Correspondence between de Saint-Venant and Boussinesq 5: Viscosity and hydraulic resistance
نویسندگان
چکیده
منابع مشابه
Viscous stabilizations for high order approximations of Saint-Venant and Boussinesq flows
Two viscous stabilization methods, namely the spectral vanishing viscosity (SVV) technique and the entropy viscosity method (EVM), are applied to flows of interest in geophysics. First, following a study restricted to one space dimension [17], the spectral element approximation of the shallow water equations is stabilized using the EVM. Our recent advances are here carefully described. Second, ...
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The first complete linear theory, based on Kirchhoff’s [1850] earlier works on plates, was given by Love [1888]. The modern theory (linear and nonlinear) comes from the works by Naghdi and Koiter in the sixties. In such models the displacement variables are functions defined on the mean surface and the resulting equations are differential equations on a smooth 2-dimensional submanifold of the t...
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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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The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized Neumann type boundary condition. The problem is solved using the Analog Equation Method (AEM)...
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ژورنال
عنوان ژورنال: Comptes Rendus. Mécanique
سال: 2021
ISSN: 1873-7234
DOI: 10.5802/crmeca.71