Atmosferik geçiş yapan araç etrafında Navier-Stokes denklemleri ile üç boyutlu hipersonik akış analizi

Bu çalışmada hipersonik akışlar için kullanılabilecek isabetli ve etkin bir hesaplamalı akışkanlar dinamiği kodu geliştirilmesi amaçlanmaktadır. Akış analizi üç boyutlu Navier-Stokes denklemlerini temel almaktadır. Bu denklemler Newton metoduyla çözülmekte ve Jacobian matrislerini hesaplamak için analitik metot kullanılmaktadır. Model olarak alınan AS-202 Apollo uzay aracı geometrisi üzerinde akış parametreleri ve taşınımla ısı transferi analiz edilecektir. Ayrıca nümerik olarak stabil olan ve genelde hipersonik akış uygulamalarında iyi tahminler sağlayan Spalart-Allmaras türbülans modeli kullanılarak hipersonik akış için türbülanslı akış analizi yapılacaktır.

Analysis of three dimensional hypersonic flow around re-entry vehicle using Navier-Stokes equations

The purpose of this study is to develop an accurate and efficient CFD code that can be used in hypersonic flows. The flow analysis is based on the three dimensional Navier-Stokes equations. These equations are solved by using Newton’s method and the analytical method is used to calculate the Jacobian matrix. Flow parameters and convective heat transfer are analyzed on Apollo AS-202 Space Capsule. Also, one-equation Spalart- Allmaras turbulence model is used to analyze hypersonic turbulent flow since this turbulence model is numerically robust and generally gives good predictions in hypersonic applications.

___

  • [1] Ballmann, J., Coratekin, T., Keuk, J. (2004) ‘’Performance of Upwind Schemes and Turbulence Models in Hypersonic Flows’’, AIAA Journal, Vol.42, No.5
  • [2] Paciorri R., Dieudonne W., Degrez G., Charbonnier J.M., Deconinck H. (1998), ‘’Exploring the Validity of the Spalart–Allmaras Turbulence Model for Hypersonic Flows’’, Journal of Spacecraft and Rockets, Vol. 35, No. 2
  • [3] Gorshkov, A.B. (2011), ‘’Heat Transfer - Mathematical Modeling, Numerical Methods and Information Technology’’, ISBN 978-953-307-550-1
  • [4] Blottner, F.G., Roy, C.J. (2006) ‘’ Review and assessment of turbulence models for hypersonic flows’’, Progress in Aerospace Sciences, 42 (2006) 469-530
  • [5] Blottner, F.G., Roy, C.J., (2003) ‘’Methodology for Turbulence Model Validation: Application to Hypersonic Flows’’, Journal of Spacecraft and Rockets, Vol.40, No.3
  • [6] Blottner, F.G., Roy, C.J., (2001) ‘’Assessment of One- and Two-Equation Turbulence Models for Hypersonic Transitional Flows’’, Journal of Spacecraft and Rockets, Vol.38, No.5
  • [7] Teramoto S., Hiraki K., Fujii K. (2001) “Numerical Analysis of Dynamic Stability of a Reentry Capsule at Transonic Speeds”, AIAA Journal, Vol.39, No.4
  • [8] Reddy D.S.K., Sinha K. (2011) “Effect of Chemical Reaction Rates on Aeroheating Predictions of Reentry Flows”, Journal of Thermophysics and Heat Transfer, Vol.25, No.1
  • [9] Shang J.S., Surzhikov S.T., (2010) “Simulating Nonequlibrium Flow for Ablative Earth Reentry”, Journal of Spacecraft and Rockets, Vol.47, No.5
  • [10] Spalart P.R., Allmaras S.R., (1992) ‘’A One- Equation Turbulence Model for Aerodynamic Flows’’, AIAA Paper 92-0439
  • [11] Cui K., Hu S.C., (2013) “Shape Design to Minimize the Peak Heat-Flux of Blunt Leading Edge”, 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Grapevine (Dallas/Ft. Worth Region), Texas, AIAA 2013-0233
Havacılık ve Uzay Teknolojileri Dergisi-Cover
  • ISSN: 1304-0448
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2003
  • Yayıncı: Dr. Öğr. Üyesi Fatma Kutlu Gündoğdu