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<p>To address the low computational efficiency in solving complex one-dimensional water network models, this study proposes a water-level prediction correction method based on the Lattice Boltzmann Method (LBM), called WLPC-LBM. This method establishes a numerical method for analyzing unsteady, gradually varied flow in one-dimensional water networks, effectively handling the coupling boundary condition between river segments. Firstly, the LBM is utilized to handle the Saint–Venant equations (SVE). LBM only requires iteratively updating the distribution function to solve the linear system, thereby avoiding the complex solution process for nonlinear partial differential equations. Secondly, the one-dimensional water network hydrodynamic model is solved explicitly using the water-level prediction-correction method at the mesoscopic level, without segment numbering and using a global connection matrix. The WLPC-LBM is validated by two hypothetical water networks and a real-world case of the Yingna River. The study found that WLPC-LBM significantly improves the computational accuracy and efficiency of hydrodynamic simulations, demonstrating strong potential for practical applications.</p>

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WLPC-LBM: a Mesoscopic Model for Efficient One-Dimensional Unsteady River Flow Simulation

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • Dehao Zou,
  • Jian Wu,
  • Yong Peng,
  • Jiaxuan Li

摘要

To address the low computational efficiency in solving complex one-dimensional water network models, this study proposes a water-level prediction correction method based on the Lattice Boltzmann Method (LBM), called WLPC-LBM. This method establishes a numerical method for analyzing unsteady, gradually varied flow in one-dimensional water networks, effectively handling the coupling boundary condition between river segments. Firstly, the LBM is utilized to handle the Saint–Venant equations (SVE). LBM only requires iteratively updating the distribution function to solve the linear system, thereby avoiding the complex solution process for nonlinear partial differential equations. Secondly, the one-dimensional water network hydrodynamic model is solved explicitly using the water-level prediction-correction method at the mesoscopic level, without segment numbering and using a global connection matrix. The WLPC-LBM is validated by two hypothetical water networks and a real-world case of the Yingna River. The study found that WLPC-LBM significantly improves the computational accuracy and efficiency of hydrodynamic simulations, demonstrating strong potential for practical applications.