Abstract

MARON DOMINGUEZ, David Ernesto; GUTIERREZ DE LA ROSA, Alberto  and  ESCARTIN SAULEDA, Emilio Ricardo. The wave equation as a boundary condition in a channel flow model. riha [online]. 2019, vol.40, n.3, pp. 28-40.  Epub Sep 30, 2019. ISSN 1680-0338.

A non-stationary model is shown, formed by the 1D hyperbolic differential equation, which is commonly used in practice for wave propagation of rivers and channels. As an upstream boundary condition, a function that depends on time has been taken, representing the variation of the water levels in the channel. Downstream, the wave equation with first derivatives in space and time is taken as the boundary condition, thus ensuring that there is no reflection of the wave in that boundary. Numerical algorithms obtained from the application of the Finite Differences Method and the Finite Element Method are formulated and the calculation algorithms are compared with an analytical solution showing good results.

Keywords : initial conditions; boundary conditions; finite differences; hyperbolic equation of order two; finite elements.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )