Coupled groundwater flow and transport: 2. Thermohaline and 3D convection systems
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Ackerer, 1996, Reply to contribution of reference 11, Water Resour. Res., 32, 1911, 10.1029/96WR00566
Angisara, 1989, Natural convection flows due to the combined buoyancy of heat and mass diffusion in a thermally stratified medium, J. Heat Transfer, 111, 657, 10.1115/1.3250733
Axelsson, 1994
Beauwens, 1990, Modified incomplete factorization strategies, 1
Behie, 1981, Block iterative methods for fully implicit reservoir simulation, SPEJ Soc. Pet. Eng. J., 658
Beukema, 1983, Three-dimensional natural convection in a confined porous medium with internal heat generation, Int. J. Heat Mass Transfer, 26, 451, 10.1016/0017-9310(83)90049-2
Bixler, 1989, An improved time integrator for finite element analysis, Communications in Applied Numerical Methods, 5, 69, 10.1002/cnm.1630050203
1995, Vol. 94
Caltagirone, 1981, Structurations thermoconvectives tridimensionelles dans une couche poreuse horizontale, J. Mécanique, 20, 219
Chan, 1981, Analysis of transient three-dimensional natural convection in porous media, ASME J. Heat Transfer, 103, 242, 10.1115/1.3244448
Cordes, 1996, Comment on contribution of reference 51, Water Resour. Res., 32, 1905, 10.1029/96WR00567
Croucher, 1995, The Henry problem for saltwater intrusion, Water Resour. Res., 31, 1809, 10.1029/95WR00431
Diersch, 1981, Primitive variables finite element solutions of free convection flows in porous media, Zeitschr. Angew. Math. Mech. (ZAMM), 61, 325, 10.1002/zamm.19810610707
Diersch, 1981, Study of free convective flows in porous media and effects of mechanical dispersion using finite element methods, Gerlands Beiträge zur Geophysik, 90, 489
Diersch, 1983, On finite element upwinding and its numerical performance in simulating coupled convective transport processes, Zeitschr. Angew. Math. Mech. (ZAMM), 63, 479, 10.1002/zamm.19830631003
Diersch, 1984, Finite element analysis of dispersion-affected saltwater upconing below a pumping well, Appl. Math. Modelling, 8, 305, 10.1016/0307-904X(84)90143-4
Diersch, 1988, Finite element modelling of recirculating density-driven saltwater intrusion processes in ground-water, Adv. Water Resour., 11, 25, 10.1016/0309-1708(88)90019-X
Diersch, 1994, Computational aspects in developing an interactive 3D groundwater transport simulator using FEM and GIS, 313
Diersch, 1995, Three-dimensional modeling of flow and contaminant transport processes arising in flooding the Königstein uranium pit, 121
Diersch, 1996, Interactive, graphics-based finite-element simulation system FEFLOW for modeling groundwater flow, contaminant mass and heat transport processes
Diersch, 1996, On finite-element analysis of spatio-temporal buoyancy-driven convection processes in porous media, 407
Diersch, 1996, FEFLOW — Physical basis of modeling, 82
Elder, 1967, Transient convection in a porous medium, J. Fluid Mech., 27, 609, 10.1017/S0022112067000576
Evans, 1989, Free thermohaline convection in sediments surrounding a salt column, J. Geophys. Res., 94, 12413, 10.1029/JB094iB09p12413
Fan, 1994, A numerical study of variable density flow and mixing in porous media, Water Resour. Res., 30, 2707, 10.1029/94WR01180
Frind, 1982, Simulation of long-term transient density-dependent transport in groundwater, Adv. Water Resour., 5, 73, 10.1016/0309-1708(82)90049-5
Galeati, 1992, Coupled and partially coupled Eulerian-Lagrangian model of freshwater-seawater mixing, Water Resour. Res., 28, 149, 10.1029/91WR01927
Gartling, 1985, Numerical study of the application of the Boussinesq approximation for a fluid-saturated porous medium, Int. J. Numer. Methods Fluids, 5, 995, 10.1002/fld.1650051105
Gresho, 1979, A new finite element for Boussinesq fluids, 12
Gresho, 1979, On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions, 53
Hassanizadeh, 1988, On the modeling of brine transport in porous media, Water Resour. Res., 24, 321, 10.1029/WR024i003p00321
Herbert, 1988, Coupled groundwater flow and solute transport with fluid density strongly dependent upon concentration, Water Resour. Res., 24, 1781, 10.1029/WR024i010p01781
Hestenes, 1952, Methods of conjugate gradients for solving linear systems, J. Res. Natl. Bur. Stand. Sect. B, 49, 409, 10.6028/jres.049.044
Holst, 1972, Transient three-dimensional natural convection in confined porous media, Int. J. Heat Mass Transfer., 15, 73, 10.1016/0017-9310(72)90167-6
Horne, 1974, Oscillatory convection in a porous medium heated from below, J. Fluid Mech., 66, 339, 10.1017/S0022112074000231
Horne, 1979, Three-dimensional natural convection in a confined porous medium heated from below, J. Fluid Mech., 92, 751, 10.1017/S0022112079000860
Horne, 1980, On the evaluation of thermal disturbances during natural convection in a porous medium, J. Fluid Mech., 100, 385, 10.1017/S0022112080001218
Huyakorn, 1977, Finite element models for coupled groundwater and convective dispersion, 131
Huyakorn, 1987, Saltwater intrusion in aquifers: development and testing of a three-dimensional finite element model, Water Resour. Res., 23, 293, 10.1029/WR023i002p00293
