Author(s): S. Ushijima; I. Nezu; M. ; Sanjou; Y. Sakane
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Keywords: Quintic spline function; Collocated grid; Curvilinear coordinates; Fifth-order upwind
Abstract: A higher-order computational scheme utilizing quintic spline interpolation (QSI scheme) has been proposed. The first derivatives included in convection terms are evaluated by differentiating the quintic spline function fitted to the local velocity distributions. This scheme was firstly applied to a pure advection problem and it was demonstrated that its numerical accuracy is superior to a fifth-order upwind difference which is recently adopted in some direct numerical simulations for turbulent flows. This QSI scheme has been im-plemented in the pressure-velocity coupling CFD code with collocated grid system on the general curvilinear coordinates. The developed computational method has been applied to square and polar cavity flows. As a result, it was shown that the accuracy of the present computational method is generally higher than that of the fifth-order upwind dif-ference and that the QSI scheme is effectively working in the collocated grid on curvilinear coordinates.
Year: 2001