COMPUTATION OF SHALLOW WATER EQUATION WITH HIERARCHICAL QUADTREE GRID SYSTEM

Abstract

Numerical computation of river flows have been employed the general coordinate system to adjust a river plane form. An adjustment flexibility of the coordinate system is better but it is difficult to generate a grid system in order to compute stably because grid system is not determined uniquely. This study develops a new boundary fitting method introducing the hierarchical quad-tree grid system in computation of shallow water equation. The numerical model with the quad-tree grid system apply to compute flow pattern in meandering channel, the result agree with experiments result well.