-
1
-
-
0010639331
-
A finite element collocation method for variably saturated flow in two space dimensions
-
Allen, M. B., and C. L. Murphy, A finite element collocation method for variably saturated flow in two space dimensions, Water Resour. Res., 22(11), 1537-1542, 1986.
-
(1986)
Water Resour. Res.
, vol.22
, Issue.11
, pp. 1537-1542
-
-
Allen, M.B.1
Murphy, C.L.2
-
3
-
-
3543139663
-
-
Soc. for Ind. and Appl. Math., Philadelphia, Pa.
-
Brenan, K. E., S. L. Campbell, and L. R. Petzold, The Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Classics Appl. Math., vol. 4, Soc. for Ind. and Appl. Math., Philadelphia, Pa., 1996.
-
(1996)
The Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Classics Appl. Math.
, vol.4
-
-
Brenan, K.E.1
Campbell, S.L.2
Petzold, L.R.3
-
4
-
-
0002061933
-
Properties of porous media affecting fluid flow
-
Brooks, R. H., and A. T. Corey, Properties of porous media affecting fluid flow, J. Irrig. Drain. Div. Am. Soc. Civ. Eng., 92(IR2), 61-88, 1966.
-
(1966)
J. Irrig. Drain. Div. Am. Soc. Civ. Eng.
, vol.92
, Issue.2 IR
, pp. 61-88
-
-
Brooks, R.H.1
Corey, A.T.2
-
5
-
-
0000286812
-
Using Krylov methods in the solution of large-scale differential-algebraic systems
-
Brown, P. N., A. C. Hindmarsh, and L. R. Petzold, Using Krylov methods in the solution of large-scale differential-algebraic systems, SIAM J. Sci. Comput., 15, 1467-1488, 1994.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1467-1488
-
-
Brown, P.N.1
Hindmarsh, A.C.2
Petzold, L.R.3
-
6
-
-
0004045887
-
-
PWS, Boston, Mass.
-
Burden, R. L., and J. D. Faires, Numerical Analysis, PWS, Boston, Mass., 1993.
-
(1993)
Numerical Analysis
-
-
Burden, R.L.1
Faires, J.D.2
-
7
-
-
0025585761
-
A general mass-conservative numerical solution for the unsaturated flow equation
-
Celia, M. A., E. T. Bouloutas, and R. L. Zarba, A general mass-conservative numerical solution for the unsaturated flow equation, Water Resour. Res., 26(7), 1483-1496, 1990.
-
(1990)
Water Resour. Res.
, vol.26
, Issue.7
, pp. 1483-1496
-
-
Celia, M.A.1
Bouloutas, E.T.2
Zarba, R.L.3
-
9
-
-
0000581584
-
A finite-difference method for unsteady flow in variably saturated porous media: Application to a single pumping well
-
Cooley, R. L., A finite-difference method for unsteady flow in variably saturated porous media: Application to a single pumping well, Water Resour. Res., 7(10), 1607-1625, 1971.
-
(1971)
Water Resour. Res.
, vol.7
, Issue.10
, pp. 1607-1625
-
-
Cooley, R.L.1
-
10
-
-
0020969495
-
Some new procedures for numerical solution of variably saturated flow problems
-
Cooley, R. L., Some new procedures for numerical solution of variably saturated flow problems, Water Resour. Res., 19(5), 1271-1285, 1983.
-
(1983)
Water Resour. Res.
, vol.19
, Issue.5
, pp. 1271-1285
-
-
Cooley, R.L.1
-
12
-
-
0003617434
-
-
Soc. for Ind. and Appl. Math., Philadelphia, Pa.
-
Dennis, J. E., and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Soc. for Ind. and Appl. Math., Philadelphia, Pa., 1996.
-
(1996)
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
-
-
Dennis, J.E.1
Schnabel, R.B.2
-
13
-
-
0029413107
-
Robust numerical methods for saturated-unsaturated flow with dry initial conditions in heterogeneous media
-
Forsyth, P. A., Y. S. Wu, and K. Pruess, Robust numerical methods for saturated-unsaturated flow with dry initial conditions in heterogeneous media. Adv. Water Resour., 18, 25-38, 1995.
