Accession Number:

ADP013636

Title:

Direct Numerical Simulation of Turbulence Using Symmetry-Preserving Discretization

Descriptive Note:

Conference paper

Corporate Author:

GRONINGEN UNIV (NETHERLANDS) RESEARCH INST FOR MATHEMATICS AND COMPUTING SCIENCE

Personal Author(s):

Report Date:

2001-08-01

Pagination or Media Count:

12.0

Abstract:

We propose to perform turbulent flow simulations in such a manner that the difference operators do have the same symmetry properties as the underlying differential operators, i.e. the convective operator is represented by a skew-symmetric matrix and the diffusive operator is approximated by a symmetric, positive-definite matrix. Such a symmetry-preserving discretization of the Navier-Stokes equations is stable on any grid, and conserves the total mass, momentum and kinetic energy when the physical dissipation is turned off. Its accuracy is tested for a turbulent channel flow at Re--5,600 based on the channel width and the mean bulk velocity by comparing the results to those of physical experiments and previous numerical studies. This comparison shows that with a fourth-order, symmetry-preserving method a 64 x 64 x 32 grid suffices to perform an accurate direct numerical simulation.

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE