Titlebook: Numerical Modeling in Open Channel Hydraulics; Romuald Szymkiewicz Book 2010 Springer Science+Business Media B.V. 2010 Fundament.Hydraulic

Etymology

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Methods for Solving Algebraic Equations and Their Systems,near algebraic equations the bisection, false position, Newton, fixed point iteration and some hybrid methods are described. Application of these methods is shown for typical open channel problems, like computation of the normal depth, critical depths or the depth of water over sharp-crested weir. N

易怒

Numerical Solution of Ordinary Differential Equations,umerical methods as well as a general approach for approximating formulas is described. The basic numerical methods applicable for open channel flow (i.e. for non-uniform grid) are developed. The problem of accuracy and stability including A-stability is discussed. Time integration of the systems of

Aviary

Steady Gradually Varied Flow in Open Channels,prismatic channels, the ordinary differential energy equation is proposed. It is showed that the standard step method used for computation of the flow profiles in natural channel is in fact the differential energy equation integrated numerically with the implicit trapezoidal rule. Consequently this

Arrhythmia

Partial Differential Equations of Hyperbolic and Parabolic Type, role of characteristics for hyperbolic equations is underlined. The conditions of well posed solution problem for both types of equations are presented. The finite difference and the finite element methods are introduced. The chapter ends with basic information on the convergence, consistency and s

legacy

Numerical Solution of the Advection Equation,ethod and the method of characteristics. The roots of numerical errors in the form of numerical diffusion and dispersion generated in the solution of hyperbolic equations are discussed. The method of analysis and graphical presentation of the numerical properties of applied schemes is described. The

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广大

Numerical Integration of the System of Saint Venant Equations,e Preissmann scheme and of the modified finite element method used for a channel with fixed bed is provided. For both methods stability analysis using the Neumann approach and accuracy analysis using the modified equations approach is carried out. The problem of the boundary condition required at th

剧毒

COWER

Book 2010uman l- ing. The free surface ow, which takes place in the oceans, seas and rivers, can be still regarded as one of the most complex physical processes in the environment. The rst source of dif culties is the proper recognition of physical ow processes and their mathematical description. The second