Simulations of viscous supersonic flows on unstructured h-p meshes

35th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1997, Pages

  Lomtev, Igor ^a   Karniadakis, George Em ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENCH-MARK PROBLEMS; FLOW PAST A CYLINDER; HIGH-ORDER ACCURACY; NEW HIGH; STEEP GRADIENTS; UNSTEADY VISCOUS FLOW; UNSTRUCTURED MESHES; VORTEX STREET;

AEROSPACE ENGINEERING;

EID: 84983099481     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (28)

1. T.J. Barth. Recent developemets in high order k-exact reconstruction on unstructured meshes. AIAA-93-0668, 1993.
2. R.A. Shapiro and E.M. Murman. Higherorder and 3-d finite element methods for the Euler equations. AIAA-89-0655.
3. K. Morgan, O. Hassan, and J. Peraire. An unstructured grid algorithm for the solution of the Maxwell’s equations in the time domain. Int. J. Num. Meih. Fluids, 19: 849, 1994.
4. H.O. Kreiss and J. Olinger. Methods for the approximate solution of timedependent problems. GARP Publ. Ser. vol. 10, GARP, Geneva, 1973.
5. G.E. Karniadakis and S.A. Orszag. Nodes, modes and flow codes. Physics Today, 46: 34, March 1993.
6. S.K. Lele. Compact finite difference schemes with spectral like resolution. J. Comp. Phy., 103: 16, 1992.
7. A.T. Patera. A spectral method for fluid dynamics: Laminar flow in a channel expansion. J. Comp. Phys., 54: 468, 1984.
8. G.E. Karniadakis, E.T. Bullister, and A.T. Patera. A spectral element method for solution of two- and three-dimensional time dependent Navier-Stokes equations. In Finite Element Methods for Nonlinear Problems, Springer-Verlag, page 803, 1985.
9. N.P. Weatherill and O. Hassan. Efficient three-dimensional delaurnay triangularisatioii with automatic point creation and imposed boundary constaints. Int. J. Num. Meth. Eng., 37: 2005, 1994.
10. D.J. Mavriplis and V. Venkatakrishnan. A unified multigrid solver for the Navier-Stokes equations on mixed element meshes. In AIAA-95-1666, San Diego, CA, 1995.
11. V. Parthasarathy, Y. Kallindereris, and K. Nakajima. Hybrid adaption method and directional viscous multigrid with presmatic-tetrahedral meshes. In AIAA-95-0670, Rmo, NV, 1995.
12. S.J. Sherwin and G.E. Karniadakis. A triangular spectral element method; applications to the incompressible Navier-Stokes equations. Comp. Meth. Appl. Mech. Eng., 23: 83, 1995.
13. S.J. Sherwin and G.E. Karniadakis. Tetrahedral hp finite elements: Algorithms and flow simulations. J. Comp. Phys., 122: 191, 1995.
14. M. Dubiner. Spectral methods on triangles and other domains. J. Sci. Comp., 6: 345, 1991.
15. B. Cockburn and CV-W. Shu. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework. Math. Comp., 52: 411-435, 1989.
16. B. Cockburn, S.-Y. Lin, and C.-W. Shu. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One- dimensional systems. J. Comp. Phys., 84: 90-113, 1989.
17. B. Cockburn, S. Hou, and C.-W. Shu. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case. J. Comp. Phys., 54: 545, 1990.
18. B. Cockburn and C.-W. Shu. Pl-RKDG method for two-dimensional Euler equations of gas dynamics. In Proc. Fourth Int. Symp. on CFD, UC Davis, 1991.
19. R. Biswas, K. Devine, and J. Flaherty. Parallel, adaptive finite element methods for conservation laws. Appl. Num. Math., 14: 255-283, 1994.
20. Rodriguez. The circular cylinder in subsonic and transonic flow. AIAA Journal, 22(12): 1713-1718, 1984.
21. I. Lomtev, C.B. Quillen, and G.E. Karniadakis. Spectral/hp methods for viscous compressible flows on unstructured 2d meshes. J. Comp. Phys., submitted, 1997.
22. J. Giannakouros and G.E. Karniadakis. A spectral element-FCT method for the compressible Euler equations. J. Comp. Phys., 115: 65, 1994.
23. Y. Maday and A.T. Patera. Spectral element methods for the Navier-Stokes equations. In Proc. State of the Art Surveys in Computational Mechanics, ASME, 1987.
24. S.J. Sherwin and G.E. Karniadakis. A new triangular and tetrahedral basis for highorder finite element methods. Int. J. Num. Meth. Eng., 38: 3775, 1995.
25. M. Hammache and M. Gharib. An experimental study of the parallel and oblique vortex shedding from circular cylinders. J. Fluid Mcch., 232: 567-590, 1991.
26. R.D. Henderson. Details of the drag curve near the onset of vortex shedding. Phys. Fluids, 7(9): 1-3, 1995.
27. C.H.K. Williamson and A. Roshko. Measurements of base pressure in the wake of a cylinder at low Reynolds number. Z. Flugwiss. Weltraumforsch, 14: 38, 1990.
28. A. Beskok and G.E. Karniadakis. A collocation spectral element method for compressible viscous flows, in progress, 1997.