Titlebook: Rational Transmitting Boundaries for Time-Domain Analysis of Dam-Reservoir Interaction; Benedikt Weber Book 1994 Springer Basel AG 1994 ea

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Scalar Systems, Signal Processing,ms having a rational transfer function. A system is a mathematical abstraction of a physical model (mechanical, electrical) . It has an input-output relationship described by a differential or difference equation, an impulse response function or a transfer function. The internal structure is usually

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Multivariable Systems, State-Variable Description,eory. Introducing this notation brings some advantages. The state-variable description is the most general form and is equally applicable for scalar and for multivariable systems. Matrix calculus is employed instead of working with polynomials. The whole theory of linear systems is available.

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Balanced Realization,sented in the previous chapter. The reason for introducing yet another method is that the methods treated so far are not easily extended to the multivariable case. This is particularly true for the CF method which is the preferred method so far investigated. One essential property used for that meth

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Fluid Model and Analytical Solutions,ch are used later on as verification problems for the proposed numerical methods and the computer program. In the first part the mathematical fluid model is presented. This part also serves as background for the next chapter on finite element models. In the second part three problems with simple geo

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Finite Element Models,er the fluid, solid and interface elements are derived. The elements are employed for the discretization of the nearfield, that is the dam, the nearfield of the foundation and the nearfield of the reservoir. For the farfield, a semi-analytical approach is taken. The cross-section of the infinite cha

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Symmetric Second-Order Systems,the explicit scheme. The small time step dominates the whole analysis unless a more complicated strategy using different time steps for different parts of the model is employed. Thus the symmetrization of the matrices is a very desirable feature.

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Fluid Model and Analytical Solutions,s included and the dam is assumed to be rigid. For the two-dimensional problem also some commonly-used simplified models and boundary conditions are analyzed. The comparison of the analytical with the numerical results follows in Chapters 10 and 11.