-
(1995)
Adv. Water Resour.
, vol.18
, pp. 25-38
-
-
Forsyth, P.A.1
Wu, Y.S.2
Pruess, K.3
-
14
-
-
33847526155
-
Three-dimensional, transient, saturated-unsaturated flow in a groundwater basin
-
Freeze, R. A., Three-dimensional, transient, saturated-unsaturated flow in a groundwater basin, Water Resour. Res., 7(2), 347-366, 1971.
-
(1971)
Water Resour. Res.
, vol.7
, Issue.2
, pp. 347-366
-
-
Freeze, R.A.1
-
16
-
-
0000801704
-
Numerical solution of the moisture flow equation for infiltration into layered soils
-
Hanks, R. J., and S. A. Bowers, Numerical solution of the moisture flow equation for infiltration into layered soils. Soil Sci. Soc. Am. Proc., 26, 530-534, 1962.
-
(1962)
Soil Sci. Soc. Am. Proc.
, vol.26
, pp. 530-534
-
-
Hanks, R.J.1
Bowers, S.A.2
-
17
-
-
0018302163
-
A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow problems
-
Haverkamp, R., and M. Vauclin, A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow problems, Water Resour. Res., 15(1), 181-187, 1979.
-
(1979)
Water Resour. Res.
, vol.15
, Issue.1
, pp. 181-187
-
-
Haverkamp, R.1
Vauclin, M.2
-
18
-
-
3543119694
-
Numeric studies of a composite soil moisture ground-water system
-
Hornberger, G. M., and I. Remson, Numeric studies of a composite soil moisture ground-water system, Water Resour. Res., 5(4), 797-802, 1969.
-
(1969)
Water Resour. Res.
, vol.5
, Issue.4
, pp. 797-802
-
-
Hornberger, G.M.1
Remson, I.2
-
19
-
-
85017239854
-
-
Academic, San Diego, Calif.
-
Huyakorn, P. S., and G. F. Pinder, Computational Methods in Subsurface Flow, Academic, San Diego, Calif., 1983.
-
(1983)
Computational Methods in Subsurface Flow
-
-
Huyakorn, P.S.1
Pinder, G.F.2
-
20
-
-
0021640749
-
Techniques for making finite elements competitive in modeling flow in variably saturated porous media
-
Huyakorn, P. S., S. D. Thomas, and B. M. Thompson, Techniques for making finite elements competitive in modeling flow in variably saturated porous media. Water Resour. Res., 20(8), 1099-1115, 1984.
-
(1984)
Water Resour. Res.
, vol.20
, Issue.8
, pp. 1099-1115
-
-
Huyakorn, P.S.1
Thomas, S.D.2
Thompson, B.M.3
-
21
-
-
0014732250
-
Newton's method under mild differentiability conditions
-
Keller, H. B., Newton's method under mild differentiability conditions, J. Comput. Syst. Sci., 4, 15-28, 1970.
-
(1970)
J. Comput. Syst. Sci.
, vol.4
, pp. 15-28
-
-
Keller, H.B.1
-
22
-
-
3543150287
-
-
Soc. for Ind. and Appl. Math., Philadelphia, Pa.
-
Kelley, C. T., Iterative Methods for Linear and Nonlinear Equations, Frontiers Appl. Math., vol. 16, Soc. for Ind. and Appl. Math., Philadelphia, Pa., 1995.
-
(1995)
Iterative Methods for Linear and Nonlinear Equations, Frontiers Appl. Math.
, vol.16
-
-
Kelley, C.T.1
-
23
-
-
0003285917
-
Termination of Newton/chord iterations and the method of lines
-
Kelley, C. T., C. T. Miller, and M. D. Tocci, Termination of Newton/chord iterations and the method of lines, SLAM J. Sci. Comput., 19(1), 280-290, 1998.
-
(1998)
SLAM J. Sci. Comput.
