Discontinuous Galerkin method on unstructured hexahedral grids for 3D euler and Navier-Stokes equations

Collection of Technical Papers - 18th AIAA Computational Fluid Dynamics Conference

Volumn 1, Issue , 2007, Pages 678-697

  Wolkov, A ^a   Hirsch, Ch ^b,c   Leonard, B ^b,d  

^a CENTRAL AEROHYDRODYNAMIC INSTITUTE TSAGI   (Russian Federation)

^b Numeca International   (Belgium)

^c VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

^d Unstructured Technology Group   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; GRID COMPUTING; NAVIER STOKES EQUATIONS; PROGRAM PROCESSORS; THREE DIMENSIONAL;

ACOUSTIC WAVE; DISCONTINUOUS GALERKIN METHOD; EULER APPROXIMATION; HEXAHEDRAL GRIDS;

TURBULENT FLOW;

EID: 35648956091     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2007-4078     Document Type: Conference Paper

References (18)

1. Ladeinde, F., Alabi, K., Safta, C., Cai, X. and Johnson, F., "The First High-Order CFD Simulation of Aircraft: Challenges and Opportunities," 44th AIAA Aerospace Sciences Meeting and Exhibit, AIAA-Paper 2006-1526, Jan.2006.
2. Lele, S.K., "Compact finite difference schemes with spectral-like resolution," J. Comp. Phys., Vol. 103, pp. 16-42. 1992.
3. Tam, C.K.W. and Webb, J.C., "Dispersion-relation-preserving finite difference schemes for computational acoustics," J. Comp. Phys. Vol. 107, pp. 262, 1993.
4. Visbal, M. R. and Gaitonde, D. V., "On the use of higher-order finite-difference schemes on curvilinear and deforming meshes," J. Comp. Phys., Vol. 181, pp. 155-185, 2002.
5. Harten, A., Engquist, B., Osher, S. and Chakravarthy, S., "Uniformly high order essentially non-oscillatory schemes, III", J. Comp. Phys., Vol. 71, pp. 231-303, 1987.
6. Liu, X. D., Osher, S. and Chan, T., "Weighted essentially-non- oscillatory schemes," J. Comp. Phys., Vol. 115, pp. 200-212, 1994.
7. Jiang, G. and Shu, C.-W., "Efficient implementation of weighted ENO schemes," J. Comp. Phys., Vol. 126, pp. 202-228., 1996.
8. Bassi, F. and Rebay, S., "High-Order Accurate Discontinuous Finite Element Solution of the 2D Euler Equations," J. Comput. Phys., Vol. 138, pp. 251-285, 1997.
9. Cockburn, B., Karniadakis, G., and Shu, C.-W., "Discontinuous Galerkin Methods: Theory, Computation and Applications," Lecture Notes in Computational Science, Springer-Verlag, New York, NY, pp. 69-224, 1999.
10. Bassi, F., Crivellini, A., Di Pietro, D. A., Rebay, S., "A High-Order Discontinuous Galerkin Solver for 3D Aerodynamic Turbulent Flows," Proceedings ECCOMAS CFD 2006 Conference, P. Wesseling, E. Oñate and J. Périaux (Eds), Sept. 2006
11. Luo, H., Baum, J. D., Lohner, R., "A fast, p-Multigrid Discontinuous Galerkin Method for Compressible Flows at All Speeds," 44th AIAA Aerospace Sciences Meeting and Exhibit, 9-12, January 2006, Reno, Nevada, AIAA-Paper 2006-110, 2006.
12. Delanaye, M., Patel, A., Leonard, B., Hirsch, Ch., "Automatic Unstructured Hexahedral Grid Generation and Flow Solution," Proc. ECCOMAS CFD-2001 Conference, Swansea, Wales, UK, Sept. 2001.
13. Atkins, H. L., Shu, C. W., "Quadrature Free Implementation of Discontinuous Galerkin Method for Hyperbolic Equations," AIAA Journal, Vol. 36, No. 5, 1998.
14. Mavriplis, D. J. and Venkatakrishnan, V., "Agglomeration Multigrid for Two Dimensional Viscous Flows," Computers and Fluids, Vol. 24, No. 5, may 1995, pp. 553-570.
15. Helenbrook, B., Mavriplis D. J., Atkins H.L., "Analysis of "p"-multigrid for continuous and discontinuous finite element discretizations," Proceedings of the 16th AIAA Computational Fluid Dynamics Conference. AIAA 2003-3989, 2003.
16. Nastase, C.R., Mavriplis D.J., "Discontinuous Galerkin Methods Using an hp-Multigrid Solver for Inviscid Compressible Flows on Three-dimensional Unstructured Meshes," 44th AIAA Aerospace Sciences Meeting and Exhibit, 9-12, January 2006, Reno, Nevada, AIAA-Paper 2006-107, 2006.
17. Luo, H., Baum, J. D., Lohner, R., "A p-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids," J. Comput. Phys., 211:767-783, 2006.
18. Krivodonova, L., Berger, M. "High-order Implementation of Solid Wall Boundary Conditions in Curved Geometries," Journal of Computational Physics, Vol. 211, No. 2, pp. 492-512, 2006.