For the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/Petrov-Galerkin formulations for flow problems, we present in this paper a comparative study of the stabilization parameters defined in different ways. The stabilization parameters are closely related to the local length scales (“element length”), and our comparisons include parameters defined based on the element-level matrices and vectors, some earlier definitions of element lengths, and extensions of these to higher-order elements. We also compare the numerical viscosities generated by these stabilized formulations with the eddy viscosity associated with a Smagorinsky turbulence model that is based on element length scales.
Stabilization Parameters and Smagorinsky Turbulence Model
Contributed by the Applied Mechanics Division of the THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Jan. 18, 2002; final revision, June 11, 2002. Associate Editor: L. T. Wheeler. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Department of Mechanical and Environmental Engineering University of California—Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Akin , J. E., Tezduyar , T., Ungor, M., and Mittal, S. (January 23, 2003). "Stabilization Parameters and Smagorinsky Turbulence Model ." ASME. J. Appl. Mech. January 2003; 70(1): 2–9. https://doi.org/10.1115/1.1526569
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