JSME International Journal Series B Fluids and Thermal Engineering
Online ISSN : 1347-5371
Print ISSN : 1340-8054
ISSN-L : 1340-8054
High-Order Finite-Difference Method for Incompressible Flows Using Collocated Grid System
Takeo KAJISHIMATakashi OHTAKazuhiko OKAZAKIYutaka MIYAKE
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1998 Volume 41 Issue 4 Pages 830-839

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Abstract

To apply the direct numerical simulation(DNS) and the large-eddy simulation(LES) of turbulence to flow fields of complicated geometry, a higher-order finite-difference method(FDM) has been developed for the body-fitted coordinate system. The consistency and the conservation property of FDMs are discussed for the collocated grid. As numerical examples, DNS results of decaying isotropic turbulence and DNS / LES results for plane channel flow are shown and the influence of variable arrangement is examined. The results by the consistent 'interpolation'method for gradient from on the collocated grid agree well with those by other proper FDMs and the spectral method.

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© The Japan Society of Mechanical Engineers
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