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보존형 형태의 S-A 난류 모델 방정식을 이용한 이차원 유동 해석
곽인근(E. Kwak),백지영(J.Y. Baek),이승수(S. Lee) 한국전산유체공학회 2012 한국전산유체공학회 학술대회논문집 Vol.2012 No.5
Numerical simulations of two dimensional flows are performed with a conservative form of S-A turbulence model and the simulation results are compared to those of the standard form and the compressible form. The conservative form is derived, from the standard form, which is in non-conservative form, using the continuity equation. The model constant of the conservative form is corrected to compensate for the differences between the conservative and the non-conservative discretizations. For verification of the conservative form of the equation, flows over a flat plate at various flow conditions are computed and the results are compared to those of the other forms as well as other computational results and theories. For subsonic flows, little difference is observed between the results of three forms. For supersonic and hypersonic flows, however, skin frictions of the compressible form and the conservative form are slightly larger than that of the standard form. Furthermore, numerical simulations of a transonic flow around an airfoil are performed with three forms and usefulness of the conservative form is confirmed by obtaining reasonable results.
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