메뉴 건너뛰기




Volumn 31, Issue 1-3, 1998, Pages 313-330

Boundary integral procedures for unsaturated flow problems

Author keywords

Boundary integral theory; Heterogeneity; Non linearity; Unsaturated flow

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; DIFFUSION; INTEGRAL EQUATIONS; PROBLEM SOLVING;

EID: 0032101485     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (46)
  • 1
    • 84985371483 scopus 로고
    • A finite element collocation method for variably saturated flows in porous media
    • Allen, M. B. and Murphy, C. L.: 1985, A finite element collocation method for variably saturated flows in porous media. Num. Meth. Partial Differential Equations 1(3), 229-239.
    • (1985) Num. Meth. Partial Differential Equations , vol.1 , Issue.3 , pp. 229-239
    • Allen, M.B.1    Murphy, C.L.2
  • 2
    • 2142721887 scopus 로고
    • Boundary element analysis of slow non-Newtonian flow
    • P. K. Banerjee, and L. Morino (eds)
    • Bush, M. B. and Tanner, R. I.: 1990, Boundary element analysis of slow non-Newtonian flow, in: P. K. Banerjee, and L. Morino (eds), Boundary Element Methods in Nonlinear Fluid Dynamics, pp. 285-317.
    • (1990) Boundary Element Methods in Nonlinear Fluid Dynamics , pp. 285-317
    • Bush, M.B.1    Tanner, R.I.2
  • 4
    • 84934730176 scopus 로고
    • Solution of equation for vertical unsaturated flow of soil water
    • Bruch, J. C., jr. and Zyvolovsky, G.: 1973c, Solution of equation for vertical unsaturated flow of soil water, Soil Science 116, 417-4-22.
    • (1973) Soil Science , vol.116 , pp. 417-422
    • Bruch Jr., J.C.1    Zyvolovsky, G.2
  • 5
    • 0025585761 scopus 로고
    • A general mass-conservation numerical solution for unsaturated flow equation
    • Celia, M. A., Bouloutas, E. T. and Zarba, R. L.: 1990, A general mass-conservation numerical solution for unsaturated flow equation, Water Resour. Res. 26(7), 1483-1496.
    • (1990) Water Resour. Res. , vol.26 , Issue.7 , pp. 1483-1496
    • Celia, M.A.1    Bouloutas, E.T.2    Zarba, R.L.3
  • 6
    • 84944838250 scopus 로고    scopus 로고
    • Numerical calculation of equivalent grid block conductivity tensors for heterogeneous porous media
    • Durlofsky, L. J.: Numerical calculation of equivalent grid block conductivity tensors for heterogeneous porous media, Water Resour. Res. 27(5), 699-708.
    • Water Resour. Res. , vol.27 , Issue.5 , pp. 699-708
    • Durlofsky, L.J.1
  • 7
    • 0026416745 scopus 로고
    • Application of the boundary element method to transient heat conduction
    • Dargush, G. F. and Banerjee, P. K.: 1991, Application of the boundary element method to transient heat conduction, Int. J. Num. Meth. Eng. 31, 1231-1247.
    • (1991) Int. J. Num. Meth. Eng. , vol.31 , pp. 1231-1247
    • Dargush, G.F.1    Banerjee, P.K.2
  • 8
    • 84944496090 scopus 로고
    • The mechanism of groundwater recharge and discharge: 1. One dimensional vertical, unsteady, unsaturated flow above a recharging or discharging groundwater flow system
    • Freeze, R. A.: 1969, The mechanism of groundwater recharge and discharge: 1. One dimensional vertical, unsteady, unsaturated flow above a recharging or discharging groundwater flow system, Water Resour. Res. 5, 153-171.
    • (1969) Water Resour. Res. , vol.5 , pp. 153-171
    • Freeze, R.A.1
  • 9
    • 0001367417 scopus 로고
    • A numerical study of three moving grid methods for one-dimensional partial differntial equations which are based on the methods of lines
    • Furzeland, R. M., Verwer, J. G. and Zegeling, P. A.: 1990, A numerical study of three moving grid methods for one-dimensional partial differntial equations which are based on the methods of lines, J. Comput. Phys. 89, 349-388.
    • (1990) J. Comput. Phys. , vol.89 , pp. 349-388
    • Furzeland, R.M.1    Verwer, J.G.2    Zegeling, P.A.3
  • 10
    • 0027043645 scopus 로고
    • Finite element model for one-dimensional infiltration in unsaturated soil
    • Gotardi, G. And Venutelli, M.: 1992, Finite element model for one-dimensional infiltration in unsaturated soil, Water Resour. Res. 28, 3259-3267.