, vol.19
, Issue.1
, pp. 280-290
-
-
Kelley, C.T.1
Miller, C.T.2
Tocci, M.D.3
-
24
-
-
0023524187
-
Development and evaluation of closed-form expressions for hysteretic soil hydraulic properties
-
Kool, J. B., and J. C. Parker, Development and evaluation of closed-form expressions for hysteretic soil hydraulic properties, Water Resour. Res., 23(1), 105-114, 1987.
-
(1987)
Water Resour. Res.
, vol.23
, Issue.1
, pp. 105-114
-
-
Kool, J.B.1
Parker, J.C.2
-
25
-
-
0022264273
-
Determining soil hydraulic properties from one-step outflow experiments by parameter estimation, I, Theory and numerical studies
-
Kool, J. B., J. C. Parker, and M. T. van Genuchten, Determining soil hydraulic properties from one-step outflow experiments by parameter estimation, I, Theory and numerical studies, Soil Sci. Soc. Am. J., 49, 1348-1354, 1985.
-
(1985)
Soil Sci. Soc. Am. J.
, vol.49
, pp. 1348-1354
-
-
Kool, J.B.1
Parker, J.C.2
Van Genuchten, M.T.3
-
26
-
-
0024838723
-
A model for hysteretic constitutive relations governing multiphase flow, 3, Refinements and numerical simulations
-
Lenhard, R. J., J. C. Parker, and J. J. Kaluarachchi, A model for hysteretic constitutive relations governing multiphase flow, 3, Refinements and numerical simulations, Water Resour. Res., 25(7), 1727-1736, 1989.
-
(1989)
Water Resour. Res.
, vol.25
, Issue.7
, pp. 1727-1736
-
-
Lenhard, R.J.1
Parker, J.C.2
Kaluarachchi, J.J.3
-
27
-
-
0026947470
-
The influence of porous medium characteristics and measurement scale on pore-scale distributions of residual nonaqueous phase liquids
-
Mayer, A. S., and C. T. Miller, The influence of porous medium characteristics and measurement scale on pore-scale distributions of residual nonaqueous phase liquids, J. Contam. Hydrol., 11(3/4), 189-213, 1992.
-
(1992)
J. Contam. Hydrol.
, vol.11
, Issue.3-4
, pp. 189-213
-
-
Mayer, A.S.1
Miller, C.T.2
-
28
-
-
0022029568
-
A mass-conservative procedure for time-stepping in models of unsaturated flow
-
Milly, P. C. D., A mass-conservative procedure for time-stepping in models of unsaturated flow, Adv. Water Resour., 8(3), 32-36, 1985.
-
(1985)
Adv. Water Resour.
, vol.8
, Issue.3
, pp. 32-36
-
-
Milly, P.C.D.1
-
29
-
-
0016961814
-
A new model for predicting the hydraulic conductivity of unsaturated porous media
-
Mualem, Y., A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 12, 513-522, 1976.
-
(1976)
Water Resour. Res.
, vol.12
, pp. 513-522
-
-
Mualem, Y.1
-
30
-
-
0003602606
-
-
Academic, San Diego, Calif.
-
Ortega, J. M., and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Academic, San Diego, Calif., 1970.
-
(1970)
Iterative Solution of Nonlinear Equations in Several Variables
-
-
Ortega, J.M.1
Rheinboldt, W.C.2
-
31
-
-
0028578603
-
Mass conservative numerical solutions of the head-based Richards' equation
-
Rathfelder, K., and L. M. Abriola, Mass conservative numerical solutions of the head-based Richards' equation, Water Resour. Res., 30(9), 2579-2586, 1994.
-
(1994)
Water Resour. Res.
, vol.30
, Issue.9
, pp. 2579-2586
-
-
Rathfelder, K.1
Abriola, L.M.2
-
32
-
-
34247647193
-
Capillary conduction of liquids in porous media
-
Richards, L. A., Capillary conduction of liquids in porous media, Physics, 1, 318-333, 1931.
