Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-27T19:20:40.389Z Has data issue: false hasContentIssue false
  • English
  • Français

Development of unstructured dynamic grids for solving unsteady two-dimensional Euler equations

Published online by Cambridge University Press:  04 July 2016

M. S. Kozic  and
D. Sredojevic
Get access Rights & Permissions [Opens in a new window]

Abstract

A method for the solution of the time dependent Euler equations on unstructured grids is presented for unsteady flows about oscillating aerofoils. The flow solver involves a finite volume spatial discretisation and a Runge-Kutta time-stepping scheme. A dynamic mesh algorithm is used for problems where the aerofoil moves and/or deforms. Steady and unsteady results are obtained for single and multi-element aerofoils.

Type
Research Article
Information
The Aeronautical Journal , Volume 102 , Issue 1014 , April 1998 , pp. 195 - 200
Copyright
Copyright © Royal Aeronautical Society 1998 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Ballhaus, W.F. and Goorjian, P.M. Implicit finite difference computations of unsteady transonic flows about airfoils, including the treatment of irregular Shockwave motions, AIAA J, December 1977, 15, pp 1728–1735.Google Scholar
2. Shankar, V., Ide, H., Gorski, J. and Osher, S. A fast time accurate full potential scheme, AIAA Paper 85-1512, Proceedings of the AIAA 7th Computational Dynamics Conference, Cincinnati, OH, July 1985, pp 214–227.Google Scholar
3. Bristeau, M.O., Pironneau, O., Glowinski, R., Periaux, J., Perrier, P. and Poirier, G. On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods (II). Application to transonic flow simulations, Proc 3rd International Conference on Finite Elements in Nonlinear Mechanics, FENOMECH 84, Stuttgart, 1984, ST DOTSINIS, J. (Ed), North Holland, 1985, pp 363–394.Google Scholar
4. Lohner, R. Finite elements in CFD: what lies ahead, Int J Num Methods in Eng, 1987, 24, pp 1741–1756.Google Scholar
5. Jameson, A., Baker, T.J. and Weatherill, N.P. Calculation of inviscid transonic flow over a complete aircraft, AIAA Paper 86-0103, Jan 1986.Google Scholar
6. Jameson, A. and Mavriplis, D.J. Finite volume solution of the two- dimensional Euler equations on a regular triangular mesh, AIAA J, April 1986, 24, pp 611–618.Google Scholar
7. Batina, J.T. Development of unstructured grid method for steady and unsteady aerodinamics analysis, International Congress of Aeronautical Sciences, 1990, pp 1833–1843.Google Scholar
8. Jameson, A., Schmidt, W. and Turkel, E. Numerical solution of the Euler equations by finite volume method using Runge-Kutta time stepping schemes, AIAA Paper 81-1259, 1989.Google Scholar
9. Stolcis, L. and Johnston, L.J. Solution of the Euler equations on unstructured grids for two-dimensional compressible flow, Aeronaut J, June/July 1990, 94, (936), pp 181–195.Google Scholar
10. Kozic, S.M. A Method for Solving Euler Equations Applied to Unsteady Two-Dimensional Transonic Flows, PhD thesis, Belgrade University, 1992.Google Scholar
11. Jaswon, M.A. and Symm, G.T. Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, 1977.Google Scholar
12. Schmidt, W. and Jameson, A. Euler solvers as an analysis tool for aircraft aerodynamics, Advances in Computational Transonics, Habashi, W.G. (Ed), 1985, pp 371–404.Google Scholar
13. Lerat, A. and Sides, J. A new finite volume method for the Euler equations with applications to transonic flows, Numerical Methods in Aeronautical Fluid Dynamics, Roe, P.L. (Ed), 1982, pp 245–288.Google Scholar
14. Jameson, A. Multigrid Algorithms for Compressible Flow Calculations, MAE Report 1743, 1985.Google Scholar
15. Mavripus, D.J. Solution of Two-Dimensional Euler Equations on Unstructured Triangular Meshes, PhD thesis, MAE Department, Princeton University, June 1987.Google Scholar
16. Pulliam, T. Implicit finite difference methods for the Euler equations, Advances in Computational Transonics, Habashi, W.G. (Ed), 1985, pp 503–542.Google Scholar
17. Wentz, W.H. and Seetharam, H.C. Development of a Fowler flap system for a high performance general aviation airfoil, NASA CR-2443, 1974.Google Scholar
18. Venkatakrishnan, V. and Jameson, A. Computation of unsteady tran sonic flows by the solution of Euler equations, AIAA J, 1988, 26, (8), pp 974–981.Google Scholar
19. Stevens, W.A., Goradia, S.H. and Braden, J.A. Mathematical model for two-dimensional multi-component airfoils in viscous flow, NASA CR-1843, July 1971.Google Scholar
20. Landon, R.H. NACA 0012 oscillating and transient pitching. Data Set 3 in AGARD-R-702, Compendium of Unsteady Aerodynamic Measure ments, August 1982.Google Scholar