A 2D SWE meshless model with fictitious water level at dry nodes

In this study, a two-dimensional shallow-water-equation numerical model is developed for simulating free surface water flows with internal moving wet/dry front boundaries. It is based on the Eulerian aspect and meshless approach. The predictor-corrector process is used for the time marching. The spa...

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Bibliographic Details
Published in:Journal of hydraulic research 2021-11, Vol.59 (6), p.917-931
Main Authors: Hsu, Tai-Wen, Liang, Shin-Jye, Wu, Nan-Jing
Format: Article
Language:English
Subjects:
Approximation
Computation
Dam failure
Fictitious water level
Free surfaces
local polynomial approximation
Mathematical analysis
Mathematical models
meshless
Meshless methods
Nodes
Numerical models
Polynomials
Predictor-corrector methods
Shallow water
shallow water equations
Surface water
Time marching
Two dimensional models
Water flow
Water levels
weighted-least-squares
wet/dry fronts
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Summary:In this study, a two-dimensional shallow-water-equation numerical model is developed for simulating free surface water flows with internal moving wet/dry front boundaries. It is based on the Eulerian aspect and meshless approach. The predictor-corrector process is used for the time marching. The spatial derivatives of physical quantities are computed using the local polynomial approximation with the weighted-least-squares approach. A formula for specifying the fictitious water level, which does not exist physically, at dry nodes is proposed. This is the main novelty of the present study and it significantly reduces computation time compared with the authors' previous work. Four dam break test cases are employed to validate the capability of the present model.
ISSN:0022-1686
1814-2079
DOI:10.1080/00221686.2020.1866691