Simulation of Supersonic Flows with the Non-Reflecting Boundary Conditions

Authors

  • A Abdalla Al-Farabi Kazakh National University
  • A Zh Naimanova Institute of Mathematics of the ministry of education and science of the Kazakhstan republic, Almaty
  • A Kaltayev Al-Farabi Kazakh National University
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Abstract

This paper presents a formulation of the NSCBC (Navier- Stocks characteristic boundary conditions) for the problem of turbulent supersonic gas flow in a plane channel with a perpendicular injection jets. The non-reflection boundary conditions for direct modeling of compressible viscous gases are studied through boundaries for the subsonic inflow and subson- ic non-reflection outflow situations. Verification of the constructed algorithm of boundary conditions is carried out by solving a test problem of perpendicular sound of jets injection into a supersonic gas flow in a plane channel at different three inflow Mach Numbers (M1 = 2.75,M1 = 3.75 and M1 = 4.75.).

References

[1] 1. A.O. Beketaeva and A.Zh.Naimanova, Application of ENO (Essentially Non-Oscillatory) Scheme for modeling the flow of a multi-component gas mixture // Journal of Computational Technologies. - 2007.- Vol. 12, 4,P. 17-25.

[2] 2. Poinsot T. J. and Lele S. K., Boundary Conditions for Direct Simulation of Compressible Viscous Flow// Journal of Computational Physics. -1992.- Vol. 101 P. 104-129.

[3] 3. Hendsrom G. W. , Nonreflection boundary conditions for nonlinear hyperbolic systems.// Journal of Computational Pysics - 1979. - Vol. 30, Р. 222-237.

[4] Kee R. J., Rupley F. M., MillerJ. A. CHEMKIN-II: a FORTRAN chemical kinetic pakage for the analysis of gass-phase chemical kinetics, SANDIA Report SAND89-8009, 1989.

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How to Cite

Abdalla, A., Naimanova, A. Z., & Kaltayev, A. (2011). Simulation of Supersonic Flows with the Non-Reflecting Boundary Conditions. Journal of Mathematics, Mechanics and Computer Science, 70(3), 62–69. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/210

Issue

Vol. 70 No. 3 (2011): Journal of Mathematics, Mechanics and Computer Science

Section

Mechanics