High-precision numerical scheme for vortical flow

渦流れの高精度数値解析スキーム

伊藤 啓; 功刀 資彰*; 大島 宏之

Ito, Kei; Kunugi, Tomoaki*; Ohshima, Hiroyuki

本研究では、渦流れに対する新しい高精度数値解析スキームを提案する。本スキームは、各計算セル内で渦の存在有無を判定し、速度および圧力分布をBurgersモデルに基づいて再構築することで、高精度な運動量輸送計算を行う。検証解析の結果、本スキームが従来スキームと比較して高い解析精度を示すことが確認されている。

In this study, a new high-precision numerical simulation scheme for vortical flows (vortex-based scheme) is proposed. This scheme identifies a vortical flow in each computational cell, and then, reconstructs a vortical velocity distribution based on the Burgers vortex model. In addition, a pressure distribution in the vicinity of the vortex center is also reconstructed. The momentum transfer is calculated with the reconstructed velocity and pressure distributions, and therefore, the vortex-based scheme can simulate vortical flows more accurately than the conventional schemes. In fact, as the simulation result of inviscid vortex attenuation problem, the vortex-based scheme shows lower simulation error compared to the conventional discretization schemes. Moreover, also in the numerical simulation of the quasi-steady vortical flow, the simulation accuracy of the vortex-based scheme is superior to those of the conventional schemes.