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  • 1
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 22 (1996), S. 151-173 
    ISSN: 0271-2091
    Keywords: free surface flow ; spillways ; critical flow ; finite element ; sensitivity analysis ; variable domain method ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A new method for the computation of two-dimensional critical flows over spillways is presented. The premise of the method is that at a critical value of the discharge coefficient that free boundary has no upstream waves. For the chosen spillway geometry without a toe section this requirement is equivalent to negative curvature of the free boundary. The method consists of two levels: at the inner level the corresponding free boundary value problem is solved for a fixed value of Q and at the outer level a critical value of Q is sought by minimization of the oscillation of the free boundary. An invaluable part of the method is the sensitivity anlaysis of the finite element stiffness matrix. The correctness of the numerical results is proved by scrutinizing the convergence rate by mesh refinement. Good agreement of the computed results with experimental data is achieved.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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