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An Arbitrary Lagrangian-Eulerian finite difference method for computations of free surface flows

Author(s): Ming-Hsi Hsu; Chun-Hung Chen; Wei-Hsien Teng

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Keywords: finite-difference scheme; free surface flow; solitary wave; dam break; moving grids; boundary-fitted coordinate; ALE description

Abstract: A numerical model based on a finite-difference scheme is presented for simulation of two-dimensional transient flow in open channels. The Arbitrary Lagrangian-Eulerian (ALE) kinematic description, and the techniques of moving grids and boundary-fitted coordinate system are adopted for the computation of free surface flows. An iterative flow field solver using an algorithm of velocity divergence with an adjusted pressure is employed to ensure mass conservation. The proposed model is demonstrated on three well-known problems, which include wave propagation caused by dam-break, viscous damping of a solitary wave, and reflection of a wave running against a vertical wall. The simulated results show good agreement with available experimental data or theoretical solutions.

DOI: https://doi.org/10.1080/00221686.2001.9628273

Year: 2001

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