Vol.29 No.3(4) [2007]

Pattern Formation of River Landscape

Ayumi SAEKI and Makoto OKAMURA


Landscape evolution involves many complex processes related to the fluid motion, granular materials, vegetation and so on. Furthermore, its dynamics covers a wide range of length and time scales. Therefore, almost all models tend to rely on empirical formulas. We now propose a more principled model using shallow water equations combined with mass conservation of sediment. In our simulations, we show that a sheet flow forms the stripe pattern called a gully, not the channel network, and that a channel without banks builds the banks on both sides.