A comparison of explicit and implicit numerical methods for solving groundwater flow problems

Authors

  • I.A. Rastorguev

Keywords:

DUMKA
фильтрация
насыщенная-ненасыщенная зона
SIP
VSD
уравнения Ван Генухтена

Abstract

The following three tests of the DUMKA algorithm are presented in the paper: a comparison with the analytical solution of a model problem, a comparison of CPU-time cost with the VS2D program for a model of groundwater flow in a confined aquifer (the linear problem), and a comparison of CPU-time cost with the VS2D program for a nonlinear model of groundwater flow in an unconfined aquifer with consideration of an unsaturated zone (the nonlinear problem).

New computational technologies

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Published

2006-06-23

Issue

Vol. 7 (2006): Issue 2.

Section

Section 1. Numerical methods and applications

Author Biography

I.A. Rastorguev

National Research Center «Kurchatov Institute»

References

  1. Lapalla E.G, Healy R.W., and Weeks E.P. Documentation of computer program VS2D to solve the equations of fluid flow in variably saturated porous media. U.S. Geological Survey Water Resources Investigations Report 83-4099. 1987.
  2. Lebedev V.I. Explicit difference schemes for solving stiff problems with a complex or separable spectrum // Computational Mathematics and Mathematical Physics. 2000. 40, N 12. 1729-1740.
  3. Van Genuchten M. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils // Soil Sci. Soc. 1980. 44. 892-898.