Journal of Natural Disaster Science

MATHEMATICAL SIMULATIONS OF CHANNEL AND OVERLAND FLOOD FLOWS IN VIEW OF FLOOD DISASTER ENGINEERING

Yoshiaki IWASA
Professor, Department of Civil Engineering, Kyoto University, Kyoto
and
Kazuya INOUE
Associate Professor, Department of Civil Engineering, Kyoto University, Kyoto

(Received 21 December, 1981 and in revised form 16 January, 1982)

Abstract

The mathematical simulation of flood flows occurred in river channels and overlands is reported. The methodological procedure of simulation consists of a set of two flow systems, the first of which is the one-dimensional flood flow in river channels, making use of the de Saint Venant equation and the second the two-dimensional flood flow in overlands, using east- and north-ward equations of linear momentum simultaneously. A variety of flood flow problems gives three kinds of mathematical simulations: One-dimensional flow, two-dimensional flow and a combination of one- and two-dimensional flows. Three case studies show hydraulic characteristics of flood flow invasions in the flood-prone areas. The methodological procedure developed in this paper will provide a basic contribution to flood disaster engineering.

Key words

flood flow routing, mathematical simulation, overland flow, two-dimensional plane flow