Computer Modeling of Groundwater Flow

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by Edmond D. H. Cheng, Univ of Hawaii at Manoa, Dep of, Civil Engineering, Honolulu, HI, USA,

Document Type: Proceeding Paper

Part of: Hydraulics and Hydrology in the Small Computer Age:

Abstract: In attempting to numerically solve the nonlinear equation for flows in porous media, the Galerkin process, which bears a great similarity to direct methods of the calculus of variations, is being investigated. In the finite element formulation of the groundwater flow equation, systems of nonlinear algebraic equations are developed on the basis of linear two-dimensional triangular elements. These nonlinear algebraic equations are solved simultaneously, at each time step, by a programmed logic of iterations. The third degrees of polynomial interpretations of moisture diffusivity, of the media are also conducted.

Subject Headings: Groundwater flow | Fluid flow | Numerical analysis | Nonlinear analysis | Porous media flow | Two-dimensional flow | Nonlinear response | Polynomials |

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