A Compact Finite-Difference Scheme Based on the Projection Method for Natural-Convection Heat Transfer

摘要

Compact finite-difference formulations on nonuniform grids are developed by matching Taylor series of various orders. The accuracies of those formulations are analyzed by the Fourier error method. A new compact finite-difference formulation based on the projection method is established on the staggered grid, and it is used to calculate two typical natural-convection problems. The results indicate that the new compact finite-difference method has higher-order accuracy than traditional methods. For Rayleigh-Benard convection with an aspect ratio of 8, it can predict three different types of static bifurcation at Ra = 5,000 with different initial conditions.View full textDownload full textRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/10407790.2012.654699