TY - JOUR
T1 - On the suitability of second-order accurate discretizations for turbulent flow simulations
AU - Moin, P.
AU - Verzicco, R.
PY - 2016
Y1 - 2016
N2 - This contribution is a tribute to the foresight of Paolo Orlandi who demonstrated and advocated the suitability of second-order discretization methods for turbulent flow simulations. His pioneering work has shown how to combine cost effective and relatively easy to implement, central, second-order accurate finite difference schemes with the appropriate variable discretization and time integration methods to efficiently solve complex turbulent flows. In this communication, we first compare the cost and accuracy of Fourier-spectral methods and second order finite difference discretization for the solution of a simple variable coefficient convection problem. We then extend our analysis to the inviscid Taylor Green vortex. We conclude with a discussion of related findings from the literature including the accuracy requirements for large eddy simulation (LES) of turbulent flows.
AB - This contribution is a tribute to the foresight of Paolo Orlandi who demonstrated and advocated the suitability of second-order discretization methods for turbulent flow simulations. His pioneering work has shown how to combine cost effective and relatively easy to implement, central, second-order accurate finite difference schemes with the appropriate variable discretization and time integration methods to efficiently solve complex turbulent flows. In this communication, we first compare the cost and accuracy of Fourier-spectral methods and second order finite difference discretization for the solution of a simple variable coefficient convection problem. We then extend our analysis to the inviscid Taylor Green vortex. We conclude with a discussion of related findings from the literature including the accuracy requirements for large eddy simulation (LES) of turbulent flows.
KW - Energy conserving schemes
KW - Second-order finite-differences
KW - Staggered grids
UR - http://www.scopus.com/inward/record.url?scp=84973913801&partnerID=8YFLogxK
U2 - 10.1016/j.euromechflu.2015.10.006
DO - 10.1016/j.euromechflu.2015.10.006
M3 - Review article
AN - SCOPUS:84973913801
VL - 55
SP - 242
EP - 245
JO - European journal of mechanics. B, Fluids
JF - European journal of mechanics. B, Fluids
SN - 0997-7546
IS - Part 2
ER -