Making full use of functional variations with variable domain for handling both the free surface and unknown part of the dam wall,a family of variational principles(VPs)for the hybrid(direct-inverse)problem of free su...Making full use of functional variations with variable domain for handling both the free surface and unknown part of the dam wall,a family of variational principles(VPs)for the hybrid(direct-inverse)problem of free surface spillway flow under gravity is formulated in terms of the potential function Φ.This theory offers new rational and versatile ways for dam de- sign and a sound theoretical basis for numerical solution,e.g.by the finite element method (FEM).展开更多
The Singular Integral Operators Method (S.I.O.M.) is applied to the determination of the free-surface profile of an un-steady flow over a spillway, which defines a classical hydraulics problem in open channel flow. Th...The Singular Integral Operators Method (S.I.O.M.) is applied to the determination of the free-surface profile of an un-steady flow over a spillway, which defines a classical hydraulics problem in open channel flow. Thus, with a known flow rate Q, then the velocities and the elevations are computed on the free surface of the spillway flow. For the numerical evaluation of the singular integral equations both constant and linear elements are used. An application is finally given to the determination of the free-surface profile of a special spillway and comparing the numerical results with corresponding results by the Boundary Integral Equation Method (B.I.E.M.) and by using experiments.展开更多
文摘Making full use of functional variations with variable domain for handling both the free surface and unknown part of the dam wall,a family of variational principles(VPs)for the hybrid(direct-inverse)problem of free surface spillway flow under gravity is formulated in terms of the potential function Φ.This theory offers new rational and versatile ways for dam de- sign and a sound theoretical basis for numerical solution,e.g.by the finite element method (FEM).
文摘The Singular Integral Operators Method (S.I.O.M.) is applied to the determination of the free-surface profile of an un-steady flow over a spillway, which defines a classical hydraulics problem in open channel flow. Thus, with a known flow rate Q, then the velocities and the elevations are computed on the free surface of the spillway flow. For the numerical evaluation of the singular integral equations both constant and linear elements are used. An application is finally given to the determination of the free-surface profile of a special spillway and comparing the numerical results with corresponding results by the Boundary Integral Equation Method (B.I.E.M.) and by using experiments.
