A consistent finite difference local inertial model for shallow water simulation

• Tanaka Tomohiro

  Graduate School of Global Environmental Studies, Kyoto University, Japan

• Yoshioka Hidekazu

  Graduate School of Natural Science and Technology, Shimane University, Japan

• Siev Sokly

  Department of Global Engineering for Development, Environment and Society, Tokyo Institute of Technology, Japan Faculty of Agriculture, Yamagata University, Japan

• Fujii Hideto

  Faculty of Agriculture, Yamagata University, Japan

• Ly Sarann

  Faculty of Hydrology and Water Resources Engineering, Institute of Technology of Cambodia, Cambodia

• Yoshimura Chihiro

  Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan

抄録

Hydrological-hydraulic modeling is a core technique in assessing surface water dynamics of rivers, lakes, and floodplains. The local inertial model (LIM) as a physically simplified model of the shallow water equations is essential for efficient numerical simulator of surface water dynamics. In this paper, we point out that the conventional semi-implicit finite difference scheme for the friction slope terms, despite being convenient, is not consistent in the sense that it may lead to incorrect numerical solutions if the temporal resolution is not high. We propose an alternative discretization to resolve this issue, which is more accurate and stable, and has comparable computational efficiency. The new numerical scheme is implemented into a modern hydrological-hydraulic model, demonstrating reasonable accuracy. The new scheme is also compared with a recently-proposed implicit scheme, demonstrating comparable theoretical and computational performances. The results indicate that the proposed scheme potentially serves as a new central core for numerical simulation with the LIM.

収録刊行物

• Hydrological Research Letters

  Hydrological Research Letters 13 (2), 28-33, 2019

  水文・水資源学会／日本地下水学会／日本水文科学会／陸水物理研究会

キーワード

• Earth and Planetary Sciences (miscellaneous)
• Water Science and Technology

詳細情報

• CRID: 1390282763118350848
• NII論文ID: 130007655447
• DOI: 10.3178/hrl.13.28
• ISSN: 18823416
• Web Site: https://www.jstage.jst.go.jp/article/hrl/13/2/13_28/_pdf
• 本文言語コード: ja
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