Development of a 3-D Unsteady Viscous Flow Solver on Deforming Unstructured Meshes

변형되는 비정렬 격자계를 이용한 삼차원 비정상 점성 유동 계산 기법 개발

  • 김주성 (한국과학기술원 항공우주학과) ;
  • 권오준 (한국과학기술원 항공우주학과)
  • Published : 2004.06.01

Abstract

In the present study, a solution algorithm for the computation of unsteady flows on unstructured meshes is presented. Dual time stepping is incorporated to achieve the second-order temporal accuracy while reducing errors associated with linearization and factorization. This allows any time step size, which is suitable for considering physical phenomena of interest. The Gauss-Seidel scheme is used to solve the linear system of equations. A special treatment based on spring analogy is made to handle meshes with high aspect-ratio cells. The present method was validated by comparing the results with experimental data and those obtained from rigid motion.

Keywords

References

  1. Oh, W.S., Kim, J.S., and Kwon, OJ., 'Numerical Simulation of Two-Dimensional Blade-Vortex Interactions Using Unstructured Adapdve Meshes, 'AIAA Joumal, Vo1.40, No.2, (2002), pp.474-480
  2. Kang, H.J. and Kwon, O.J., 'Effect of Wake Adaptation on Rotor Hover Simulations Using Unstructured Meshes' Joumal of Aircraft, Vo1.38, No.5, (2001), pp.868-877
  3. 강희정, '비정렬 적응 격자계를 이용한 정지비행 로터 공력의 수치적 모사,' 한국과학기술원박사학위 논문, (2001)
  4. Spalart, P.R. and AUmaras, S.R, 'A One-EquadonTurbulence Model for Aerodynamic Flows,' AIAA Paper 92-0439, (1992)
  5. Alonso, J.J. and Jameson, A., 'Fully -Implicit Time-Marching Aeroelastic Solutions,' AIAA Paper 94-0056, (1994)
  6. Pulliam, T., 'Time Accuracy and the Use of Implicit Methods,' AIAA Paper 93-3360-CP, (1993)
  7. Frink, N.T., 'Recent Progress Toward a Three-Dimensional Unstructured Navier-Stokes Flow Solver,' AIAA Paper 94-0061, (1994)
  8. Mitchell, C.R., 'Improved Reconstruction Schemes for the Navier-Stokes Equations on Unstructured Meshes,' AIAA Paper 94-0642, (1994)
  9. Buelow, P.E.O., Venkateswaran, S., and Merkle,C.L., 'Stability and Convergence Analysis of Implicit Upwind Schemes,' Computers and Fluids, Vol.30, (2001), pp.961-988
  10. Pirzadeh, S.Z., 'An Adaptive Unstructured Grid Method by Grid Subdivision, Local Remeshing, and Grid Movement,' AIAA Paper99-3255, (1999)
  11. Dubuc, L, Cantahti, F., Woodgate, M.,Gribben, B., Badcock, K.J., and Richards, B.E.,'A Grid Deformation Technique for Unsteady Flow Computations,' Intemational Joumal for Numerical Methods in Fluids, Vo1.32, (2000), pp.285-311
  12. 박영민, 백경욱, 권오준, '비정렬 동적격자를 이용한 상대운동이 있는 물체주위의 2차원 비정상유동해석,' 한국항공우주학회지, 제27권, 제7호, 1999, pp. 1-10
  13. Landon, R.H., 'NACA0012 Oscillatory and Transient Pitching,' Compendium of Unsteady Aerodynamic Measurements, AGARD Rept. 702, 1999