By Panagiotis D. Scarlatos

Florida Atlantic University, Boca Raton FL USA

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The students will develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs). The equations involved are nonlinear and of hyperbolic type. The problem to be solved is an initial-boundary value problem that describes the time evolution of the water hammer phenomenon. Understanding and controlling water hammer effects is essential for a safe operation of dams and water/ wastewater facilities. The student will learn to appreciate the importance of the simplification assumptions made during the derivation of the governing equations, the limitations of the numerical scheme, the linearization treatment, and the utilization of the appropriate initial and boundary conditions. The project should be completed in three in-class days and nine out-of-class days. The students, working in pairs, are expected to complete three one-page reports, one final report, and an oral, power-point aided, presentation. Due to the comprehensiveness of the project, depending on the student background, the teacher may put particular emphases on the engineering, physics, PDE analysis, numerical treatment or MATLAB modeling aspects of the water hammer phenomenon.

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Researchers should cite this work as follows:

  • Panagiotis D. Scarlatos (2021), "9-030-S-WaterHammer," https://www.simiode.org/resources/8779.

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