A shock-capturing scheme is developed for the shallow water equations governing steady, supercritical flow in two dimensions in channels with a curvilinear coordinate geometry. The scheme incorporates a special averaging procedure of the flow variables as well as details of the transformation that maps a nonrectangular physical domain for a general channel transition. © 1995.
Glaister, P. (1995). Shock capturing for supercritical, free-surface flows in curvilinear channel geometries. Computers and Mathematics with Applications, 29(1), 27–37. https://doi.org/10.1016/0898-1221(94)00204-X