Kakinuma, 1988, The behaviour of groundwater with dispersion in coastal aquifers, J. Hydrology, 98, 225, 10.1016/0022-1694(88)90016-9
Knaber, 1996, Consistent velocity approximation for finite volume or element discretization of density driven flow in porous media, Vol. 1, 93
Kolditz, 1996, Benchmarks for numerical groundwater simulations
Kolditz, 1998, Coupled groundwater flow and transport: 1, Verification of variable-density flow and transport models, Adv. Water Resour., 21, 27, 10.1016/S0309-1708(96)00034-6
Konikow, 1996, Modelling brine transport in a porous medium: a re-evaluation of the HYDROCOIN Level 1, Case 5 problem, 363
Lee, 1977, Numerical smoothing techniques applied to some finite element solutions of the Navier-Stokes equations, 127
Leijnse, 1992, Three-dimensional modeling of coupled flow and transport in porous media
Letniowski, 1989, An overview of preconditioned iterative methods for sparse matrix equations, 32
Lever, 1985, On the equations for the flow of concentrated salt solution through a porous medium, U.K. DOE Report No. DOE/RW/85.100
Meijerink, 1981, Guidelines for the usage of incomplete decomposition in solving sets of linear systems as they occur in practical problems, J. Comput. Physics, 44, 134, 10.1016/0021-9991(81)90041-3
Mercer, 1974, Finite element analysis of hydrothermal systems, 401
Mosé, 1994, Application of the mixed hybrid finite element approximation in a groundwater flow model: Luxury or necessity?, Water Resour. Res., 30, 3001, 10.1029/94WR01786
Murray, 1989, Double-diffusive convection on a porous medium, J. Fluid Mech., 201, 147, 10.1017/S002211208900087X
Nield, 1968, Onset of thermohaline convection in a porous medium, Water Resour. Res., 11, 553, 10.1029/WR004i003p00553
Nield, 1992
Oldenburg, 1995, Dispersive transport dynamics in a strongly coupled groundwater-brine system, Water Resour. Res., 31, 289, 10.1029/94WR02272
Perrochet, 1996
Pinder, 1970, A numerical technique for calculating the transient position of the saltwater front, Water Resour. Res., 6, 875, 10.1029/WR006i003p00875
Riley, 1991, Time-periodic convection in porous media: the evolution of Hopf bifurcations with aspect ratio, J. Fluid Mech., 223, 457, 10.1017/S0022112091001490
Rubin, 1976, Onset of thermohaline convection in a cavernous aquifer, Water Resour. Res., 12, 141, 10.1029/WR012i002p00141
Rubin, 1983, Thermohaline convection in flowing groundwater, Adv. Water Resour., 6, 146, 10.1016/0309-1708(83)90027-1
Saad, 1986, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comp., 7, 856, 10.1137/0907058
Sauter, 1994, Streamline calculations using continous and discontinuous velocity fields and several time integration methods, 347
Schincariol, 1994, On the generation of instabilities in variable density flow, Water Resour. Res., 30, 913, 10.1029/93WR02951
Schubert, 1979, Three-dimensional and multicellular steady and unsteady convection in fluid-saturated porous media at high Rayleigh numbers, J. Fluid Mech., 94, 25, 10.1017/S0022112079000926
Schubert, 1982, Transitions in time-dependent thermal convection in fluid-saturated porous media, J. Fluid Mech., 121, 301, 10.1017/S0022112082001918
Segol, 1975, A Galerkin finite element technique for calculating the transient position of the saltwater front, Water Resour. Res., 11, 343, 10.1029/WR011i002p00343
Shen, 1989, The evolution of the double-diffusive instabilities: salt fingers, Phys. Fluids, A1, 5
Sonneveld, 1989, CGS, a fast Lanczos-type solver for nonsymmetric linear systems, SIAM J. Sci. Stat. Comp., 10, 36, 10.1137/0910004
Straus, 1979, Three-dimensional convection in a cubic box of fluid-saturated porous material, J. Fluid Mech., 91, 155, 10.1017/S0022112079000082
Straus, 1981, Modes of finite-amplitude three-dimensional convection in rectangular boxes of fluid-saturated material, J. Fluid Mech., 103, 23, 10.1017/S0022112081001213
Tong, 1992, A comparative study of preconditioned Lanczos methods for nonsymmetric linear systems, 118
Trevisan, 1985, Natural convection with combined heat and mass transfer buoyancy effects in a porous medium, Int. J. Heat Mass Transfer, 28, 1597, 10.1016/0017-9310(85)90261-3
Tyvand, 1980, Thermohaline instability in anisotropic porous media, Water Resour. Res., 16, 325, 10.1029/WR016i002p00325
Van der Vorst, 1992, Bi-CGSTAB: A fast and smoothly convergent variant of BiCG for the solution of nonsymmetric linear systems, SIAM J. Sci. Stat. Comp., 13, 631, 10.1137/0913035
Voss, 1987, Variable density flow and solute transport simulation of regional aquifers containing a narrow freshwater-saltwater transition zone, Water Resour. Res., 26, 2097
Xue, 1995, A three-dimensional miscible transport model for seawater intrusion in China, Water Resour. Res., 31, 903, 10.1029/94WR02379
Yeh, 1981, On the computation of Darcian velocity and mass balance in the finite element modeling of groundwater flow, Water Resour. Res., 17, 1529, 10.1029/WR017i005p01529
Zebib, 1978, Three-dimensional natural convection motion in a confined medium, Phys. Fluids, 21, 1, 10.1063/1.862066