-
(1931)
Physics
, vol.1
, pp. 318-333
-
-
Richards, L.A.1
-
33
-
-
0027098650
-
Cubic approximation of hydraulic properties for simulations of unsaturated flow
-
Ross, P. J., Cubic approximation of hydraulic properties for simulations of unsaturated flow, Water Resour. Res., 28(10), 2617-2620, 1992.
-
(1992)
Water Resour. Res.
, vol.28
, Issue.10
, pp. 2617-2620
-
-
Ross, P.J.1
-
34
-
-
78650175588
-
Numerical analysis of ponded rainfall infiltration
-
edited by P. E. Rijtema and H. Wassink, UNESCO, Paris
-
Rubin, J., Numerical analysis of ponded rainfall infiltration, in Water in the Unsaturated Zone, vol. 1, edited by P. E. Rijtema and H. Wassink, pp. 440-451, UNESCO, Paris, 1966.
-
(1966)
Water in the Unsaturated Zone
, vol.1
, pp. 440-451
-
-
Rubin, J.1
-
35
-
-
0021497077
-
Calculation of internodal conductances for unsaturated flow simulations: A comparison
-
Schnabel, R. R., and E. B. Richie, Calculation of internodal conductances for unsaturated flow simulations: A comparison, Soil Sci. Soc. Am. J., 48, 1006-1010, 1984.
-
(1984)
Soil Sci. Soc. Am. J.
, vol.48
, pp. 1006-1010
-
-
Schnabel, R.R.1
Richie, E.B.2
-
36
-
-
0020949944
-
Hysteretic effects on net infiltration
-
Am. Soc. of Agric. Eng., St. Joseph, Mich.
-
Scott, P. S., G. J. Farquhar, and N. Kouwen, Hysteretic effects on net infiltration, in Advances in Infiltration, pp. 163-170, Am. Soc. of Agric. Eng., St. Joseph, Mich., 1983.
-
(1983)
Advances in Infiltration
, pp. 163-170
-
-
Scott, P.S.1
Farquhar, G.J.2
Kouwen, N.3
-
37
-
-
0003862042
-
The CHAIN_2D code for simulating the two-dimensional movement of water, heat, and multiple solutes in variably-saturated porous media
-
U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif.
-
Simunek, J., and M. T. van Genuchten, The CHAIN_2D code for simulating the two-dimensional movement of water, heat, and multiple solutes in variably-saturated porous media, Tech. Rep. 136, U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif., 1994.
-
(1994)
Tech. Rep. 136
-
-
Simunek, J.1
Van Genuchten, M.T.2
-
38
-
-
0003796886
-
The SWMS_2D code for simulating water flow and solute transport in two-dimensional variably saturated media, version 1.21
-
U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif.
-
Simunek, J., T. Vogel, and M. T. van Genuchten, The SWMS_2D code for simulating water flow and solute transport in two-dimensional variably saturated media, version 1.21, Tech. Rep. 132, U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif., 1994.
-
(1994)
Tech. Rep. 132
-
-
Simunek, J.1
Vogel, T.2
Van Genuchten, M.T.3
-
39
-
-
0008357593
-
-
U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif.
-
Simunek, J., K. Huang, M. Sejna, and M. T. van Genuchten, The HYDRUS-1D Software Package for Simulating the One-Dimensional Movement of Water Heat, and Multiple Solutes Variably Saturated Media, Version 1.0, U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif., 1997.
-
(1997)
The HYDRUS-1D Software Package for Simulating the One-Dimensional Movement of Water Heat, and Multiple Solutes Variably Saturated Media, Version 1.0
-
-
Simunek, J.1
Huang, K.2
Sejna, M.3
Van Genuchten, M.T.4
-
40
-
-
0031079742
-
Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines
-
Tocci, M. D., C. T. Kelley, and C. T. Miller, Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines. Adv. Water Resour., 20(1), 1-14, 1997.
-
(1997)
Adv. Water Resour.
, vol.20
, Issue.1
, pp. 1-14
-
-
Tocci, M.D.1
Kelley, C.T.2
Miller, C.T.3
-
41
-
-
3543054249
-
Compilation of saturated and unsaturated zone modeling software
-
Robert S. Kerr Environ. Res. Lab. Off. of Res. and Dev., U.S. Environ. Prot. Agency, Ada, Okla.
