Title
A spectral vanishing viscosity for the LES of turbulent flows within rotating cavities
Abstract
A spectral vanishing viscosity technique (SVV) is presented for the simulation of 3D turbulent incompressible flows within a rotor-stator cavity. One characteristic of this technique is that the SVV is active only for the short length scales, a feature which is reminiscent of Large Eddy Simulation models. The Spectral Vanishing Viscosity, first introduced by E. Tadmor for the inviscid Burgers equation [E. Tadmor, Convergence of spectral methods for nonlinear conservation laws, SIAM J. Numer. Anal. 26 (1) (1989) 30], is incorporated into the cylindrical Navier-Stokes equations written in velocity pressure formulation. The second-order operator involved in the SVV-method is implemented in a Chebyshev-collocation Fourier-Galerkin pseudo-spectral code. The SVV is shown to lead to stable discretizations without sacrificing the formal accuracy, i.e., exponential convergence, in the proposed discretization. LES results are presented here for rotational Reynolds numbers ranging from Re=7x104 to Re=7x105. Turbulent quantities are shown to compare very favorably with results of direct numerical simulation (DNS) and experimental measurements.
Year
DOI
Venue
2007
10.1016/j.jcp.2007.05.023
J. Comput. Physics
Keywords
Field
DocType
viscosity technique,large eddy simulation,e. tadmor,spectral method,exponential convergence,turbulent quantity,spectral vanishing viscosity,rotating flows,direct numerical simulation,turbulent incompressible flow,large eddy simulation model,chebyshev-collocation fourier-galerkin pseudo-spectral code,les result,turbulent flow,incompressible flow,burgers equation,length scale,reynolds number,second order
Direct numerical simulation,Inviscid flow,Reynolds number,Large eddy simulation,Mathematical analysis,Turbulence,Burgers' equation,Spectral method,Mathematics,Navier–Stokes equations
Journal
Volume
Issue
ISSN
226
2
Journal of Computational Physics
Citations 
PageRank 
References 
5
1.32
1
Authors
2
Name
Order
Citations
PageRank
E. Severac151.32
E. Serre2162.95