Improving numerical modeling of two-dimensional water flow in variably saturated, heterogenous porous media

Soil Science Society of America Journal

Volumn 61, Issue 2, 1997, Pages 335-346

  Pan, Lehua ^a   Wierenga, Peter J ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFILTRATION; MATHEMATICAL MODELING; POROUS MEDIUM; SOIL;

INFILTRATION; RICHARDS EQUATION; SOIL HYDRAULIC PROPERTIES; SOIL WATER;

ALGORITHMS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; INFILTRATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; POROUS MATERIALS; PROBLEM SOLVING; RELAXATION PROCESSES; SOILS;

CELIA TRANSFORMATIONS; KIRKLAND TRANSFORMATIONS; RICHARD EQUATION; ROSS TRANSFORMATIONS;

GROUNDWATER FLOW;

EID: 0030613944     PISSN: 03615995     EISSN: None     Source Type: Journal    
DOI: 10.2136/sssaj1997.03615995006100020001x     Document Type: Article

References (20)

1. Baca, R.G., I.P. King, and W.R. Norton. 1978. Finite element models for simultaneous heat and moisture transport in unsaturated soils p. 1.19-1.35. In Proc. Int. Conf. Finite Elements in Water Resour. 2nd, London. July 1978. Pentech, London.
2. Bouloutas, E.T. 1989. Improved numerical methods for modeling flow and transport processes in partially saturated porous media. PhD. diss., Mass. Inst. of Technology, Cambridge.
3. Brutsaert, W. 1971. A functional iteration technique for solving the Richards equation applied to two-dimensional infiltration problems. Water Resour. Res. 7:1583-1596.
4. Celia, M.A., E.T. Bouloutas, and R.L. Zarba. 1990. A general mass-conservative numerical solution for the unsaturated flow equation. Water Resour. Res. 26:1483-1496.
5. Fletcher, C.A.J. 1991. Computational techniques for fluid dynamics. Vol. 1. 2nd ed. Springer-Verlag, New York.
6. Forsythe, G.E., M.A. Malcolm, and C.B. Moler. 1977. Computer methods for mathematical computations. Prentice-Hall, Englewood Cliffs, NJ.
7. Haverkamp, R., M. Vauclin, J. Touma, P.J. Wierenga, and G. Vachaud. 1977. A comparison of numerical simulation models for one-dimensional infiltration. Soil Sci. Soc. Am. J. 41:285-294.
8. Hills, R.G., I. Porro, D.B. Hudson, and P.J. Wierenga. 1989. Modeling one-dimensional infiltration into very dry soils: 1. Model development and evaluation. Water Resour. Res. 25:1259-1269.
9. Isaacson, E., and H.B. Keller. 1966. Analysis of numerical methods. John Wiley & Sons, New York.
10. Kershaw, D.S. 1978. The incomplete Cholesky conjugate gradient method for the iterative solution of systems of linear equations. J. Comput. Phys. 26:43-65.
11. Kirkland, M.R., R.G. Hills, and P.J. Wierenga. 1992. Algorithms for solving Richards' equation for variably saturated soils. Water Resour. Res. 28:2049-2058.
12. Pan, L., and P.J. Wierenga. 1995. A transformed pressure head based approach to solve Richards' equation for variably saturated soils. Water Resour. Res 31:925-931.
13. Paniconi, C., and M. Putti. 1994. A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems. Water Resour. Res. 30:3357-3374.
14. Patankar, S.V. 1980. Numerical heat transfer and fluid flow. McGraw-Hill, New York.
15. Ross, P.J. 1990. Efficient numerical methods for infiltration using Richards' equation. Water Resour. Res. 26:279-290.
16. Ross, P.J. 1992. Cubic approximation of hydraulic properties for simulations of unsaturated flow. Water Resour. Res. 28:2617-2620.
17. Ross, P.J., and K.L. Bristow. 1990. Simulating water movement in layered and gradational soils using the Kirchhof transform. Soil Sci. Soc. Am. J. 54:1519-1524.
18. van Genuchten, M.Th. 1980. A closed-form equation for predicting the hydraulic conductivity of unsaturated soil. Soil Sci. Soc. Am. J. 44:892-898.
19. Wang, L., D. Fang, M. Zhang, J. Lin, L. Gu, T. Zhong, X. Yang, D. Xie, Z. Luo, B. Xiao, H. Cai, and D. Lin. 1979. Handbook of mathematics. Higher Education Press, Beijing.
20. White, M.D., and W.E. Nichols. 1993. MSTS multiphase subsurface transport simulator theory manual. PNL-8636, UC-814. Pacific Northwest Lab., Richland, WA.