Stabilization parameters and smagorinsky turbulence model

Journal of Applied Mechanics, Transactions ASME

Volumn 70, Issue 1, 2003, Pages 2-9

  Akin, J E ^a   Tezduyar, T ^a   Ungor, M ^a   Mittal, S ^b  

^a Rice University   (United States)

^b INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE FLOW; FLOW PATTERNS; INCOMPRESSIBLE FLOW; MATRIX ALGEBRA; VECTORS; VISCOSITY;

EDDY VISCOSITY;

TURBULENCE;

EID: 0037231040     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1526569     Document Type: Conference Paper

References (15)

1. Hughes, T. J. R., and Brooks, A. N., 1979, "A Multi-dimensional Upwind Scheme With no Crosswind Diffusion," Finite Element Methods for Convection Dominated Flows, T. J. R. Hughes, ed., ASME, New York, AMD-Vol. 34, pp. 19-35.
2. Tezduyar, T. E., and Hughes, T. J. R., 1983, "Finite Element Formulations for Convection Dominated Flows With Particular Emphasis on the Compressible Euler Equations," AIAA Paper No. 83-0125.
3. Hughes, T. J. R., Franca, L. P., and Hulbert, G. M., 1989, "A New Finite Element Formulation for Computational Fluid Dynamics: VIII. The Galerkin/ Least-Squares Method for Advective-Diffusive Equations," Comput. Methods Appl. Mech. Eng., 73, pp. 173-189.
4. Tezduyar, T. E., 1991, "Stabilized Finite Element Formulations for Incompressible Flow Computations," Adv. Appl. Mech., 28, pp. 1-44.
5. Tezduyar, T., Aliabadi, S., Behr, M., Johnson, A., and Mittal, S., 1993, "Parallel Finite-Element Computation of 3D Flows," IEEE Computer, 26, pp. 27-36.
6. Brooks, A. N., and Hughes, T. J. R., 1982, "Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows With Particular Emphasis on the Incompressible Navier-Stokes Equations," Comput. Methods Appl. Mech. Eng., 32, pp. 199-259.
7. Tezduyar, T. E., and Park, Y. J., 1986, "Discontinuity Capturing Finite Element Formulations for Nonlinear Convection-Diffusion-Reaction Problems," Comput. Methods Appl. Mech. Eng., 59, pp. 307-325.
8. Tezduyar, T. E., and Ganjoo, D. K., 1986, "Petrov-Galerkin Formulations With Weighting Functions Dependent Upon Spatial and Temporal Discretization: Applications to Transient Convection-Diffusion Problems," Comput. Methods Appl. Mech. Eng., 59, pp. 49-71.
9. Franca, L. P., Frey, S. L., and Hughes, T. J. R., 1992, "Stabilized Finite Element Methods: I. Application to the Advective-Diffusive Model," Comput. Methods Appl. Mech. Eng., 95, pp, 253-276.
10. Tezduyar, T. E., and Osawa, Y., 2000, "Finite Element Stabilization Parameters Computed From Element Matrices and Vectors," Comput. Methods Appl. Mech. Eng., 190, pp. 411-430.
11. Tezduyar, T. E., 2001, "Adaptive Determination of the Finite Element Stabilization Parameters," Proceedings of the ECCOMAS Computational Fluid Dynamics Conference 2001 (CD-ROM), University of Wales, Swansea, Wales.
12. Tezduyar, T. E., 2001. "Stabilized Finite Element Formulations and Interface-Tracking and Interface-Capturing Techniques for Incompressible Flows," Proceedings of the Workshop on Numerical Simulations of Incompressible Flows, Half Moon Bay, CA, to appear.
13. Akin, J. E, 2001, Finite Element Analysis With Error Estimates, Academic Press, San Diego, CA, submitted for publication.
14. Smagorinsky, J., 1963, "General Circulation Experiments With the Primitive Equations," Mon. Weather Rev., 91, pp. 99-165.
15. Kato, C., and Ikegawa, M., 1991, "Large Eddy Simulation of Unsteady Turbulent Wake of a Circular Cylinder Using the Finite Element Method," Advances in Numerical Simulation of Turbulent Flows, I. Celik, T. Kobayashi, K. N. Ghia, and J. Kurokawa, eds., ASME, New York, FED-Vol. 117, pp. 49-56.