Skip to main content

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
Cancel
×
×
Home
  • Home
Article
  • Cited by 1
  • Cited by
    Crossref Citations
    Crossref logo
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Yang, S.-Y. and Chen, K.-H. 2007. Numerical Study of Turbulent Flows Over Vibrating Blades with Positive Interblade Phase Angle. Journal of Mechanics, Vol. 23, Issue. 02, p. 149.
    ×
  • Get access
    Add to cart USD35.00
    Check if you have access via personal or institutional login
    Log in Register Recommend to librarian

Remeshing Strategy of the Supersonic Flow Over a Backward-Facing Step

  • Shih-Ying Yang (a1)
Abstract

A modified error indicator and an extended locally implicit scheme with anisotropic dissipation model on quadrilateral-triangular mesh are developed to study the supersonic flow over a backward-facing step. In the Cartesian coordinate system, the unsteady Euler equations are solved. The modified error indicator, in which the unified magnitude of density gradient and unified magnitude of gradient of vorticity magnitude are incorporated, is utilized to treat the new node spacing of mesh remeshing. To assess the accuracy of the extended locally implicit scheme with anisotropic dissipation model on quadrilateral-triangular mesh, two flow calculations which include the oblique-shock reflection at a wall and transonic flow around an NACA 0012 airfoil are performed. Based on the comparison with the related numerical and experimental data, the accuracy of the present approach is confirmed. According to the high-resolutional result on the adaptive mesh, the structure of backstep corner vortex, expansion wave and oblique shock wave is distinctly captured.

