Implicit Numerical Modeling of Unsteady Flows

Abstract

A numerical model based on the equations of unsteady flow in open channels is used to compute unsteady flows in rivers and reservoirs. The cross sections of the waterways range from uniform to highly irregular, the type of flow ranges from slowly varied to abrupt changes in discharge, and nearly all combinations of boundary conditions are encountered. The model uses an implicit finite difference method. The versatility, accuracy, stability, and efficiency of the method is demonstrated by field measurements.