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espace at MMU > Faculties > Faculty of Science and Engineering > Department of Computing and Mathematics: Centre for Mathematical Modelling and Flow Analysis (CMMFA) > Finite volume simulation of viscous free surface waves using the Cartesian cut cell approach

Please use this identifier to cite or link to this item: http://hdl.handle.net/2173/108954
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Title: Finite volume simulation of viscous free surface waves using the Cartesian cut cell approach
Authors: Bai, W.
Mingham, Clive G.
Causon, Derek M.
Qian, Ling
Citation: International Journal for Numerical Methods in Fluids, 2009, vol. 63, no. 1, pp. 69 - 95
Publisher: John Wiley & Sons Ltd.
Issue Date: 2009
URI: http://hdl.handle.net/2173/108954
DOI: 10.1002/fld.2079
Additional Links: http://interscience.wiley.com/jpages/0271-2091
Abstract: The application of the Cartesian cut cell approach in the numerical simulation of two-dimensional viscous free surface flows is described. The Arbitrary Lagrangian-Eulerian method is adopted to update the moving free water surface in a semi-Lagrangian scheme, in which a finite volume method of second-order accuracy in space is used for solving the flow field based on an Eulerian description at each time step. The cut cell approach is employed to track the free surface and solid boundaries across a stationary background Cartesian grid covering the whole fluid, air and solid regions. In this approach, the cells full of air and solid are not calculated explicitly, and apart from the fluid cells, cut cells and merged cells are treated separately in terms of corresponding boundary conditions. In order to validate the present numerical method, current flow past a circular cylinder at various low Reynolds numbers and wave sloshing in a rectangular container are tested first. Further numerical results are obtained for the propagation of regular waves and a wave passing over a submerged dike. The model is also applied to the simulation of radiation waves induced by a forced oscillating submerged circular cylinder. The results indicate that the present numerical model using the Cartesian cut cell approach is highly efficient for solving the wave fields, and fully automatic for generating boundary fitted meshes. These features are particularly useful for moving boundary problems in a larger computational domain and with a longer simulation time.
Type: Article
Language: en
Description: Full-text of this article is not available in this e-prints service. This article was originally published following peer-review in International Journal for Numerical Methods in Fluids, published by and copyright John Wiley & Sons Ltd..
Keywords: Cartesian cut cell
Arbitrary Lagrangian-Eulerian method
Viscous wave
Finite volume method
Free surface
SIMPLE algorithm
ISSN: 0271-2091
1097-0363
Appears in Collections: Department of Computing and Mathematics: Centre for Mathematical Modelling and Flow Analysis (CMMFA)

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