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Numerical Solution of de St . Venant Equations with Controlled Global Boundaries Between Unsteady Subcritical States

This paper aims to verify numerical existence of boundary controls that steer the de St. Venant system in finite time, from a given unsteady subcritical state to another. The method of characteristics is used in obtaining the numerical solution. The problem is divided into two parts: first, an unsteady subcritical flow is steered towards a steady one; then such flow is steered towards another unsteady subcritical state.