Large eddy simulation of compressible turbulent channel flow with spectral difference method

47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition

Volumn , Issue , 2009, Pages

  Liang, Chunlei ^a   Premasuthan, Sachin ^a   Jameson, Antony ^a   Wang, Z J ^b  

^a Department of Aeronautics and Astronautics Department of Mechanical Engineering and Industrial for Computational and Mathematical Engineering   (United States)

^b Iowa State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULAR CYLINDERS; LARGE EDDY SIMULATION;

ANALYTIC SOLUTION; CONTINUOUS FIELDS; INVISCID FLOWS; SPATIAL ACCURACY; SPECTRAL DIFFERENCE METHODS; TURBULENT CHANNEL FLOWS; UNSTRUCTURED HEXAHEDRAL GRID; VELOCITY PROFILES;

CHANNEL FLOW;

EID: 78549245513     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2009-402     Document Type: Conference Paper

References (25)

1. F.Bassi and S. Rebay, High-order accurate discontinuous finite element solution of the 2D euler equations, Journal of Computational Physics, Vol. 138, pp. 251-285, 1997.
2. G. N. Coleman, J. Kim, & R. D. Moser, A numerical study of turbulent supersonic isothermal-wall channel flow, Journal of Fluid Mechanics, Vol 305, pp. 159-183, 1995.
3. J. Gullbrand and F. K. Chow, The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering, Journal of Fluid Mechanics, Vol 495, pp. 323-341, 2003.
4. A. Harten, P. D. Lax and B. van Leer, On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, SIAM Rev, Vol 25, pp. 35-61, 1983.
5. B. T. Helenbrook and H. L. Atkins, Application of p-Multigrid to Discontinuous Galerkin formulations of the Poisson equation, AIAA Journal, Vol. 44, pp. 566-575, 2006.
6. P. Huang, G. N. Coleman and P. Bradshaw, Compressible turbulent channel flow: DNS results and modelling, Journal of Fluid Mechanics, Vol 305, pp. 185-218, 1995.
7. H.T. Huynh, A Flux Reconstruction Approach to High-Order Schemes Including Discontinuous Galerkin Methods, AIAA paper, AIAA-2007-4079, 2007.
8. A. Jameson, Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings, AIAA paper, AIAA-1991-1596, 1991.
9. C. Liang, R. Kannan & ZJ Wang, A p-Multigrid Spectral Difference Method with explicit and implicit smoothers on unstructured triangular grids, Computers and Fluids, Vol. 38, pp. 254-265, 2009.
10. M. S. Liou and C. Steffen, A New Flux Splitting Scheme, J. Comput. Phys., Vol. 107, pp. 23-39, 1993.
11. Y. Liu, M. Vinokur, & Z. J. Wang, Spectral difference method for unstructured grids I: Basic formulation, J. of Comput. Phys., Vol. 216, pp. 780-801, 2006.
12. Y. Liu, M. Vinokur, & Z. J. Wang, Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems, Journal of Computational Physics, Vol. 212, pp 454-472, 2006. (Pubitemid 41799933)
13. Y. Morinishi, S. Tamano and K. Nakabayashi, A DNS algorithm using B-spline collocation method for compressible turbulent channel flow, Computers and Fluids, Vol 32, pp. 751-776, 2003.
14. Y. Morinishi, S. Tamano and K. Nakabayashi, Direct numerical simulation of compressible turbulent channel flow between adiabatic and isothermal walls, Journal of Fluid Mechanics, Vol 502, pp. 273-308, 2004.
15. R. Moser, J. Moser and N. Mansour (1999) DNS of turbulent channel flow up to ReT = 590. Physics of Fluids, Vol 11, pp. 943-945, 1999.
16. P. L. Roe, Approximate riemann solvers, parameter vectors and difference schemes, Journal of Computational Physics, Vol 43, pp. 357-372, 1981.
17. V.V. Rusanov, Calculation of interaction of non-steady shock waves with obstacles, Journal of Computational and Mathematical Physics USSR, Vol. 1, pp. 267279, 1961.
18. J. Smagorinsky, General Circulation Experiments with the Primitive Equations. I. The Basic Experiment, Mon. Weather Rev., Vol. 91, pp. 99164, 1963.
19. R. J. Spiteri, S. J. Ruuth, A new class of optimal high-order strong-stability-preserving time discretization methods, SIAM J. Numer. Anal., Vol 40, pp 469-491, 2002.
20. J. L. Steger and R. F. Warming, Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods, Journal of Compt. Physics, Vol 40, pp. 263-293, 1981.
21. Y. Sun, Z. J. Wang, & Y. Liu, Efficient Implicit LU-SGS Algorithm for high-order spectral difference method on unstructured hexahedral grids, AIAA paper, AIAA-2007-313, 2007.
22. Y. Sun, Z. J. Wang, & Y. Liu, High-order multidomain spectral difference method for the Navier-Stokes equations on unstructured hexahedral grids, Communication in Computational Physics, Vol. 2, pp. 310-333, 2007.
23. L. H. Thomas, The stability of plane Poiseuille flow, Physical Review, Vol 91, pp. 780-783, 1953.
24. Z.J. Wang, Y. Liu, G. May and A. Jameson, Spectral Difference Method for Unstructured Grids II: Extension to the Euler Equations, Journal of Scientific Computing, Vol. 32, pp. 45-71, 2007. (Pubitemid 46981135)
25. Z. J. Wang & Y. Liu, Extension of the spectral volume method to high-order boundary representation, Journal of Computational Physics, Vol. 211, pp. 154-178, 2006.