前処理型陰的流束分離スキームとその熱対流問題への応用(流体工学,流体機械)

抄録

An implicit preconditioning method based on the so-called preconditioning method proposed by Weiss and Smith for solving very low-Mach-number flows and the higher-order finite-difference method developed by the authors for solving transonic viscous flows is presented. Especially, an implicit flux-splitting form in general curvilinear coordinates is newly introduced in this paper. This form is applicable not only to the flux-difference splitting in Roe's Riemann solver but also to the implicit fluxes in the LU-SGS scheme. Very low-Mach-number flows anound NACA0012 airfoil are calculated to validate the numerical accuracy of the present method and a natural convection around a cylinder is calculated to compare the results with the experiments.