DENSITY DRIVEN GROUNDWATER FLOW SOLVED USING MESHLESS LOCAL PETROV-GALERKIN METHOD

Kolditz O, Ratke R, Diersch HG, Zielke W. Coupled groundwater flow and transport: 1. Verification of variable density flow and transport models. Adv Water Res 1998;21:27– 46.

Simpson MJ, Clement TP. Theoretical analysis of the worthiness of Henry and Elder problems as benchmarks of density-dependent groundwater flow models. Adv Water Res 2003;26:17–31. 16th International Scientific GeoConference SGEM2016 www.sgem.org 16th International Multidisciplinary Scientific GeoConference SGEM 2016

Ackerer P, Younes A. Efficient approximations for the simulation of density driven flow in porous media. Adv Water Res 2008;31:15 –27.

Younes A, Fahs M, Ahmed S. Solving density driven flow problems with efficient spatial discretizations and higher-order time integration methods.Adv Water Res 2009;32:340–52.

Lin H., Atluri S.N. The Meshless Local Petrov-Galerkin Method for Solving Incompressible Navier-Stokes Equations, Computer Modeling in Engineering & Sciences, 2001, pp. 117–142.

Sellountos EJ, Sequeira A. An advanced meshless LBIE/RBF method for solving two-dimensional incompressible fluid flows. Comput Mech 2008;41:617–31.

Kovarik K, Muzik J, Mahmood MS. A meshless solution of two dimensional unsteady flow. Eng Anal Boundary Elem 2012;36:738 –43.

Kovarik K. Numerical models of groundwater pollution. Springer-Verlag; 2000.

Henry HR. Effects of dispersion on salt encroachment in coastal aquifers, sea water in coastal aquifers. US Geol Surv Supply Pap 1964;1613-C:70– 84. 16th International Scientific GeoConference SGEM2016 www.sgem.org

Kolditz O, Ratke R, Diersch HG, Zielke W. Coupled groundwater flow and transport: 1. Verification of variable density flow and transport models. Adv Water Res 1998;21:27– 46.

Simpson MJ, Clement TP. Theoretical analysis of the worthiness of Henry and Elder problems as benchmarks of density-dependent groundwater flow models. Adv Water Res 2003;26:17–31. 16th International Scientific GeoConference SGEM2016 www.sgem.org 16th International Multidisciplinary Scientific GeoConference SGEM 2016

Ackerer P, Younes A. Efficient approximations for the simulation of density driven flow in porous media. Adv Water Res 2008;31:15 –27.

Younes A, Fahs M, Ahmed S. Solving density driven flow problems with efficient spatial discretizations and higher-order time integration methods.Adv Water Res 2009;32:340–52.

Lin H., Atluri S.N. The Meshless Local Petrov-Galerkin Method for Solving Incompressible Navier-Stokes Equations, Computer Modeling in Engineering & Sciences, 2001, pp. 117–142.

Sellountos EJ, Sequeira A. An advanced meshless LBIE/RBF method for solving two-dimensional incompressible fluid flows. Comput Mech 2008;41:617–31.

Kovarik K, Muzik J, Mahmood MS. A meshless solution of two dimensional unsteady flow. Eng Anal Boundary Elem 2012;36:738 –43.

Kovarik K. Numerical models of groundwater pollution. Springer-Verlag; 2000.

Henry HR. Effects of dispersion on salt encroachment in coastal aquifers, sea water in coastal aquifers. US Geol Surv Supply Pap 1964;1613-C:70– 84. 16th International Scientific GeoConference SGEM2016 www.sgem.org