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

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.