E111 8 : 1 キャビティ流れの臨界レイリー数近傍における挙動解析

概要

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In order to analyze flows in a differentially-heated cavity with 8 : 1 aspect ratio, the GSMAC-FEM with a BTD term for stabilization of the convection term is applied for the Navier-Stokes equations. The convection term of the Navier-Stokes equations is treated as conservative form. The fractional step method is applied for the energy equation which is divided into two phases, the advection phase and the non-advection phase. The advection phase is solved by CIP-FEM with the third order accuracy in the spatial direction and the forth order accuracy in the time increment. On the other hand, the non-advection phase is applied for the Galerkin FEM with the second order accuracy. Four kinds of uniform grids are used to calculate the natural convection flow with Ra=3.4×(10)^5. With some parameter study for Rayleigh numbers, the critical Rayleigh number by the GSMAC-CIP method was found out.
日本流体力学会の論文
2001-07-31