, 199–259.
  • Christie, I., Griffiths, D. F., Mitchell, A. R., & Zienkiewicz, O. C. (1976). Finite element methods for second order differential equations with significant first derivatives. International Journal for Numerical Methods in Engineering, 10, 1389–1396.
  • Cox, R. A., & Nishikawa, T. (1991). A new total variation diminishing scheme for the solution of advective-dominant solute transport. Water Resources Research, 27, 2645–2654.
  • Demkowicz, L., Oden, J. T., Rachowicz, W., & Hardy, O. (1991). An h-p Taylor-Galerkin finite element method for compressible Euler equations’. Computer Methods in Applied Mechanics Engineering, 88, 363–396.
  • Depountis, N. (2000). Geotechnical centrifuge modeling of capillary phenomena and contaminant migration in unsaturated soils. (PhD Dissertation). University of Cardiff, UK.
  • Domenico, P. A., & Robbins, G. A. (1985). A new method of contaminant plume analysis. Ground Water, 23, 476–485.
  • Domenico, P. A. (1987). An analytical model for multidimensional transport of a decaying contaminant species. Journal of Hydrology, 91, 49–58.
  • Domenico, P. A., & Schwartz, F. (1998). Physical and chemical hydrogeology. New York, NY: Wiley, 494p
  • Donea, J., & Huerta, A. (2003). Finite element methods for flow problems. New York, NY: Wiley, 326p
  • El-Zein, A., Carter, J. P., & Airey, D. W. (2006). Three-dimensional finite element method for the analysis of soil contamination. International Journal of Numerical and Analytical Methods in Geomechnics, 30, 577–597.
  • Estabragh, A. R. S., Pereshkafti, M. R., & Javadi, A. A. (2013). Comparison between analytical and numerical methods in evaluating the pollution transport in porous media. Geotechnical and Geological Engineering, 31, 83–91.
  • Fletcher, C. A. J. (1996). Computational techniques for fluid dynamics. Fundamental and general techniques. Berlin: Springer/Heidelberg/New York, 401p.
  • Freeze, R. A., & Cherry, J. A. (1979). Groundwater. Hemel Hempstead: Prentice-Hall, International, 604p.
  • Gottardi, G., & Dall’Olio, D. (1992). A control-volume finite-element model for simulating oil-water reservoirs. Journal of Petroleum Science and Engineering, 8, 29–41.
  • Gureghian, A. B., Ward, D. S., & Cleary, R. W. (1980). A finite element model for the migration of leachate from a sanitary landfill in Long Island. Journal of the American Water Resources Association, 16, 900–906.
  • Hannani, S. K., Stanislas, M., & Dupont, P. (1995). Incompressible Navier-Stokes computations with SUPG and GLS formulations—A comparison study. Computer Methods in Applied Mechanics and Engineering, 124, 153–170.
  • Hossain, M. A., & Miah, A. S. (1999). Crank–Nicolson–Galerkin model for transport in groundwater: Refined criteria for accuracy. Applied Mathematics and Computation, 105, 173–181.
  • Hughes, T. J. R., Mallet, M., & Akira, M. (1986). A new finite element formulation for computational fluid dynamics: II. beyond SUPG. Computer Methods in Applied Mechanics and Engineering, 54, 341–355.
  • Huyakorn, P. S. & Pinder, G. F. (1977). Solution of two-phase flow using a new finite-element technique. In Proceedings of the international conference on applied numerical modelling (pp. 375–390). July 11–15. Southampton: University of Southampton.
  • Huyakorn, P. S. (1977). Solution of steady-state, convective transport equation using an upwind finite element scheme. Applied Mathematical Modelling, 1, 187–195.
  • Huyakorn, P. S., & Nikuha, K. (1979). Solution of transient transport equation using an upstream finite element scheme. Applied Mathematical Modelling, 3, 7–17.
  • Kumar, P. Praveen, & Dodagoudar, G. R. (2010). Modeling of contaminant transport through landfill liners using EFGM. International Journal of Numerical and Analytical Methods in Geomechnics, 34, 661–688.
  • Martyn-Hayden, J., & Robbins, G. A. (1997). Plume distortion and apparent attenuation due to concentration averaging in monitoring wells. Ground Water, 35, 339–346.
  • Rao, P., & Medina, M. A. (2005). A multiple domain algorithm for modeling one-dimensional transient contaminant transport flows. Applied Mathematics and Computation, 167(1), 1–15.
  • Rao, P., & Medina, M. (2006). A multiple domain algorithm for modeling two dimensional contaminant transport flows. Applied Mathematics and Computation, 174, 117–133.
  • Rowe, R. K., & Nadarajah, P. (1996). Verification tests for contaminant transport codes. In J. D. Ritchey & J. O. Rumbaugh (Eds.), Subsurface fluid-flow (ground-water and Vadose zone) modelling, ASTM STP 1288 (pp. 173–186). American Society for Testing and Materials. Retrieved from http://www.geoeng.ca/Directory/kerry%20Pub/Rowe%20and%20Nadarajah%20Conf%20-%201996.pdf
  • Sun, N. Z. (1996). Mathematical modeling of groundwater pollution. New York, NY: Springer, 377p.
  • Yee, H. C. (1987). Construction of explicit and implicit symmetric TVD schemes and their applications. Journal of Computational Physics, 68, 151–179.
  • Yeh, G. T., & Tripathi, V. S. (1989). A critical evaluation of recent developments in hydrogeochemical transport models of reactive multichemical components. Water Resources Research, 25, 93–108.
  • Zairi, M., & Rouis, M. J. (2000). Numerical and experimental simulation of pollutants migration in porous media. Bulletin of Engineering Geology and the Environment, 59, 231–238.
  • Zhang, C., & Wang, P. P. (1999). MT3DMS: A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion and Chemical Reactions of Contaminants in Groundwater Systems; Documentation and User’s Guide, Contract Report SERDP-99-1, U.S. Army Engineer Research and Development Center, Vicksburg, MS.

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