A Semianalytical Method for Solving Unsteady Flow Equationsby Yun-Sheng Yu, Univ of Kansas, Lawrence, KS, USA,
Manoutchehr Heidari, Univ of Kansas, Lawrence, KS, USA,
Wang Guang-Te, Univ of Kansas, Lawrence, KS, USA,
Abstract: This paper proposes a method that uses conjunctively the Laplace transform for continuous time and finite element for spatial discretization to solve unsteady flow equations. Laplace transforms of the governing equations and the initial and boundary conditions are performed before spatial discretization. The Laplace transform solution is obtained explicitly in complex frequency domain at each node of the study region. The inversion of the Laplace transform solution is then carried out to obtain the solution continuous in time. The method is illustrated by a numerical example for contaminant transport in one-dimensional ground water flow.
Subject Headings: Groundwater flow | Finite element method | Laplace transform | One-dimensional flow | Water flow | Unsteady flow | Water supply systems
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