Second-Order Solution for Damped Cooscillating Tide in Narrow Canal
| Autor: | Jacobus van de Kreeke, Richard A. Iannuzzi |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Physics
Statistics::Theory Computer simulation Mechanical Engineering Mathematical analysis Perturbation (astronomy) Order (ring theory) Dissipation Computer Science::Digital Libraries Physics::Geophysics Nonlinear system Amplitude Computer Science::Networking and Internet Architecture Calculus Statistics::Methodology Boundary value problem Shallow water equations Water Science and Technology Civil and Structural Engineering |
| Zdroj: | Journal of Hydraulic Engineering. 124:1253-1260 |
| ISSN: | 1943-7900 0733-9429 |
| DOI: | 10.1061/(asce)0733-9429(1998)124:12(1253) |
| Popis: | The \iM\d0 and \iM\d4 tidal currents are important for tide-induced net transport of sediment. To develop a physical understanding of the processes responsible for generating \iM\d0 and \iM\d4, a second-order analytical solution for a damped cooscillating tide in a closed-end canal with a horizontal bottom is presented. In deriving the analytical solution, it is assumed that the governing shallow water equations are weakly nonlinear, allowing the use of a perturbation technique. For this, the friction term in the momentum equation is linearized by requiring the tidally and spatially averaged energy dissipation by \iM\d2 to be the same for the nonlinear and linearized friction. To determine the accuracy, for selected canals, the analytical solution is compared with numerical solutions. For \iM\d0 and \iM\d4, numerical and analytical values are within 20%. The analytical solution is used to demonstrate the internal generation of \iM\d0 and \iM\d4 through the nonlinear terms in the equations. |
| Databáze: | OpenAIRE |
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