Copyright
COPYRIGHT: © The Society of Theoretical and Applied Mechanics, R.O.C. 2002
Corresponding author
* Associate Professor
References
Hide All
1McDonald, H., “Turbulent Shear Layer Reattachment with Special Emphasis on the Base Pressure Problem,” The Aeronautical Quarterly, 15, pp. 247–279 (1964).
2Rom, J., “Analysis of the Near Wake Pressure in Supersonic Flow Using the Momentum Integral Method,” Journal of Spacecraft and Rockets, 3(10), pp. 1504–1509 (1966).
3Samimy, M., Petrie, H. L. and Addy, A. L., “A Study of Compressible Turbulent Free Shear Layers Using Laser Doppler Velocimetry,” AIAA Paper 85-0177 (1985).
4Abu-Hijleh, B. and Samimi, M., “An Experimental Study of a Reattaching Supersonic Shear Layer,” AIAA Paper 89-1801 (1989).
5Arai, T., Sugiyama, H., Homareda, M. and Uno, N., “Turbulence Characteristics of Supersonic Boundary Layer Past a Backward Facing Step,” AIAA Paper 95-6126 (1995).
6Hartfield, R. J., Hollo, S. D. and McDaniel, J. C., “Planar Measurement Technique for Compressible Flows Using Laser Induced Iodine Fluorescence,” AIAA Journal, 31(3), pp. 483–490 (1993).
7Loth, E., Kailasanath, K. and Lohner, R., “Supersonic Flow over an Axisymmetric Backward-Facing Step,” Journal of Spacecraft and Rockets, 29(3), pp. 352–359 (1992).
8Kuruvila, G. and Anderson, J. D., “A Study on the Effects of Numerical Dissipation on the Calculations of Supersonic Separated Flow,” AIAA Paper 85-0301 (1985).
9Lombard, C. K., Luh, R. C.-C., Nagaraj, N., Bardina, J. and Venkatapathy, E., “Numerical Simulation of Backward Step and Jet Exhaust Flows”, AIAA Paper 86-0432 (1986).
10Yang, A. S., Hsieh, W. H. and Kuo, K. K., “Theoretical Study of Supersonic Flow Separation over a Rearward Facing Step,” AIAA Paper 91-2161 (1991).
11Tucker, P. K. and Shyy, W., “A Numerical Analysis of Supersonic Flow over an Axisymmetric Afterbody,” AIAA Paper 93-2347 (1993).
12Halupovich, Y., Natan, B. and Rom, J., “Numerical Solution of the Turbulent Supersonic Flow over a Backward Facing Step,” Fluid Dynamics Research, 24, pp. 251–273 (1999).
13Chen, Y. S., “Compressible and Incompressible Flow Computational with a Pressure Based Method,” AIAA Paper 89-0286 (1989).
14Sheng, C., Whitfield, D. L. and Anderson, W. K., “Multiblock Approach for Calculating Incompressible Fluid Flows on Unstructured Grids,” AIAA Journal, 37(2), pp. 169–176 (1999).
15Rausch, R. D., Batina, J. T. and Yang, H. T. Y., “Spatial Adaptation of Unstructured Meshes for Unsteady Aerodynamic Flow Computations,” AIAA Journal, 30(5), pp. 1243–1251 (1992).
16Hwang, C. J. and Wu, S. J., “Global and Local Remeshing Algorithms for Compressible Flows,” Journal of Computational Physics, 102(1), pp. 98–113 (1992).
17Webster, B. E., Shephard, M. S., Rusak, Z. and Flaherty, J. E., “Automated Adaptive Time-Discontinuous Finite Element Method for Unsteady Compressible Airfoil Aerodynamics,” AIAA Journal, 32(4), pp. 748–757 (1994).
18Braaten, M. E. and Connell, S. D., “Three-Dimensional Unstructured Adaptive Multigrid Scheme for the Navier-Stokes Equations,” AIAA Journal, 34(2), pp. 281–290 (1996).
19Delanaye, M. and Essers, J. A., “Quadratic-Reconsturction Finite Volume Scheme for Compressible Flows on Unstructured Adaptive Grids,” AIAA Journal, 35(4), pp. 631–639 (1997).
20Parthasarathy, V. and Kallinderis, Y., “Adaptive Prismatic-Tetrahedral Grid Refinement and Redistribution for Viscous Flows,” AIAA Journal, 34(4), pp. 707–716 (1996).
21Pirzadeh, S. Z., “A Solution-Adaptive Unstructured Grid Method by Grid Subdivision and Local Remeshing,” AIAA Journal, 37(5), pp. 818–824 (2000).
22Walsh, P. C. and Zingg, D. W., “Solution Adaptation of Unstructured Grids for Two-Dimensional Aerodynamic Computations,” AIAA Journal, 39(5), pp. 831–837 (2001).
23Reddy, K. C. and Jacock, J. L., “A Locally Implicit Scheme for the Euler Equations,” AIAA Paper 87-1144 (1987).
24Hwang, C. J. and Liu, J. L., “Inviscid and Viscous Solutions for Airfoil/Cascade Flows Using a Locally Implicit Algorithm on Adaptive Meshes,” Journal of Turbomachinery, 113(4), pp. 553–560 (1991).
25Jameson, A., Schmidt, W. and Turkel, E., “Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes,” AIAA Paper 81-1259 (1981).
26Mavriplis, D. J., “Accurate Multigrid Solution of the Euler Equations on Unstructured and Adaptive Meshes,” AIAA Journal, 28(2), pp. 213–221 (1990).
27Nayani, S. N., “A Locally Implicit Scheme for Navier-Stokes Equations,” Ph.D. Dissertation, The University of Tennessee, Knoxville, Tennessee (1988).
28Hwang, C. J. and Yang, S. Y., “Locally Implicit Total Variation Diminishing Schemes on Mixed Quadrilateral-Triangular Meshes,” AIAA Journal, 31(11), pp. 2008–2015 (1993).
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Mechanics
  • ISSN: 1727-7191
  • EISSN: 1811-8216
  • URL: /core/journals/journal-of-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *

CAPTCHA *

Skip to the audio challenge
×

Keywords:

Metrics

Abstract views

Total abstract views: 64 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 12th June 2018. This data will be updated every 24 hours.

Cancel
Confirm
×