Abstract
A boundary fitted non-hydrostatic finite volume model is presented to simulate two dimensional vertical free surface flows effectively deploying only 2-4 vertical layers. The algorithm is based on a projection method which results a block tri-diagonal system of equation with pressure as the unknown. This system can be solved by a direct matrix solver without iteration. To purpose of minimize the computational cost, a new top-layer pressure treatment is proposed which enables the model to simulate relatively short wave motion with very small vertical layers accurately. The test of linear and nonlinear sinusoidal short wave propagation with significant vertical accelerations is applied correctly using a small number of layers.
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© 2007 Tsinghua University Press & Springer
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Ahmadi, A., Badiei, P., Namin, M.M. (2007). An Efficient Boundary Fitted Non-Hydrostatic Model for Free-Surface Flows. In: Zhuang, F.G., Li, J.C. (eds) New Trends in Fluid Mechanics Research. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75995-9_110
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DOI: https://doi.org/10.1007/978-3-540-75995-9_110
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75994-2
Online ISBN: 978-3-540-75995-9
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