Abstract
In view of the frequent occurrence of urban inundation, this paper establishes a multi-time scale non-uniform grid model that integrates a non-uniform grid division approach, local time stepping scheme and Graphics Processing Unit (GPU) parallel technology to improve computational efficiency. The Harten-Lax-vanLeer-Contact (HLLC) approximate Riemann solution is adopted to estimate interface fluxes, the Monotonie Upwind Scheme for Conservation Laws (MUSUL) and Runge–Kutta methods are adopted to achieve second-order accuracy in time and space. Each grid uses the time step allowed locally to update variables. The results show that the proposed model has certain accuracy and greatly improves the calculation efficiency. When the threshold for grid density is 30%-45% of the average topographic gradient change, the accuracy and the efficiency are optimized in simulation of urban inundation. At this time, the average error of inundation area is about 6.05%, and the simulated speed of the proposed model is about 4.52 times that of the traditional uniform grid model. Therefore, the proposed model has a certain promotion value in large-scale shallow water flow simulations.
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Funding
This work is supported by the Natural Science Foundation of Tianjin (No. 22JCQNJC00660) and the National Natural Science Foundation of China (Grant No. 52201333).
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Conceptualization and Methodology: S. Li, J. Wang, J. Hou; Writing-original draft preparation: J. Wang; Material preparation, collection and analysis: Y. Liu, W. Hu; Supervision: X. Shi, J. Yao; Funding acquisition: S. Li.
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Wang, J., Li, S., Hou, J. et al. Study on Multi-Time Scale Hydrodynamic Model Based on Local Time Stepping Scheme and GPUs and its Application in Urban Inundation. Water Resour Manage 38, 1615–1637 (2024). https://doi.org/10.1007/s11269-024-03742-x
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DOI: https://doi.org/10.1007/s11269-024-03742-x