Closure to 'Analysis of Dynamic Wave Model for Unsteady Flow in an Open Channel' by Maurizio Venutelli

摘要

The writer would like to thank the discussers for their interest in the original paper and for the opportunity to further clarify some aspects raised in the discussion. The dynamic wave model examined in the original paper is based on the well-known continuity and momentum partial differential Saint-Venant, or shallow water (SW) equations. For these, Eqs. (1) and (2) of the original paper, as well as basic assumptions, such as the fluid is a continuum, is incompressible, and is Newtonian, are automatically and tacitly included. More specific assumptions incorporated in the classic shallow water theory are recalled in the Technical Note. Therefore, fluids that possess non-Newtonian rheological properties, such as in the "References" of the discussion, are not represented by the set of SW equations.