The Transformation of Two-Dimensional Shallow Water Equations under Orthogonal Curvilinear Coordinates
L Zhang · Journal of Jiamusi University · 2009
In the research of plane two-dimensional unsteady open channel flow,the boundary-fitted coordinate technology is often used to establish two-dimensional orthogonal curvilinear coordinates.In this way,it is comparatively difficult to deduce the two-dimensional shallow water equations after the change of coordinates.This paper proposed a method of tensor analysis which is simple to present a form of two-dimensional shallow water equations,which have been widely used in the calculation of open channel flow,under orthogonal curvilinear coordinates.