IMMERSED BOUNDARY METHOD FOR COMPRESSIBLE VISCOUS FLOW AROUND MOVING BODIES

이동하는 물체 주위의 압축성 유동에 대한 가상경계법

  • 조용 (경북하이브리드부품연구원) ;
  • ;
  • Published : 2008.09.30

Abstract

A methodology for the simulation of compressible high Reynolds number flow over rigid and moving bodies on a structured Cartesian grid is described in this paper. The approach is based on a modified version of the Brinkman Penalization method. To avoid oscillations in the vicinity of the body and to simulate shcok-containing flows, a Weighted Essentially Non-Oscillatory scheme is used to discretize the spatial flux derivatives. For high Reynolds number viscous flow, two turbulence models of the two-equation Menter's SST URANS model and a two-equation Detached Eddy Simulation are implemented. Some simple flow examples are given to assess the accuracy of the technique. Finally, a moving grid capability is demonstrated.

Keywords

References

  1. 1947, Brinkman, H.C., "On the Permeability of Media Consisting of Closely Packed Porous Particles," Applied Scientific Research, Vol.A1, pp.81-86
  2. 1972, Peskin, C.S., "Flow Patterns around Heart Valves: A Numerical Method," Journal of Computational Physics, Vol.10, pp.252-271 https://doi.org/10.1016/0021-9991(72)90065-4
  3. 1993, Goldstein, D., Handler, R. and Sirovich, L., "Modeling a No-slip Flow Boundary with an External Force Field," Journal of Computational Physics, Vol.105, pp.354-366 https://doi.org/10.1006/jcph.1993.1081
  4. 1995, Goldstein, D., Handler, R. and Sirovich, L., "Direct Numerical Simulation of Turbulent Flow Over a Modelled Riblet Covered Surface," Journal of Fluid Mechanics, Vol.302, pp.333-376 https://doi.org/10.1017/S0022112095004125
  5. 1996, Saiki, E.M. and Biringen, S., "Numerical Simulation of a Cylinder in Uniform Flow: Application of a Virtual Boundary Method," Journal of Computational Physics, Vol.123, pp.450-465 https://doi.org/10.1006/jcph.1996.0036
  6. 2002, Vasilyev, O.V. and Kevlahan, N.K.-R., "Hybrid Wavelet Collocation-Brinkman Penalization Method for Complex Geometry Flows," International Journal for Numerical Methods in Fluids, Vol.40, pp.531-538 https://doi.org/10.1002/fld.307
  7. 1999, Angot, P., Bruneau, C.-H. and Fabrie, P., "A Penalization Method to Take Into Account Obstacles in Incompressible Viscous Flows," Numerische Mathematik, Vol.81, pp.497-520 https://doi.org/10.1007/s002110050401
  8. 2001, Kevlahan, N.K.-R. and Ghidaglia, J.-M., "Computation of Turbulent Flow Past an Array of Cylinders Using a Spectral Method with Brinkman Penalization," European Journal of Mechanics B - Fluids, Vol.20, pp.333-350 https://doi.org/10.1016/S0997-7546(00)01121-3
  9. 2000, Verzicco, R., Mohd-Yusof, J., Orlandi, P. and Haworth, D., "Large Eddy Simulation in Complex Geometric Configurations Using Boundary Body Forces," AIAA Journal, Vol.38, No.3, pp.427-433 https://doi.org/10.2514/2.1001
  10. 2002, Verzicco, R. Fatica, M., Iaccarino, G., Moin, P. and Khalighi, B., "Large Eddy Simulation of a Road Vehicle with Drag-Reduction Devices," AIAA Journal, Vol.40, No.12, pp.2447-2455 https://doi.org/10.2514/2.1613
  11. 2004, Li, C.W. and Wang, L.L., "An Immersed Boundary Finite Difference Method for LES of Flow Around Bluff Shapes," International Journal for Numerical Methods in Fluids, Vol.46, pp.85-107 https://doi.org/10.1002/fld.749
  12. 2005, Zou, J.-F., Ren, A.-L. and Deng, J., "Study on Flow Past Two Spheres in Tandem Arrangement Using a Local Mesh Refinement Virtual Boundary Method," International Journal for Numerical Methods in Fluids, Vol.49, pp.465-488 https://doi.org/10.1002/fld.998
  13. 2005, Emblemsvag, J.-E., Suziki, R. and Candler, G.V., "Cartesian Grid Method for Moderate-Reynolds Number Flows Around Complex Moving Objects," AIAA Journal, Vol.43, No.1, pp.76-86 https://doi.org/10.2514/1.8553
  14. 2005, Gilmanov, A. and Sotiropoulos, F., "A Hybrid Cartesian/Immersed Boundary Method for Simulating Flows with 3D, geometrically complex, moving bodies," Journal of Computational Physics, Vol.207, pp.457-492 https://doi.org/10.1016/j.jcp.2005.01.020
  15. 1992, Menter, F.R., "Improved Two-Equation Turbulence Models for Aerodynamic Flows," NASA TM-103975
  16. 1997, Mohd-Yusof, J., "Combined Immersed-Boundary/ B-Spline Methods for Simulations of Flow in Complex Geometries," CTR Annual Research Briefs, NASA Ames Research/Stanford University, pp.317-327
  17. 1980, Wilcox, D.C. and Rubesin, M.W., "Progress in Turbulence Modeling for Complex Flow Fields Including Effects of Compressibility," NASA Technical Paper 1517.
  18. 1997, Spalart, P.R., Jour, W.-H., Strelets, M. and Allmaras, S. R., "Comments on the Feasibility of LES for Wings, and on a Hybrid RANS/LES Approach," 1st AFOSR International Conference on DNS/LES, Aug. 4-8, Ruston, LA
  19. 1992, Spalart, P.R. and Allmaras, S.R., "A One-Equation Turbulence Model for Aerodynamic Flows," AIAA Paper 92-439
  20. 1997, Shu, C.W., "Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws," ICASE Report No.97-65, NASA/CR-97-206253
  21. 1981, Jameson, A., Schmidt, W. and Turkel, E., "Numerical Solution of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes," AIAA Paper 81-1259
  22. 1997, Lockard, D.P., "Simulations of the Loading and Radiated Sound of Airfoils and Wings in Unsteady Flow Using Computational Aeroacoustics and Parallel Computers," Ph.D. Thesis, Penn State University
  23. 1989, Selig, M.S., Donova, J.F. and Fraser, D.B., "Airfoils at Low Speeds," Herk Stokely, 1504 Horseshoe Circle, Virginia Beach, VA23451
  24. 1994, Piziali, R.A., "2-D and 3-D Oscillating Wing Aerodynamics for a Range of Angle of Attack Including Stall," NASA TM-4632
  25. 1984, Rodriguez, O., "The Circular Cylinder in Subsonic and Transonic Flow," AIAA Journal, Vol.22, pp.1713-1718 https://doi.org/10.2514/3.8842