Meshfree modelling of one-dimensional contaminant transport in unsaturated porous media

References

• Belytschko , T. , Lu , Y. Y. and Gu , L. 1994a . Element-free Galerkin methods . Int. J. Numer. Methods Engng. , 37 : 229 – 256 .
   Web of Science ®Google Scholar
• Belytschko , T. , Gu , L. and Lu , Y. Y. 1994b . Fracture and crack growth by element-free Galerkin methods . Model. Simul. Mater. Sci. Engng. , 2 : 519 – 534 .
   Web of Science ®Google Scholar
• Belytschko , T. and Tabbara , M. 1996 . Dynamic fracture using element-free Galerkin methods . Int. J. Numer. Methods Engng. , 39 : 923 – 938 .
   Web of Science ®Google Scholar
• Celia , M. A. , Bouloutas , E. T. and Zarba , R. L. 1990 . A general mass-conservative numerical solution for the unsaturated flow equation . Water Resource Research , 27 : 1483 – 1496 .
   Google Scholar
• Diaw , E. B. , Lehmann , F. and Ackerer , Ph . 2001 . Modélisation du transport d'un soluté réactif en milieux poreux non saturés: Modeling a non-conservative solute transfer in unsaturated porous media . Comptes Rendus de l'Académie des Sciences – Series IIA – Earth and Planetary Science , 333 : 129 – 132 .
   Google Scholar
• Dolbow , J. and Belytschko , T. 1998 . An introduction to programming the meshless element-free Galerkin method . Arch. Comput. Mech. , 5 : 207 – 241 .
   Google Scholar
• Lancaster , P. and Salkauskas , K. 1981 . Surfaces generated by moving least-squares methods . Math. Comput. , 37 : 141 – 158 .
   Web of Science ®Google Scholar
• Liu , G. R. and Gu , Y. T. 2000 . Coupling of element-free Galerkin method and hybrid boundary element methods using modified variational formulation . Comput. Mech. , 26 : 166 – 173 .
   Google Scholar
• Liu , W. K. , Jun , S. and Zhang , Y. F. 1995 . Reproducing kernel particle methods . Int. J. Numer. Methods Engng. , 20 : 1081 – 1106 .
   Web of Science ®Google Scholar
• Lu , Y. Y. , Belytschko , T. and Tabbara , M. 1995 . Element-free Galerkin methods for wave propagation and dynamic fracture . Comput. Methods Appl. Mech. Engng. , 126 : 131 – 153 .
   Web of Science ®Google Scholar
• Milly , P. C. D. 1985 . A mass-conservative procedure for time-stepping in models of unsaturated flow . Adv. Water Resources , 8 : 32 – 36 .
   Web of Science ®Google Scholar
• Monaghan , J. J. 1988 . An introduction to SPH . Comput. Phys. Commun. , 48 : 89 – 96 .
   Web of Science ®Google Scholar
• Monaghan , J. J. 1992 . Smoothed particle hydrodynamics . Ann. Rev. Astron. Astrophys. , 30 : 543 – 574 .
   Web of Science ®Google Scholar
• Nachabe , H. M. , Islas , A. L. and Illangasekare , T. H. 1995 . Analytical solutions for water flow and solute transport in the unsaturated zone . Ground Water , 33 : 304 – 310 .
   Google Scholar
• Panday , S. , Huyakorn , P. S. , Therrien , R. and Nichols , R. L. 1993 . Improved three-dimensional finite-element techniques for field simulation of variably saturated flow and transport . J. Contaminant Hydrol. , 12 : 3 – 33 .
   Google Scholar
• Rao , B. N. and Rahman , S. 2000 . An efficient meshless method for fracture analysis of cracks . Comput. Mech. , 26 : 398 – 408 .
   Web of Science ®Google Scholar
• Rood , A. S. 1994 . GWSCREEN: A model for assessment of the groundwater pathway from surface or buried contamination . Environ. Professional , 16 : 196 – 210 .
   Google Scholar
• Rood , A. S. 2004 . A mixing-cell model for assessment of contaminant transport in the unsaturated zone under steady-state and transient flow conditions . Environ. Engng Sci. , 21 : 661 – 677 .
   Google Scholar
• Rowe , R. K. and Badv , K. 1996 . Advective–diffusive contaminant migration in unsaturated sand and gravel . J. Geotech. Engng. , 122 : 965 – 975 . ASCE
   Google Scholar
• van Genuchten , M. Th. 1980 . A closed-formed equation for predicting the hydraulic conductivity of unsaturated soils . Soil Sci. Soc. Am. J. , 44 : 892 – 898 .
   Web of Science ®Google Scholar
• van Genuchten , M. Th. 1982 . A comparison of numerical solutions of the one-dimensional unsaturated-saturated flow and mass transport equations . Adv. Water Resources , 5 : 47 – 55 .
   Google Scholar
• Wang , H. F. and Anderson , M. P. 1982 . Introduction to Groundwater Modelling: Finite Difference and Finite Element Methods , San Francisco : Freeman .
   Google Scholar
• Zheng , C. and Bennett , G. D. 1995 . Applied Contaminant Transport Modelling: Theory and Practice , New York : Van Nostrand Reinhold .
   Google Scholar