Digital Simulation of Flows in Hawaiian Soils

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



Document Type: Proceeding Paper

Part of: Computer Applications in Water Resources

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. The nonlinear algebraic equations are solved simultaneously, at each time step, by a programmed logic of iterations. The second and third degrees of polynomial interpretations of moisture diffusivity, and hydraulic conductivity, of the media are also conducted. Solution of unsteady flow in Molokai soil on the island of Oahu, Hawaii is demonstrated.

Subject Headings: Groundwater flow | Porous media flow | Flow simulation | Water resources | Finite element method | Soil water | Pore water | Hawaii | United States

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