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STABILIZED, MULTISCALE, AND MULTIPHYSICS METHODS IN FLUID MECHANICS

A Multiscale Finite Element Formulation With Discontinuity Capturing for Turbulence Models With Dominant Reactionlike Terms

[+] Author and Article Information
A. Corsini

Department of Mechanics and Aeronautics, University of Rome “La Sapienza,” Via Eudossiana 18, Rome I00184, Italyalessandro.corsini@uniroma1.it

F. Menichini

Department of Mechanics and Aeronautics, University of Rome “La Sapienza,” Via Eudossiana 18, Rome I00184, Italymenichini@dma.ing.uniroma1.it

F. Rispoli

Department of Mechanics and Aeronautics, University of Rome “La Sapienza,” Via Eudossiana 18, Rome I00184, Italyfranco.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 77005tezduyar@rice.edu

J. Appl. Mech 76(2), 021211 (Feb 05, 2009) (8 pages) doi:10.1115/1.3062967 History: Received May 29, 2008; Revised August 18, 2008; Published February 05, 2009

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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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Scalar test case. Problem statement, and grid and boundary conditions.

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Figure 2

Scalar test case. (a) Exact solution, (b) SUPG, (c) SUPG+DRDJ, and (d) VSGS+DRDJ.

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Figure 3

Scalar test case. Profiles extracted at (a) second and (b) third rows of nodes.

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Figure 4

Cascade geometry and computational grid

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Figure 5

Static pressure coefficient isolines in the tip gap. (a) Experiments (19), (b) SUPG+DRDJ, and (c) VSGS+DRDJ.

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Figure 6

Streamlines and flow patterns in the tip gap. (a) Experiments (19), (b) SUPG+DRDJ, and (c) VSGS+DRDJ (Sp: saddle point; PV: passage vortex; TL: tip leakage; HSV: horse-shoe vortex).

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Figure 7

TI distribution and tip leakage vortices detection. (a) SUPG+DRDJ and (b) VSGS+DRDJ.

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Figure 8

Normalized turbulent viscosity νt/ν distribution. (a) SUPG+DRDJ and (b) VSGS+DRDJ.

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