    • (1992) Water Resour. Res. , vol.28 , pp. 3259-3267
    • Gotardi, G.1    Venutelli, M.2
  • 12
    • 0018302163 scopus 로고
    • A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow problems
    • Haverkamp, R. and Vauclin, M.: 1979, A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow problems, Water Resour. Res. 15(1) 181-187.
    • (1979) Water Resour. Res. , vol.15 , Issue.1 , pp. 181-187
    • Haverkamp, R.1    Vauclin, M.2
  • 13
    • 0023558891 scopus 로고
    • A numerical method for the problem of unsaturated flow in soils
    • Huang, K.: 1987, A numerical method for the problem of unsaturated flow in soils, J. Water Conser. 9, 9-16.
    • (1987) J. Water Conser. , vol.9 , pp. 9-16
    • Huang, K.1
  • 14
    • 0021640749 scopus 로고
    • Technique for making finite element competitive in modelling flow in variably saturated porous media
    • Huyarkon, P. S., Thomas, S. D. and Thompson, B. M.: 1984, Technique for making finite element competitive in modelling flow in variably saturated porous media, Water Resour. Res. 20, 1099-1115.
    • (1984) Water Resour. Res. , vol.20 , pp. 1099-1115
    • Huyarkon, P.S.1    Thomas, S.D.2    Thompson, B.M.3
  • 15
    • 0022864483 scopus 로고
    • A three-dimensional finite-element model for simulating water flow in variably saturated porous media
    • Huyarkon, P. S., Springer, E. P., Guvanasen, V. and Wadsworth, T. D.: 1986, A three-dimensional finite-element model for simulating water flow in variably saturated porous media, Water Resour. Res. 22, 1790-1808.
    • (1986) Water Resour. Res. , vol.22 , pp. 1790-1808
    • Huyarkon, P.S.1    Springer, E.P.2    Guvanasen, V.3    Wadsworth, T.D.4
  • 16
    • 45449123594 scopus 로고
    • Moving finite element methods for evolutionary problems, II applications
    • Johnson, I. W., Wathen, A. J. and Baines, M. J. 1988, Moving finite element methods for evolutionary problems, II applications, J. Comput. Phys. 79, 270-297.
    • (1988) J. Comput. Phys. , vol.79 , pp. 270-297
    • Johnson, I.W.1    Wathen, A.J.2    Baines, M.J.3
  • 17
    • 0027063156 scopus 로고
    • Algorithm for solving Richards' equation for variably saturated soils
    • Kirkland, M. R. and Hills, R. G.: 1992, Algorithm for solving Richards' equation for variably saturated soils, Wafer Resour,. Res. 28, 2049-2058.
    • (1992) Wafer Resour,. Res. , vol.28 , pp. 2049-2058
    • Kirkland, M.R.1    Hills, R.G.2
  • 19
    • 0022029568 scopus 로고
    • A mass-conservative procedure for time stepping in models of unsaturated flow
    • Milly, P. C. D.: 1985. A mass-conservative procedure for time stepping in models of unsaturated flow, Adv. Water Resour. 8, 32-36.
    • (1985) Adv. Water Resour. , vol.8 , pp. 32-36
    • Milly, P.C.D.1
  • 20
    • 0008121415 scopus 로고
    • Application of an extraction-term model to the study of moisture flow to plant roots
    • Moltz, F. J. and Remson, L.: 1971, Application of an extraction-term model to the study of moisture flow to plant roots, Agron. J. 63, 12-11.
    • (1971) Agron. J. , vol.63 , pp. 12-111
    • Moltz, F.J.1    Remson, L.2
  • 21
    • 0016961814 scopus 로고
    • A new model for predicting the hydraulic conductivity of unsaturated porous media
    • Mualem, Y.: 1976, A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour. Res. 12, 513-522.
    • (1976) Water Resour. Res. , vol.12 , pp. 513-522
    • Mualem, Y.1
  • 22
    • 0001476575 scopus 로고
    • A new approach to free vibration analysis using elements
    • C. A. Brebbia (ed.)
    • Nardini, D. and Brebbia, C. A.: 1982 A new approach to free vibration analysis using elements, in: C. A. Brebbia (ed.), Boundary Element Methods in Engineering.