-
van der Heidje, P. K. M., Compilation of saturated and unsaturated zone modeling software, Tech. Rep. EPA/R-96/009, Robert S. Kerr Environ. Res. Lab. Off. of Res. and Dev., U.S. Environ. Prot. Agency, Ada, Okla., 1996.
-
(1996)
Tech. Rep. EPA/R-96/009
-
-
Van Der Heidje, P.K.M.1
-
42
-
-
0019057216
-
A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
-
van Genuchten, M. T., A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892-898, 1980.
-
(1980)
Soil Sci. Soc. Am. J.
, vol.44
, pp. 892-898
-
-
Van Genuchten, M.T.1
-
43
-
-
0003655547
-
The RETC code for quantifying the hydraulic functions of unsaturated soils
-
U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif.
-
van Genuchten, M. T., F. J. Leij, and S. R. Yates, The RETC code for quantifying the hydraulic functions of unsaturated soils, Tech. Rep. IAG-DW12933934, U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif., 1991.
-
(1991)
Tech. Rep. IAG-DW12933934
-
-
Van Genuchten, M.T.1
Leij, F.J.2
Yates, S.R.3
-
44
-
-
0018329658
-
Experimental and numerical study of a transient, two-dimensional unsaturated-saturated water table recharge problem
-
Vauclin, M., D. Khanji, and G. Vauchad, Experimental and numerical study of a transient, two-dimensional unsaturated-saturated water table recharge problem, Water Resour. Res., 15, 1089-1101, 1979.
-
(1979)
Water Resour. Res.
, vol.15
, pp. 1089-1101
-
-
Vauclin, M.1
Khanji, D.2
Vauchad, G.3
-
45
-
-
0023962285
-
On the reliability of unsaturated hydraulic conductivity calculated from the moisture retention curve
-
Vogel, T., and M. Cislerova, On the reliability of unsaturated hydraulic conductivity calculated from the moisture retention curve, Transp. Porous Media, 3, 1-15, 1988.
-
(1988)
Transp. Porous Media
, vol.3
, pp. 1-15
-
-
Vogel, T.1
Cislerova, M.2
-
46
-
-
0026299537
-
Porous media with linearly variable hydraulic properties
-
Vogel, T., M. Cislerova, and J. W. Hopmans, Porous media with linearly variable hydraulic properties, Water Resour. Res., 27(10), 2735-2741, 1991.
-
(1991)
Water Resour. Res.
, vol.27
, Issue.10
, pp. 2735-2741
-
-
Vogel, T.1
Cislerova, M.2
Hopmans, J.W.3
-
47
-
-
0026278390
-
Numerical approximations of Darcian flow through unsaturated soil
-
Warrick, A. W., Numerical approximations of Darcian flow through unsaturated soil, Water Resour. Res., 27(6), 1215-1222, 1991.
-
(1991)
Water Resour. Res.
, vol.27
, Issue.6
, pp. 1215-1222
-
-
Warrick, A.W.1
-
48
-
-
0003785282
-
FEMWATER: A finite element model of water flow through saturated-unsaturated porous media - First revision
-
Oak Ridge Natl. Lab., Oak Ridge, Tenn.
-
Yeh, G. T., FEMWATER: A finite element model of water flow through saturated-unsaturated porous media - First revision, Tech. Rep. ORNL-5567/R1, Oak Ridge Natl. Lab., Oak Ridge, Tenn., 1987.
-
(1987)
Tech. Rep. ORNL-5567/R1
-
-
Yeh, G.T.1
-
49
-
-
0027040672
-
Estimation of finite difference interblock conductivities for simulation of infiltration into initially dry soils
-
Zaidel, J., and D. Russo, Estimation of finite difference interblock conductivities for simulation of infiltration into initially dry soils, Water Resour. Res., 28(9), 2285-2295, 1992.
-
(1992)
Water Resour. Res.
, vol.28
, Issue.9
, pp. 2285-2295
-
-
Zaidel, J.1
Russo, D.2
|