Method of Characteristics in Open Channel Hydraulics. (1) Presentation скачать в хорошем качестве

Method of Characteristics in Open Channel Hydraulics. (1) Presentation

In an unsteady open channel flow, the velocity and water depth change with time and position. The Saint-Venant equations (SVE) are a system of two equations to solve one-dimensional unsteady open channel flow, e.g. for flood modelling. One equation is the continuity equation, or conservation of mass, and the other is the dynamic equation or conservation of momentum. The method of characteristics is a technique for solving the differential form of the Saint-Venant equations, analytically, graphically and numerically. The system of four equations of the characteristic system of equations is EQUIVALENT to the differential form of the Saint-Venant equations (Chanson 2004a, pp. 301-310). The Saint-Venant equations and the characteristic system of equations are essential concepts for the numerical modelling of unsteady open channel flows and its practical applications, e.g. flood modelling. These are discussed in the relevant Youtube video movies in the same Playlist at: {   / @hubert_chanson  } Fluid mechanics ad hydraulics in Hubert Chanson Youtube channel {   / @hubert_chanson  } Advanced hydraulics of open channel flows [Playlist] Fundamentals of open channel hydraulics [Playlist] Environmental hydraulics of open channel flows [Playlist] Saint-Venant equations. (1) Presentation {   • Saint-Venant equations. (1) Presentation  } Saint-Venant equations. (2) Basic equations {   • Saint-Venant equations. (2) Basic equations  } Saint-Venant equations. (3) The continuity equation {   • Saint-Venant equations. (3) The continuity...  } Saint-Venant equations. (4) The dynamic equation {   • Saint-Venant equations. (4) The dynamic eq...  } Saint-Venant equations. (5) Simplification of the dynamic equation {   • Saint-Venant equations. (5) Simplification...  } Celerity of small wave and its propagation in open channel {   • Celerity of small wave and its propagation...  } Flow resistance in open channels (1) Basic considerations {   • Flow resistance in open channels (1) Basic...  } Acknowledgements Dr Jean CUNGE Professor Colin APELT References BARRÉ de SAINT-VENANT, A.J.C. (1871). "Théorie et Equations Générales du Mouvement Non Permanent des Eaux Courantes." Comptes Rendus des séances de l'Académie des Sciences, Paris, France, Séance 17 July 1871, Vol. 73, pp. 147-154. STOKER, J.J. (1957). "Water Waves. The mathematical Theory with Applications." Interscience Publishers, New York, USA, 567 pages. LIGGETT, J.A. (1994). "Fluid Mechanics." McGraw-Hill, New York, USA. CHANSON, H. (2004a). "The Hydraulics of Open Channel Flow: An Introduction." Butterworth-Heinemann, 2nd edition, Oxford, UK, 630 pages (ISBN 978 0 7506 5978 9). CHANSON, H. (2004b). "Environmental Hydraulics of Open Channel Flows." Elsevier-Butterworth-Heinemann, Oxford, UK, 483 pages (ISBN 978 0 7506 6165 2).