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An Integral 1-D Eulerian–Lagrangian Method and Its Application to a Hydrodynamic River Network

by Shuai Yuan 1,2, Jianzhong Zhou 1,2,*, Dechao Hu 1,2 and Sipeng Zhu 1,2
1
School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
2
Hubei Key Laboratory of Digital Valley Science and Technology, Wuhan 430074, China
*
Author to whom correspondence should be addressed.
Water 2020, 12(2), 542; https://doi.org/10.3390/w12020542
Received: 6 January 2020 / Revised: 11 February 2020 / Accepted: 12 February 2020 / Published: 15 February 2020
(This article belongs to the Section Hydraulics and Hydrodynamics)
It is difficult for a one-dimensional river network hydrodynamic model to manage bifurcations. Traditional methods use simplified junction methods to avoid solving physical equations at bifurcations, which can cause physical distortions and errors. In this article, we propose an algorithm that allows a Eulerian–Lagrangian method (ELM) to track through bifurcations then solve advective terms, in combination with velocity–pressure couplings, to solve physical equations at bifurcations. The new method discards the simplifications and assumptions used by traditional models and is more complete in theory. We tested the new method with two ideal examples, and the results showed that the new method is time-step independent and grid independent. A simple bifurcation was used to compare this method with MIKE11. View Full-Text
Keywords: hydrodynamics; river network; bifurcation; ELM hydrodynamics; river network; bifurcation; ELM
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Yuan, S.; Zhou, J.; Hu, D.; Zhu, S. An Integral 1-D Eulerian–Lagrangian Method and Its Application to a Hydrodynamic River Network. Water 2020, 12, 542.

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