Ground-Water Flow Computations by Method of Lines

by Antonis D. Koussis, (A.M.ASCE), Asst. Prof.; Hydr. Lab., Dept. of Civ. Engrg., Univ. of Florida, Gainesville, Fla.,
Richard W. Watson, (A.M.ASCE), Lead Environmental Engr.; Stone and Webster Engineering Corp., Branch Office, Cherry Hill, N.J.,

Serial Information: Journal of the Irrigation and Drainage Division, 1980, Vol. 106, Issue 1, Pg. 1-8

Document Type: Journal Paper


The Method of Lines has been applied successfully to the solution of the Boussinesq equation governing unconfined, saturated, transient ground-water flow. The time discrete-space continuous approach was chosen, and the PDE was converted to a set of ODE in space. The resulting set of two-point boundary value problems, one for each time level, was solved numerically by a shooting technique in connection with inverse interpolation. The method was found to be versatile, efficient, and easy to program. In two examples involving different boundary conditions, the numerical integration has been carried out utilizing a Runge-Kutta scheme on a computer and a simpler, second-order finite difference on a programmable hand-held calculator.

Subject Headings: Transient flow | Groundwater flow | Boussinesq equations | Boundary conditions | Computing in civil engineering | Finite difference method

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