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TECHNICAL PAPERS

Stabilization Parameters and Smagorinsky Turbulence Model

[+] Author and Article Information
J. E. Akin, T. Tezduyar, M. Ungor

Mechanical Engineering, Rice University, MS 321, Houston, TX 77005

S. Mittal

Aerospace Engineering, IIT Kanpur, Kanpur 208016, India

J. Appl. Mech. 70(1), 2-9 (Jan 23, 2003) (8 pages) doi:10.1115/1.1526569 History: Received January 18, 2002; Revised June 11, 2002; Online January 23, 2003
Copyright © 2003 by ASME
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References

Figures

Grahic Jump Location
For linear elements, Galerkin (broken line) and SUPG (solid line) functions, assembled for a global node A
Grahic Jump Location
For quadratic elements, Galerkin (broken line) and SUPG (solid line) functions, assembled for a global node A. For nodes at element boundaries (top) and interiors (bottom).
Grahic Jump Location
For cubic elements, Galerkin (broken line) and SUPG (solid line) functions, assembled for a global node A. For nodes at element boundaries (top), upstream interiors (middle), and downstream interiors (bottom).
Grahic Jump Location
Variation of hUGN within linear and higher-order one-dimensional elements
Grahic Jump Location
For a square Lagrangian element, the element length calculated with different definitions and as function of advection direction
Grahic Jump Location
For a square serendipity element, the element length calculated with different definitions and as function of advection direction
Grahic Jump Location
For an equilateral triangular element, the element length calculated with different definitions and as function of advection direction
Grahic Jump Location
Flow past a cylinder. A close-up view of the finite element mesh with 14,960 nodes and 14,700 elements.
Grahic Jump Location
Flow past a cylinder at Re=3,000. Vorticity (top) and νSMAGSUPG with (middle) and without (bottom) the wall function in computation of νSMAG. In displaying νSMAGSUPG, shades of gray represent the values ranging from 0.00 (white) to 0.05, with 0.05 and higher values indicated by black.
Grahic Jump Location
Flow past a cylinder at Re=50,000. Vorticity (top) and νSMAGSUPG with (middle) and without (bottom) the wall function in computation of νSMAG. In displaying νSMAGSUPG, shades of gray represent the values ranging from 0.00 (white) to 0.05, with 0.05 and higher values indicated by black.

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