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Study on Multi-Time Scale Hydrodynamic Model Based on Local Time Stepping Scheme and GPUs and its Application in Urban Inundation

Author

Listed:
  • Junhui Wang

    (Tianjin University)

  • Shaowu Li

    (Tianjin University)

  • Jingming Hou

    (Xiʼan University of Technology)

  • Ye Liu

    (Tianjin University)

  • Wenli Hu

    (Tianjin University)

  • Xueli Shi

    (Tianjin University)

  • Jiaohang Yao

    (Tianjin University)

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.

Suggested Citation

  • Junhui Wang & Shaowu Li & Jingming Hou & Ye Liu & Wenli Hu & Xueli Shi & Jiaohang Yao, 2024. "Study on Multi-Time Scale Hydrodynamic Model Based on Local Time Stepping Scheme and GPUs and its Application in Urban Inundation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 38(5), pages 1615-1637, March.
  • Handle: RePEc:spr:waterr:v:38:y:2024:i:5:d:10.1007_s11269-024-03742-x
    DOI: 10.1007/s11269-024-03742-x
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    References listed on IDEAS

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    1. Mohammad Taghi Sattari & Anca Avram & Halit Apaydin & Oliviu Matei, 2023. "Evaluation of Feature Selection Methods in Estimation of Precipitation Based on Deep Learning Artificial Neural Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(15), pages 5871-5891, December.
    2. Jingyi Gao & Osamu Murao & Xuanda Pei & Yitong Dong, 2022. "Identifying Evacuation Needs and Resources Based on Volunteered Geographic Information: A Case of the Rainstorm in July 2021, Zhengzhou, China," IJERPH, MDPI, vol. 19(23), pages 1-21, November.
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