著者

Tomohoiro Tanaka Hidekazu Yoshioka

出版者

Japan Society for Simulation Technology

雑誌

日本シミュレーション学会英文誌 (ISSN:21885303)

巻号頁・発行日

vol.4, no.2, pp.162-175, 2017 (Released:2018-06-30)

参考文献数

21

被引用文献数

1 3

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The local inertial equation (LIE) as a simple mathematical model has been widely used for flood simulation. So far, the maximum allowable time step of the discretized LIE with the conventional semi-implicit scheme has been believed to follow the standard Courant-Friedrichs-Lewy condition. However, we demonstrate that this is not true from the viewpoint of a numerical stability analysis considering the model non-linearity. In addition, a fully-implicit variant of the scheme with higher stability is presented, indicating its practical advantages.