Browsing by Author "Parker-Lamptey, George"

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    Quantitative Analysis of Approximate Models to the Saint Venant Equations
    (2012-06-15) Parker-Lamptey, George
    Approximate models such as (nonlinear Burgers’ Equation Model and nonlinear Kinematic Wave Model) to the normalized Saint Venant Equations are very important models that can be used in place of the Saint Venant Equations. In addition to these approximate models, a third order approximate model is proposed and presented in this research. The constants of the previous models are preserved in the third order approximate model and the magnitude of the estimated constant of the third derivative is F 2/3(1−4/9F 2). The four o o point Preissmann is used to discretize the normalized Saint Venant Equations and the three approximate models (including the third order model). The algorithms are programmed and the models are simulated. The positive and negative surges are both experimentally considered in the application of a dam break problem. The quantitative results of the approximate models are compared to the normalized Saint Venant equations. The third order derivative is found to equal the Saint Venant equation at lower level than the BEM