TY - JOUR

T1 - Large eddy simulation of transitional flow in an idealized stenotic blood vessel

T2 - Evaluation of subgrid scale models

AU - Pal, Abhro

AU - Anupindi, Kameswararao

AU - Delorme, Yann

AU - Ghaisas, Niranjan

AU - Shetty, Dinesh A.

AU - Frankel, Steven H.

PY - 2014/7

Y1 - 2014/7

N2 - In the present study, we performed large eddy simulation (LES) of axisymmetric, and 75% stenosed, eccentric arterial models with steady inflow conditions at a Reynolds number of 1000. The results obtained are compared with the direct numerical simulation (DNS) data (Varghese et al., 2007, Direct Numerical Simulation of Stenotic Flows. Part 1. Steady Flow, J. Fluid Mech., 582, pp. 253-280). An inhouse code (WenoHemo) employing high-order numerical methods for spatial and temporal terms, along with a 2nd order accurate ghost point immersed boundary method (IBM) (Mark, and Vanwachem, 2008, Derivation and Validation of a Novel Implicit Second-Order Accurate Immersed Boundary Method, J. Comput. Phys., 227(13), pp. 6660-6680) for enforcing boundary conditions on curved geometries is used for simulations. Three subgrid scale (SGS) models, namely, the classical Smagorinsky model (Smagorinsky, 1963, General Circulation Experiments With the Primitive Equations, Mon. Weather Rev., 91(10), pp. 99-164), recently developed Vreman model (Vreman, 2004, An Eddy-Viscosity Subgrid-Scale Model for Turbulent Shear Flow: Algebraic Theory and Applications, Phys. Fluids, 16(10), pp. 3670-3681), and the Sigma model (Nicoud et al., 2011, Using Singular Values to Build a Subgrid-Scale Model for Large Eddy Simulations, Phys. Fluids, 23(8), 085106) are evaluated in the present study. Evaluation of SGS models suggests that the classical constant coefficient Smagorinsky model gives best agreement with the DNS data, whereas the Vreman and Sigma models predict an early transition to turbulence in the poststenotic region. Supplementary simulations are performed using Open source field operation and manipulation (OpenFOAM) (OpenFOAM, http://www.openfoam.org/) solver and the results are inline with those obtained with WenoHemo.

AB - In the present study, we performed large eddy simulation (LES) of axisymmetric, and 75% stenosed, eccentric arterial models with steady inflow conditions at a Reynolds number of 1000. The results obtained are compared with the direct numerical simulation (DNS) data (Varghese et al., 2007, Direct Numerical Simulation of Stenotic Flows. Part 1. Steady Flow, J. Fluid Mech., 582, pp. 253-280). An inhouse code (WenoHemo) employing high-order numerical methods for spatial and temporal terms, along with a 2nd order accurate ghost point immersed boundary method (IBM) (Mark, and Vanwachem, 2008, Derivation and Validation of a Novel Implicit Second-Order Accurate Immersed Boundary Method, J. Comput. Phys., 227(13), pp. 6660-6680) for enforcing boundary conditions on curved geometries is used for simulations. Three subgrid scale (SGS) models, namely, the classical Smagorinsky model (Smagorinsky, 1963, General Circulation Experiments With the Primitive Equations, Mon. Weather Rev., 91(10), pp. 99-164), recently developed Vreman model (Vreman, 2004, An Eddy-Viscosity Subgrid-Scale Model for Turbulent Shear Flow: Algebraic Theory and Applications, Phys. Fluids, 16(10), pp. 3670-3681), and the Sigma model (Nicoud et al., 2011, Using Singular Values to Build a Subgrid-Scale Model for Large Eddy Simulations, Phys. Fluids, 23(8), 085106) are evaluated in the present study. Evaluation of SGS models suggests that the classical constant coefficient Smagorinsky model gives best agreement with the DNS data, whereas the Vreman and Sigma models predict an early transition to turbulence in the poststenotic region. Supplementary simulations are performed using Open source field operation and manipulation (OpenFOAM) (OpenFOAM, http://www.openfoam.org/) solver and the results are inline with those obtained with WenoHemo.

UR - http://www.scopus.com/inward/record.url?scp=84901459260&partnerID=8YFLogxK

U2 - 10.1115/1.4027610

DO - 10.1115/1.4027610

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AN - SCOPUS:84901459260

SN - 0148-0731

VL - 136

JO - Journal of Biomechanical Engineering

JF - Journal of Biomechanical Engineering

IS - 7

M1 - 071009

ER -