期刊
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS
卷 22, 期 4, 页码 241-257出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/10618560701880953
关键词
volume-of-fluid; non-orthogonal grid; free-surface flow; piecewise linear interface calculation
The conventional volume-of-fluid method has the potential to deal with large free surface deformation on a fixed Cartesian grid. However, when free-surface flows are within or over complex geometries of industrial relevance, such as free-surface flows over offshore oil platforms, it is advantageous to extend the method originally written in Cartesian forms into non-Cartesian forms. In the present study, an algorithm similar to the algorithm described by Rudman in 1997 is proposed for use with curvilinear co-ordinates. This extension results in the ability to model complex geometries which could not be modelled using the original algorithm. Excellent agreement between the solutions obtained on both orthogonal and non-orthogonal meshes is achieved, although in general the L1 error, based on the exact solution, on the non-orthogonal mesh is slightly higher than that on the orthogonal mesh. The extended fluid flow solving capacity of the present method is demonstrated through its application to a non-orthogonal Rayleigh-Taylor instability problem.
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