Academic Journal
Seismic-generated unsteady motions in shallow basins and channels. Part I: Smooth analytical solutions
| العنوان: | Seismic-generated unsteady motions in shallow basins and channels. Part I: Smooth analytical solutions |
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| المؤلفون: | Andrea Maranzoni, Paolo Mignosa |
| المساهمون: | Maranzoni, Andrea, Mignosa, Paolo |
| سنة النشر: | 2019 |
| المجموعة: | Università di Parma: CINECA IRIS |
| مصطلحات موضوعية: | 2D shallow water equation, Dimensional analysi, Exact solution, Seismic-induced water motion, Source term, Modeling and Simulation, Applied Mathematics |
| الوصف: | In this paper time-dependent water motions generated by seismic-type horizontal excitation in shallow basins and channels are modelled by the two-dimensional depth-averaged shallow water equations in which a specific source term is added in order to include an earthquake-induced forcing effect. Sinusoidal excitation is considered as a first approximation, and the response of shallow basins and channels to this simple external forcing is characterized. The nondimensional form of the governing equations shows that the Strouhal number and a ratio representing the amplitude of the forcing acceleration are the influential dimensionless parameters. Novel exact solutions of sinusoidally-forced smooth waves in a prismatic tank, a rectangular open channel, and a parabolic basin are presented. In the first two cases, a sway motion occurs, and reflections take place at the side walls. In the last case, the water sloshes back and forth flowing up the sloping sides of the basin; the free surface remains planar and a moving circular shoreline is present. These analytical solutions provide useful standards for assessing the accuracy of the numerical models used to solve the two-dimensional shallow water equations with source terms. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000457669700038; volume:68; firstpage:696; lastpage:711; numberofpages:16; journal:APPLIED MATHEMATICAL MODELLING; http://hdl.handle.net/11381/2850837; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85053164256; www.elsevier.com/inca/publications/store/5/2/4/9/9/8/ |
| DOI: | 10.1016/j.apm.2018.07.046 |
| الاتاحة: | http://hdl.handle.net/11381/2850837 https://doi.org/10.1016/j.apm.2018.07.046 |
| رقم الانضمام: | edsbas.686DF95 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.apm.2018.07.046 |
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