    • (1982) Boundary Element Methods in Engineering
    • Nardini, D.1    Brebbia, C.A.2
  • 23
    • 0012367638 scopus 로고
    • Diffusion equation calculations of field soil water infiltration profiles
    • Nielsen, D. R., Kirkham, D. and van Wijk, W. R.: 1961, Diffusion equation calculations of field soil water infiltration profiles, Soil Sci. Soc. Am. Proc. 51, 165-168.
    • (1961) Soil Sci. Soc. Am. Proc. , vol.51 , pp. 165-168
    • Nielsen, D.R.1    Kirkham, D.2    Van Wijk, W.R.3
  • 24
    • 0028668982 scopus 로고
    • The effective permeability of a heterogeneous porous medium
    • Noetinger, B.: 1994, The effective permeability of a heterogeneous porous medium, Transport in Porous Media 15, 99-127.
    • (1994) Transport in Porous Media , vol.15 , pp. 99-127
    • Noetinger, B.1
  • 25
    • 0030383689 scopus 로고    scopus 로고
    • Green element description of mass transfer in reacting systems
    • Onyejekwe, O. O.: 1996a. Green element description of mass transfer in reacting systems, Num. Heat Transfer 30, 483-496.
    • (1996) Num. Heat Transfer , vol.30 , pp. 483-496
    • Onyejekwe, O.O.1
  • 26
    • 33646316698 scopus 로고    scopus 로고
    • A Green clement treatment of isothermal flow with second order reaction
    • Onyejekwe, O. O.: 1996b, A Green clement treatment of isothermal flow with second order reaction, Int. Comm. Heat Mass Transfer 19, 675-684.
    • (1996) Int. Comm. Heat Mass Transfer , vol.19 , pp. 675-684
    • Onyejekwe, O.O.1
  • 27
    • 0028666563 scopus 로고
    • Comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems
    • Paniconi, C. and Putti, M. A.: 1994, Comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems, Adv. Water Resour. Res. 30, 3357-3374.
    • (1994) Adv. Water Resour. Res. , vol.30 , pp. 3357-3374
    • Paniconi, C.1    Putti, M.A.2
  • 29
    • 0000526787 scopus 로고
    • The theory of infiltration: 1. The infiltration equation and its solution
    • Philip, J. R.: 1957, The theory of infiltration: 1. The infiltration equation and its solution, Soil Sci. 83, 435-448.
    • (1957) Soil Sci. , vol.83 , pp. 435-448
    • Philip, J.R.1
  • 30
    • 0001104679 scopus 로고
    • Theory of infiltration
    • Philip, J. R.: 1969, Theory of infiltration, Adv. Hydrosci. 5, 212-305.
    • (1969) Adv. Hydrosci. , vol.5 , pp. 212-305
    • Philip, J.R.1
  • 31
    • 0002626122 scopus 로고
    • A fortran subroutine for solving systems of nonlinear algebraic equations
    • Gordon & Breach, New York
    • Powell, M. J. D.: 1970, A fortran subroutine for solving systems of nonlinear algebraic equations, in: Numerical Methods for Nonlinear Algebraic Equations, Gordon & Breach, New York, pp. 115-161.
    • (1970) Numerical Methods for Nonlinear Algebraic Equations , pp. 115-161
    • Powell, M.J.D.1
  • 32
    • 0025691904 scopus 로고
    • The quasilinear approximation for unsaturated porous media flow
    • Pullan, A. J.: 1990, The quasilinear approximation for unsaturated porous media flow, Water Resour. Res. 26, 1219-1234.
    • (1990) Water Resour. Res. , vol.26 , pp. 1219-1234
    • Pullan, A.J.1
  • 33
    • 0028578603 scopus 로고
    • Mass conservative numerical solutions of head-based Richards equation
    • Rathfelder, K. and Abriola, L. M.: 1994, Mass conservative numerical solutions of head-based Richards equation, Water Resour. Res. 30, 2579-2586.
    • (1994) Water Resour. Res. , vol.30 , pp. 2579-2586
    • Rathfelder, K.1    Abriola, L.M.2
  • 34
    • 0000032542 scopus 로고
    • Soil water relations during rain infiltration: 1. Theory
    • Rubin, J. and Steinhardt, R.: 1963, Soil water relations during rain infiltration: 1. Theory, Soil Sci. Soc. Am. J. 27, 246-251.
