移流項差分における一次精度風上,QUICK,中心差分スキーム等の比較検討 : 室内気流数値解析の診断システムに関する研究(第2報)

概要

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Finite-difference schemes for the convective term of the governing equations of fluid flow have a great influence on its numerical solution. Many kinds of the finite-difference schemes are proposed, which are intended to be highly accurate and stable. In this paper truncation errors of some finite-difference schemes are systematically shown by using Taylor series expansion. And some typical schemes are tested for the numerical simulation of turbulent flowfield in a room using k-ε type 2-equation turbulent model in order to estimate the influence on simulation results. Comparing these numerical results of velocity vectors distribution and turbulent quantities distribution with each other, it is shown that the simulations with QUICK scheme for the momentum equations take a least influence of artificial diffusion and are conducted stably. However, the simulation with QUICK scheme for the scalar equations shows the numerical instability with the under-shoot in the result. However, it is confirmed that this defect is overcome by introducing second-order artificial diffusion both partially and temporary. It is concluded that the modified QUICK scheme is one of the most useful schemes for convective terms of the numerical simulation of 3 D turbulent flowfield in a room.
社団法人日本建築学会の論文
1988-08-30