Computational HydraulicsComputational Hydraulics introduces the concept of modeling and the contribution of numerical methods and numerical analysis to modeling. It provides a concise and comprehensive description of the basic hydraulic principles, and the problems addressed by these principles in the aquatic environment. Flow equations, numerical and analytical solutions are included. The necessary steps for building and applying numerical methods in hydraulics comprise the core of the book and this is followed by a report of different example applications of computational hydraulics: river training effects on flood propagation, water quality modelling of lakes and coastal applications. The theory and exercises included in the book promote learning of concepts within academic environments. Sample codes are made available online for purchasers of the book. Computational Hydraulics is intended for under-graduate and graduate students, researchers, members of governmental and non-governmental agencies and professionals involved in management of the water related problems. Author: Ioana Popescu, Hydroinformatics group, UNESCO-IHE Institute for Water Education, Delft , The Netherlands. |
Contents
Modelling theory | 1 |
Modelling water related problems | 11 |
Discretization of the fluid flow domain | 33 |
Finite difference method | 43 |
Finite volume method | 77 |
Properties of numerical methods | 95 |
River system modelling and floodpropagation | 125 |
Water quality modelling | 147 |
161 | |
167 | |
Common terms and phrases
advection equation analysis analytical solution applied approach boundary conditions channel Chapter coefficients computational cell computational domain Computational Hydraulics conservation considered control volume convergence defined depends derivatives determined differential equation diffusion equation dimensional discretization grid downstream equally spaced grid example explicit expression Figure finite difference method finite volume method flood fluxes Fourier grid point hence hydrodynamic hyperbolic implicit scheme independent variables initial conditions integration interpolation kinematic wave known value linear advection equation mathematical model momentum equation Navier-Stokes equations numerical approximation numerical diffusion numerical methods numerical scheme numerical solution obtained parabolic parameters PDEs phenomena pollutant Preissmann scheme problems representation represented Saint-Venant equations simulation solved stability step structured grids system of equations Taihu Lake Taylor series term truncation error unknown function unknown variable upstream velocity water body water depth water level water quality model wetland zero