    • (1963) Soil Sci. Soc. Am. J. , vol.27 , pp. 246-251
    • Rubin, J.1    Steinhardt, R.2
  • 35
    • 0029413021 scopus 로고
    • Calculation of internodal transmissivities in finite difference models of flow in heterogeneous porous media
    • Romeu, R. K. and Noetinger, B.: 1995, Calculation of internodal transmissivities in finite difference models of flow in heterogeneous porous media, Water Resour. Res. 31, 943-959.
    • (1995) Water Resour. Res. , vol.31 , pp. 943-959
    • Romeu, R.K.1    Noetinger, B.2
  • 37
    • 0029412895 scopus 로고
    • The Green element method
    • Taigbenu, A. E.: 1995, The Green element method, Int. J. Num. Meth. Eng. 38, 2241-2263.
    • (1995) Int. J. Num. Meth. Eng. , vol.38 , pp. 2241-2263
    • Taigbenu, A.E.1
  • 38
    • 0029395225 scopus 로고
    • Green element simulations of the transient nonlinear unsaturated flow equation
    • Taigbenu, A. E. and Onyejekwe, O. O.: 1995, Green element simulations of the transient nonlinear unsaturated flow equation, Appl. Math. Model. 19, 675-684.
    • (1995) Appl. Math. Model. , vol.19 , pp. 675-684
    • Taigbenu, A.E.1    Onyejekwe, O.O.2
  • 39
    • 0027697020 scopus 로고
    • Finite analytic numerical solutions for unsaturated flow with irregular boundaries
    • Tsai, W. F. Chen, C.-I. and Tien, H.-C.: 1993, Finite analytic numerical solutions for unsaturated flow with irregular boundaries, ASCE J. Hydr. Eng. 119, 1278-1298.
    • (1993) ASCE J. Hydr. Eng. , vol.119 , pp. 1278-1298
    • Tsai, W.F.1    Chen, C.-I.2    Tien, H.-C.3
  • 41
    • 0004210424 scopus 로고
    • Calculating the unsaturated hydraulic conductivity with a new closed form analytical model
    • Department of Civil engineering, Princeton University, Princeton, NJ
    • van Genuchlen, M. T.: 1978b, Calculating the unsaturated hydraulic conductivity with a new closed form analytical model, Research Report 78-WR-08, water resources program, Department of Civil engineering, Princeton University, Princeton, NJ.
    • (1978) Research Report 78-WR-08, Water Resources Program
    • Van Genuchlen, M.T.1
  • 43
    • 0001816457 scopus 로고
    • A comparison of numerical solutions of the one-dimensional unsaturated-saturated flow and mass transport equations
    • van Genuchten, M. T.: 1982, A comparison of numerical solutions of the one-dimensional unsaturated-saturated flow and mass transport equations, Adv. Water Resour., 47-55.
    • (1982) Adv. Water Resour. , pp. 47-55
    • Van Genuchten, M.T.1
  • 44
    • 0016994966 scopus 로고
    • Time-dependent linearized infiltration: III. Strip and Disc. Sources
    • Warrick, A. W. and Lomen, D. O.: 1976, Time-dependent linearized infiltration: III. Strip and Disc. Sources., Soil Sci. Soc. Am. J. 40, 639-643.
    • (1976) Soil Sci. Soc. Am. J. , vol.40 , pp. 639-643
    • Warrick, A.W.1    Lomen, D.O.2
  • 45
    • 2142719084 scopus 로고
    • Recent advances in solution methods for unsteady viscous flows
    • P. K. Banerjee, and L. Morino (eds)
    • Wu, J. C. and Wang, C. M.: 1990, Recent advances in solution methods for unsteady viscous flows, in: P. K. Banerjee, and L. Morino (eds), Boundary Element Methods in Nonlinear Fluid Dynamics, pp. 285-317.
    • (1990) Boundary Element Methods in Nonlinear Fluid Dynamics , pp. 285-317
    • Wu, J.C.1    Wang, C.M.2
  • 46
    • 0027059378 scopus 로고
    • Numerical solution of SUPG finite element method for unsaturated flow
    • T. F. Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray and G. F. Pindaer (eds)
    • Xie, C.-H. and Zhu, X.-Y.: 1992, Numerical solution of SUPG finite element method for unsaturated flow, in: T. F. Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray and G. F. Pindaer (eds), Comput. Meth. Water Resour. IX, 229-235.
    • (1992) Comput. Meth. Water Resour. , vol.9 , pp. 229-235
    • Xie, C.-H.1    Zhu, X.-Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.