A stabilization technique targeting the Reynolds-averaged Navier–Stokes (RANS) equations is proposed to account for the multiscale nature of turbulence and high solution gradients. The objective is effective stabilization in computations with the advection-diffusion reaction equations, which are typical of the class of turbulence scale-determining equations where reaction-dominated effects strongly influence the boundary layer prediction in the presence of nonequilibrium phenomena. The stabilization technique, which is based on a variational multiscale method, includes a discontinuity-capturing term designed to be operative when the solution gradients are high and the reactionlike terms are dominant. As test problems, we use a 2D model problem and 3D flow computation for a linear compressor cascade.
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e-mail: alessandro.corsini@uniroma1.it
e-mail: menichini@dma.ing.uniroma1.it
e-mail: franco.rispoli@uniroma1.it
e-mail: tezduyar@rice.edu
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March 2009
Stabilized, Multiscale, And Multiphysics Methods In Fluid Mechanics
A Multiscale Finite Element Formulation With Discontinuity Capturing for Turbulence Models With Dominant Reactionlike Terms
A. Corsini,
A. Corsini
Department of Mechanics and Aeronautics,
e-mail: alessandro.corsini@uniroma1.it
University of Rome “La Sapienza
,” Via Eudossiana 18, Rome I00184, Italy
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F. Menichini,
F. Menichini
Department of Mechanics and Aeronautics,
e-mail: menichini@dma.ing.uniroma1.it
University of Rome “La Sapienza
,” Via Eudossiana 18, Rome I00184, Italy
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F. Rispoli,
F. Rispoli
Department of Mechanics and Aeronautics,
e-mail: franco.rispoli@uniroma1.it
University of Rome “La Sapienza
,” Via Eudossiana 18, Rome I00184, Italy
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A. Santoriello,
A. Santoriello
GE Oil and Gas
, Via Felice Matteucci 2, Firenze 50127, Italy
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T. E. Tezduyar
T. E. Tezduyar
Mechanical Engineering,
e-mail: tezduyar@rice.edu
Rice University
, MS 321 6100 Main Street, Houston, TX 77005
Search for other works by this author on:
A. Corsini
Department of Mechanics and Aeronautics,
University of Rome “La Sapienza
,” Via Eudossiana 18, Rome I00184, Italye-mail: alessandro.corsini@uniroma1.it
F. Menichini
Department of Mechanics and Aeronautics,
University of Rome “La Sapienza
,” Via Eudossiana 18, Rome I00184, Italye-mail: menichini@dma.ing.uniroma1.it
F. Rispoli
Department of Mechanics and Aeronautics,
University of Rome “La Sapienza
,” Via Eudossiana 18, Rome I00184, Italye-mail: franco.rispoli@uniroma1.it
A. Santoriello
GE Oil and Gas
, Via Felice Matteucci 2, Firenze 50127, Italy
T. E. Tezduyar
Mechanical Engineering,
Rice University
, MS 321 6100 Main Street, Houston, TX 77005e-mail: tezduyar@rice.edu
J. Appl. Mech. Mar 2009, 76(2): 021211 (8 pages)
Published Online: February 5, 2009
Article history
Received:
May 29, 2008
Revised:
August 18, 2008
Published:
February 5, 2009
Citation
Corsini, A., Menichini, F., Rispoli, F., Santoriello, A., and Tezduyar, T. E. (February 5, 2009). "A Multiscale Finite Element Formulation With Discontinuity Capturing for Turbulence Models With Dominant Reactionlike Terms." ASME. J. Appl. Mech. March 2009; 76(2): 021211. https://doi.org/10.1115/1.3062967
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