Popescu, Ioana Popescu's Computational Hydraulics: Numerical Methods and Modelling PDF

By Popescu, Ioana Popescu

ISBN-10: 1780400446

ISBN-13: 9781780400440

Computational Hydraulics introduces the idea that of modeling and the contribution of numerical tools and numerical research to modeling. It offers a concise and entire description of the fundamental hydraulic ideas, and the issues addressed by way of those rules within the aquatic atmosphere. circulation equations, analytical and numerical ideas are incorporated. the mandatory steps for construction and utilising numerical equipment in hydraulics include the middle of the booklet and this can be by way of diverse instance functions of computational hydraulics: river platforms and water caliber modelling of lakes and rivers. the idea and workouts integrated within the publication advertise studying of techniques inside of educational environments. Computational Hydraulics is meant for under-graduate and graduate scholars, researchers, contributors of governmental and non-governmental organisations and pros eager about administration of the water similar difficulties.

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Solution approaches for these three cases are detailed below. 1 Kinematic wave solution In the case of a kinematic wave approximation, the acceleration and pressure terms in the momentum equation are neglected. Kinematic wave approximation has no terms varying in time, the terms in the momentum equation represent the steady uniform flow. However the flow itself is not steady, because the unsteadiness is taken into account by the continuity equation. 39) has an analytical solution. , 1988). 43) is the kinematic wave equation and is a linear advection equation if c is a constant.

Several methods of solution are available in the literature for the diffusive wave approximation such as Muskingum-Cunge method (Cunge, 1969), the Zero-Inertial solution (Strelkoff & Katopodes, 1977) or Parabolic and Backwater (Todini & Bossi, 1986). 3 Fully dynamic wave solution In the case that inertial forces are as important as the pressure forces the fully dynamic expression of the momentum equation is used for the solution of Saint-Venant equations. 39). Popescu (2013) makes an overview of the different numerical techniques available for solving the SaintVenant equations.

2 Saint-Venant equations The flow of water can be in a closed or open space. These two types of flow differ in the fact that in the open space water flows with a free surface, while in the closed space is a pressurised flow. The flow in a closed space is flow in conduits (pipes) and can be in some instances with free surface, however they can be considered the same as the flow in an open space. The free surface flow is the flow occurring in oceans, estuaries, coastal regions, lakes and impoundments.

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Computational Hydraulics: Numerical Methods and Modelling by Popescu, Ioana Popescu

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