以自調三角形網格法探討超音速背階流場

Numerical Investigation of the Supersonic Backstep Flow on Adaptive Triangular Mesh

楊世英(Shih-Ying Yang)

《中國航空太空學會學刊》 33卷1期 (2001/03) Pp. 39-46

https://doi.org/10.6124/TAASRC.200103_33(1).06

摘要

本文採用一個自調三角形網格法和一個區域隱式有限體積法來探討超音速流通過一個背向階梯，在卡式座標系統下，求解非穩態歐拉方程式。本文發展一個新的誤差指標法，此法結合單位化之密度梯度和單位化之漩渦度絕對值梯度，將計算解與相關數值及實驗值做比較，本文所採用之數值法可得到滿意的計算結果，自調網格可清晰地抓住背階角漩渦、擴散扇和斜震波的結構。

關鍵字

自調三角形網格 ； 超音速背階流 ； 誤差指標法

並列摘要

An adaptive triangular mesh and a locally implicit finite volume scheme are utilized to investigate the supersonic flow over a backward- facing step. In the Cartesian coordinate system, the unsteady Euler equations are solved. A new error indicator, which incorporates the unified gradient of density and the unified gradient of absolute value of vorticity, is developed in this work. Based on the comparison of the present solution with the related numerical and experimental data, the present approach can give satisfactory results. From the adaptive mesh, the structure of backstep corner vortex, expansion wave and oblique shock wave is clearly captured.

並列關鍵字

adaptive triangular mesh ； supersonic backstep flow ； error indicator