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Volumn 53, Issue 7, 2007, Pages 1173-1193

Assessment of adaptive and heuristic time stepping for variably saturated flow

Author keywords

Adaptive time stepping; Nonlinear processes; Numerical modelling; Richards' equation; Subsurface hydrology; Time truncation error; Unsaturated zone

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; HEURISTIC METHODS; ITERATIVE METHODS; MATHEMATICAL MODELS;

EID: 33847011262     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1369     Document Type: Article
Times cited : (30)

References (18)
  • 1
    • 0002780733 scopus 로고
    • On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions
    • Pineridge Press, Ltd.: Swansea, U.K
    • Gresho PM, Lee RL, Sani RL. On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions. Recent Advances in Numerical Methods in Fluids. Pineridge Press, Ltd.: Swansea, U.K., 1980; 27-80.
    • (1980) Recent Advances in Numerical Methods in Fluids , pp. 27-80
    • Gresho, P.M.1    Lee, R.L.2    Sani, R.L.3
  • 2
    • 0031079742 scopus 로고    scopus 로고
    • Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines
    • Tocci MD, Kelley C, Miller CT. Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines. Advances in Water Resources 1997; 20(1):1-14.
    • (1997) Advances in Water Resources , vol.20 , Issue.1 , pp. 1-14
    • Tocci, M.D.1    Kelley, C.2    Miller, C.T.3
  • 3
    • 0033387134 scopus 로고    scopus 로고
    • On the primary variable switching technique for simulating unsaturated-saturated flows
    • Diersch H-J, Perrochet P. On the primary variable switching technique for simulating unsaturated-saturated flows. Advances in Water Resources 1999; 23(3):271-301.
    • (1999) Advances in Water Resources , vol.23 , Issue.3 , pp. 271-301
    • Diersch, H.-J.1    Perrochet, P.2
  • 4
    • 0035366337 scopus 로고    scopus 로고
    • Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards equation
    • Kavetski D, Binning P, Sloan SW. Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards equation. Advances in Water Resources 2001; 24(6):595-605.
    • (2001) Advances in Water Resources , vol.24 , Issue.6 , pp. 595-605
    • Kavetski, D.1    Binning, P.2    Sloan, S.W.3
  • 5
    • 0037186324 scopus 로고    scopus 로고
    • Adaptive backward euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow
    • Kavetski D, Binning P, Sloan SW. Adaptive backward euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow. International Journal for Numerical Methods in Engineering 2002; 53(6):1301-1322.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , Issue.6 , pp. 1301-1322
    • Kavetski, D.1    Binning, P.2    Sloan, S.W.3
  • 6
    • 0028666563 scopus 로고
    • A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems
    • Paniconi C, Putti M. A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems. Water Resources Research 1994; 30(12):3357-3374.
    • (1994) Water Resources Research , vol.30 , Issue.12 , pp. 3357-3374
    • Paniconi, C.1    Putti, M.2
  • 8
    • 0000581584 scopus 로고
    • A finite difference method for unsteady flow in variably saturated porous media: Application to a single pumping well
    • Cooley RL. A finite difference method for unsteady flow in variably saturated porous media: application to a single pumping well. Water Resources Research 1971; 7(6):1607-1625.
    • (1971) Water Resources Research , vol.7 , Issue.6 , pp. 1607-1625
    • Cooley, R.L.1
  • 9
    • 0021640749 scopus 로고
    • Techniques for making finite elements competitive in modeling flow in variably saturated porous media
    • Huyakorn PS, Thomas SD, Thompson BM. Techniques for making finite elements competitive in modeling flow in variably saturated porous media. Water Resources Research 1984; 20(8):1099-1115.
