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Calculations of Separated Vortex Flows at Low Speed for Low-Aspect-Ratio Wings

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Fluid Dynamics of High Angle of Attack
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Summary

An implicit finite-difference scheme has been developed for solving three-dimensional incompressible Navier-Stokes equations. Computations for complicated vortical flows past several sharp- and round-edged delta and double-delta wings at high angles of attack and sideslip are discussed. Computed results demonstrate the effectiveness of the present method and show good agreement with experimental data.

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References

  1. Roe, P. L.: Approximate Rieman solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43 (1951) 357–372.

    Article  MathSciNet  Google Scholar 

  2. Yee, H. C.; Warming, R. F.; Harten, A.: Implicit total variation diminishing (TVD) schemes for steady-state calculations. J. Comput. Phys. 57 (1985) 327–360.

    Article  MATH  MathSciNet  Google Scholar 

  3. Hsu, C.-H.; Chen, Y.-M.; Liu C. H.: Preconditioned upwind methods to solve incompressible Navier-Stokes equations. AIAA J. 30 (1992) 550–552.

    Article  MATH  Google Scholar 

  4. Hsu, C.-H.; Liu, C. H.: Numerical study of vortex-dominated flows for wings at high incidence and sideslip. J. Aircraft 29 (1992) 396–403.

    Article  Google Scholar 

  5. Hsu, C.-H.; Chen, Y.-M.; Liu, C. H: Time-marching methods for three-dimensional steady and unsteady viscous incompressible flows. AIAA Paper 91–0024 (1991).

    Google Scholar 

  6. Hartwich, P.-M.; Hsu, C.-H.; Liu, C. H.: Vectorizable implicit algorithms for the flux-difference split, three-dimensional Navier-Stokes equations. J. Fluids Eng. 110 (1988) 297–305.

    Article  Google Scholar 

  7. Hartwich, P.-M.; Hsu, C.-H.: High resolution upwind schemes for the three-dimensional incompressible Navier-Stokes equations. AIAA J. 26 (1988) 1321–1328.

    Article  MATH  MathSciNet  Google Scholar 

  8. Hsu, C.-H.; Liu, C. H.: Simulation of leading-edge vortex flows. Theoret. and Comput. Fluid Dynam. 1 (1990) 379–390.

    MATH  Google Scholar 

  9. Hsu, C.-H.; Hartwich, P.-M.; Liu, C. H.: Computation of vortical interaction for a sharp-edged double-delta wing. J. Aircraft 25 (1988) 442–447.

    Article  Google Scholar 

  10. Hsu, C.-H.; Hartwich, P.-M.; Liu, C. H.: Incompressible Navier-Stokes computations for a round-edged double-delta wing. J. Aircraft 25 (1988) 675–676.

    Article  Google Scholar 

  11. Hsu, C.-H.; Liu, C. H.: Prediction of vortical flows on wings using incompressible Navier-Stokes equations. J. Aircraft 27 (1990) 913–914.

    Article  Google Scholar 

  12. Hsu, C.-H.; Liu, C. H.: Navier-Stokes computation of flow around a round-edged double-delta wing. AIAA J. 28 (1990) 961–968.

    Article  Google Scholar 

  13. Hsu, C.-H.; Hartwich, P.-M.; Liu, C. H.: Studies of vortex flow aerodynamics using CFD flow visualizations. Proc. 4th Asian Cong. Fluid Mech., Hong Kong (1989) F117 - F120.

    Google Scholar 

  14. Brennenstuhl, U.; Hummel, D.: Vortex formation over double-delta wings. ICAS82–6. 6. 3, 1982.

    Google Scholar 

  15. Verhaagen, N. C.: An experimental investigation of the vortex flow over delta and double-delta wings at low speed. ACARD-CP-342, Paper 7, 1983.

    Google Scholar 

  16. Verhaagen, N. G.; Naarding, S. H. J.: Experimental and numerical investigation of vortex flow over a sideslipping delta wing. J. Aircraft 26 (1989) 971–978.

    Article  Google Scholar 

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© 1993 Springer-Verlag Berlin Heidelberg

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Liu, C.H., Hsu, CH. (1993). Calculations of Separated Vortex Flows at Low Speed for Low-Aspect-Ratio Wings. In: Kawamura, R., Aihara, Y. (eds) Fluid Dynamics of High Angle of Attack. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52460-8_24

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  • DOI: https://doi.org/10.1007/978-3-642-52460-8_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-52462-2

  • Online ISBN: 978-3-642-52460-8

  • eBook Packages: Springer Book Archive

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