A semianalytical solution of the Saint-Venant equations for channel flood routing
نویسندگان
چکیده
منابع مشابه
On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
We address the issue of the exponential stability (in L2-norm) of the classical solutions of the linearised Saint-Venant equations for a sloping channel. We give an explicit sufficient dissipative condition which guarantees the exponential stability under subcritical flow conditions without additional assumptions on the size of the bottom and friction slopes. The stability analysis relies on th...
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متن کاملCentral-Upwind Scheme on Triangular Grids for the Saint-Venant System of Shallow Water Equations
We consider a novel second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids which was originally introduced in [3] . Here, in several numerical experiments we demonstrate accuracy, high resolution and robustness of the proposed method.
متن کاملCentral-Upwind Scheme for a Non-hydrostatic Saint-Venant System
We develop a second-order central-upwind scheme for the non-hydrostatic version of the Saint-Venant system recently proposed in [M.-O. Bristeau and J. Sainte-Marie, Discrete Contin. Dyn. Syst. Ser. B, 10 (2008), pp. 733–759]. The designed scheme is both well-balanced (capable of exactly preserving the “lake-at-rest” steady state) and positivity preserving. We then use the central-upwind scheme ...
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ژورنال
عنوان ژورنال: Water Resources Research
سال: 2003
ISSN: 0043-1397
DOI: 10.1029/2002wr001690