Numerical techniques are popular in solving groundwater flow problems. The basic concepts of the methods for solving problems are briefly discussed at the beginning of this chapter. The finite-element and finite-difference methods are featured because of their wide application in this field. Discretization and formulation techniques in these two methods are well illustrated in problems such as one-dimensional flow, saturated/unsaturated conditions, and steady/unsteady flows. Because the finite element method is preferred to the finite difference technique in making choices of flexible finite element geometry, the former is discussed in more detail.
KeywordsGroundwater Flow Interpolation Function Gauss Point Flow Domain Finite Difference Approximation
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- Bear J (1979) Hydraulics of groundwater. McGraw-Hill, New York, pp 125–128Google Scholar
- Connor JJ, Brebbia CA (1976) Finite element techniques for fluid flow. Butterworth, LondonGoogle Scholar
- Neuman SP (1973) Saturated-unsaturated seepage by finite elements. Proc ASCE, J Hydraul Div 99(12): 2233–2250Google Scholar
- Pinder GF, Gray WG (1977) Finite element simulation in surface and subsurface hydrology. Academic Press, New YorkGoogle Scholar
- Zienkiewicz OC, Taylor RL 2000a The finite element method, 5th edn, vol 1. Butterworth-Heinemann, OxfordGoogle Scholar
- Zienkiewicz OC, Taylor RL 2000b The finite element method, 5th edn, vol 3. Butterworth-Heinemann, OxfordGoogle Scholar