A parallel discontinuous Galerkin code for the Navier-Stokes equations

Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting

Volumn 2, Issue , 2006, Pages 1391-1407

  Landmann, B ^a,b   Kessler, M ^a   Wagner, S ^a,b   Kramer E ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRFOILS; BOUNDARY LAYERS; COMPRESSIBLE FLOW; GRADIENT METHODS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; TURBULENCE MODELS;

CYLINDER FLOW; GALERKIN CODES; HIDING COMMUNICATION LATENCY;

GALERKIN METHODS;

EID: 34250724371     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-111     Document Type: Conference Paper

References (21)

1. F. Bassi and S. Rebay. A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Journal of Computational Physics, 131(2), 1997.
2. F. Bassi and S. Rebay. High-order accurate discontinuous finite element solution of the 2D Euler equations. J. Comput. Phys., 138:251-285, 1997.
3. F. Bassi and S. Rebay. A high order discontinuous Galerkin method for compressible turbulent flows. In B. Cockburn, G. E. Karniadakis, and C.-W. Shu, editors, Discontinuous Galerkin Methods, pages 77-88. Springer, 2000.
4. F. Bassi and S. Rebay. Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and k-ω turbulence model equations. Journal of Computers & Fluids, 34:507-540, 2005.
5. B. Cockburn and C.-W. Shu. The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal., 35:2440-2463, 1998.
6. B. Cockburn and C.W. Shu. The runge-kutta discontinuous Galerkin finite element method for conservation laws v: Multidimensional systems. Journal of Computational Physics, 1998.
7. M. Delanaye and Y. Liu. Quadratic reconstruction finite volume schemes on 3d arbitrary unstructured polyhedral grids. AIAA Paper, 99 (3259), 1999.
8. Mark Drela and Michael B. Giles. Viscous-inviscid analysis of transonic and low reynolds number airfoils. AIAA Journal, 25(10):1347-1355, 1987.
9. W. Haase, E. Chaput, E. Elsholz, M. Leschziner, and U. Müller. ECARP - European Computational Aerodynamics Research Project: Validation of CFD Codes and Assessment of Turbulence Models, volume 58 of Notes on Numerical Fluid Mechanics. Viehweg, 1997.
10. A. Harten, P.D. Lax, and B. van Leer. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM review, 1983.
11. O. Inoue and N. Hatakeyama. Sound generation by a two-dimensional circular cylinder in a uniform flow. J. of Fluid Mechanics, 471:285-314, 2002.
12. G. E. Karniadakis and S. J. Sherwin, editors. Spectral/hp Element Methods in CFD. Oxford University Press, 1999.
13. D.J. Mavriplis and A Jameson. Multigrid solution of the Navier-Stokes equations on triangular meshes. AIAA paper 89-0120, 1989.
14. P.L. Roe. Approximate riemann solvers, parameter vectors and difference schemes. Journal of Compuational Physics, 1981.
15. Pierre Sagaut. Large Eddy Simulation for Incompressible Flows. Springer, 2002.
16. P. Spalart and S. Allmaras. A one-equation turbulence model for aerodynamic flows. Technical report, AIAA-92-0439, 1992.
17. P. R. Spalart, W-H. Jou, M. Strelets, and S.R. Allmaras. Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. In Advances in DNS/LES, 1997.
18. J. J. W. van der Vegt and H. van der Ven. Discontinuous Galerkin finite element method with anisotropic local grid refinement for inviscid compressible flows. J. Comput. Phys., 141(1):46-77, 1998.
19. J.J.W. van der Vegt and H. van der Ven. Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows, part I. general formulation, to appear in J. Comput. Phys., 2002.
20. D.C. Wilcox. Turbulence Modeling for CFD, 2nd edn. DCW Industries, La Canada., 1998.
21. C.H.K. Williamson. Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low reynolds numbers. J. of Fluid Mechanics, 206:579-627, 1989.