Application of TVD Scheme in Computation of Three-Dimensional Viscous Flows in a Supersonic Nozzle
Li Guojun, Chang Jianzhong, Feng Zhenping, Shen Zuda
(School of Energy & Power Eng., Xi'an Jiaotong University£©

Abstract: In this paper, a TVD scheme for solving the conductive terms of the Navier-Stokes equations in three-dimensional arbitrary curvilinear coordinate system was constructed and a numerical method for calculating three-dimensional viscous flo ws was presented in details. The method was applied to the prediction for the laminar flow fields with shock and shock-free in a three-dimensional supersonic nozzle, and it was shown from the comparison between the computational and exper imental results that the method proposed in this paper has a higher accuracy. Mo reover, the TVD scheme was demonstrated to have high resolution for shock wave c apturing and good numerical stability and convergence. The present work provides a sound base for the further study on turbulent flows in the three-dimensional supersonic nozzle as well as in turbomachinery cascades.
Keywords: TVD scheme, three-dimensional, visc ous, supersonic, nozzle.