Supersonic and Hypersonic Flows on 2D Unstructured Context: Part IV Other Turbulence Models

摘要

In this work, the fourth of this study, numerical simulations involving supersonic and hypersonic flows on an unstructured context are analyzed. The Van Leer and the Radespiel and Kroll schemes are implemented on a finite volume formulation, using unstructured spatial discretization. The algorithms are implemented in their first and second order spatial accuracies. The second order spatial accuracy is obtained by a linear reconstruction procedure based on the work of Barth and Jespersen. Several non-linear limiters are studied using the linear interpolation based on the work of Jacon and Knight. To the turbulent simulations, the Wilcox, the Menter and Rumsey and the Yoder, Georgiadids and Orkwis models are employed. The compression corner problem to the supersonic inviscid simulations and the re-entry capsule problem to the hypersonic viscous simulations are studied. The results have demonstrated that the Van Leer algorithm yields the best results in terms of the prediction of the shock angle of the oblique shock wave in the compression corner problem and the best value of the stagnation pressure at the configuration nose in the re-entry capsule configuration. The spatially variable time step is the best choice to accelerate the convergence of the numerical schemes, as reported by Maciel. In terms of turbulent results, the Wilcox model yields the best results, proving the good capacity of this turbulence model in simulate high hypersonic flows. This paper is continuation of Maciel's works started in 2011 and treats mainly the influence of turbulence models on the solution quality.