    • (1984) Water Resources Research , vol.20 , Issue.8 , pp. 1099-1115
    • Huyakorn, P.S.1    Thomas, S.D.2    Thompson, B.M.3
  • 10
    • 0036822365 scopus 로고    scopus 로고
    • Noniterative time stepping schemes with adaptive truncation error control for the solution of Richards equation
    • doi:10.1029/2001WR000720
    • Kavetski D, Binning P, Sloan SW. Noniterative time stepping schemes with adaptive truncation error control for the solution of Richards equation. Water Resources Research 2002; 38(10):1211, doi:10.1029/2001WR000720.
    • (2002) Water Resources Research , vol.38 , Issue.10 , pp. 1211
    • Kavetski, D.1    Binning, P.2    Sloan, S.W.3
  • 11
    • 0028578603 scopus 로고
    • Mass conservative numerical solutions of the head-based Richards equation
    • Rathfelder K, Abriola LM. Mass conservative numerical solutions of the head-based Richards equation. Water Resources Research 1994; 30(9):2579-2586.
    • (1994) Water Resources Research , vol.30 , Issue.9 , pp. 2579-2586
    • Rathfelder, K.1    Abriola, L.M.2
  • 12
    • 0022169286 scopus 로고
    • On describing and predicting the hydraulic properties of unsaturated soils
    • van Genuchten MT, Nielsen DR. On describing and predicting the hydraulic properties of unsaturated soils. Annales Geophysicae 1985; 3(5):615-628.
    • (1985) Annales Geophysicae , vol.3 , Issue.5 , pp. 615-628
    • van Genuchten, M.T.1    Nielsen, D.R.2
  • 13
    • 0026282291 scopus 로고
    • Numerical evaluation of iterative and noniterative methods for the solution of the nonlinear Richards equation
    • Paniconi C, Aldama AA, Wood EF. Numerical evaluation of iterative and noniterative methods for the solution of the nonlinear Richards equation. Water Resources Research 1991; 27(6):1147-1163.
    • (1991) Water Resources Research , vol.27 , Issue.6 , pp. 1147-1163
    • Paniconi, C.1    Aldama, A.A.2    Wood, E.F.3
  • 14
  • 15
    • 0034480368 scopus 로고    scopus 로고
    • Effect of the shape of the soil hydraulic functions near saturation on variably-saturated flow predictions
    • Vogel T, van Genuchten M, Cislerova M. Effect of the shape of the soil hydraulic functions near saturation on variably-saturated flow predictions. Advances in Water Resources 2001; 24(2):133-144.
    • (2001) Advances in Water Resources , vol.24 , Issue.2 , pp. 133-144
    • Vogel, T.1    van Genuchten, M.2    Cislerova, M.3
  • 16
    • 0033597588 scopus 로고    scopus 로고
    • An evaluation of temporally adaptive transformation approaches for solving Richards' equation
    • Williams GA, Miller CT. An evaluation of temporally adaptive transformation approaches for solving Richards' equation. Advances in Water Resources 1999; 22(8):831-840.
    • (1999) Advances in Water Resources , vol.22 , Issue.8 , pp. 831-840
    • Williams, G.A.1    Miller, C.T.2
  • 17
    • 0030621839 scopus 로고    scopus 로고
    • Control strategies for the iterative solution of nonlinear equations in ODE solvers
    • Gustafsson K, Söderlind G. Control strategies for the iterative solution of nonlinear equations in ODE solvers. SIAM Journal on Scientific Computing 1997; 18(1):23-39.
    • (1997) SIAM Journal on Scientific Computing , vol.18 , Issue.1 , pp. 23-39
    • Gustafsson, K.1    Söderlind, G.2
  • 18
    • 0025585761 scopus 로고
    • A general mass-conservative numerical solution for the unsaturated flow equation
    • Celia MA, Bouloutas ET, Zarba RL. A general mass-conservative numerical solution for the unsaturated flow equation. Water Resources Research 1990; 26(7):1483-1493.
    • (1990) Water Resources Research , vol.26 , Issue.7 , pp. 1483-1493
    • Celia, M.A.1    Bouloutas, E.T.2    Zarba, R.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.