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Transactions: WSEAS TRANSACTIONS ON FLUID MECHANICS
Transactions ID Number: 53-670
Full Name: Edisson Sávio de Góes Maciel
Position: Engineer
Age: ON
Sex: Male
Address: Rua Demócrito Cavalcanti, 152, Afogados
Country: BRAZIL
Tel: 55 (81) 3428-1769
Tel prefix: 55 (81) 9172-6298
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E-mail address: edissonsavio@yahoo.com.br
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Title of the Paper: Supersonic and Hypersonic Flows on 2D Unstructured Context: Part II
Authors as they appear in the Paper: Edisson Sávio de Góes Maciel
Email addresses of all the authors: edissonsavio@yahoo.com.br
Number of paper pages: 30
Abstract: In this work, 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, as well two types of linear interpolation, based on the works of Frink, Parikh and Pirzadeh and of Jacon and Knight. Two types of viscous calculation to the laminar case are compared. They are programmed considering the works of Long, Khan and Sharp and of Jacon and Knight. To the turbulent simulations, the Wilcox and Rubesin model is employed. The ramp problem for the inviscid supersonic simulations and the re-entry capsule for the viscous hypersonic simulations are!
considered. In this paper, part II of this work, only the inviscid results are presented, as well the time step analyses to choose the best option. Particularly, the results have demonstrated that both Van Leer and Radespiel and Kroll algorithms yield the best results in terms of the prediction of the shock angle of the oblique shock wave. Moreover, the Radespiel and Kroll algorithm yields the best pressure distribution in three (3) of the four (4) studied cases – involving first and second order results. The convective time step is the best choice to accelerate the convergence of the numerical schemes, as reported by Maciel.
Keywords: Supersonic and hypersonic flows; Unstructured discretization; Van Leer algorithm; Radespiel and Kroll algorithm; Wilcox and Rubesin turbulence model.
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