A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence

  • Authors:
  • M. P. Martín;E. M. Taylor;M. Wu;V. G. Weirs

  • Affiliations:
  • Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, United States;Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, United States;Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, United States;Sandia National Laboratories, Albuquerque, NM, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2006

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Abstract

Two new formulations of a symmetric WENO method for the direct numerical simulation of compressible turbulence are presented. The schemes are designed to maximize order of accuracy and bandwidth, while minimizing dissipation. The formulations and the corresponding coefficients are introduced. Numerical solutions to canonical flow problems are used to determine the dissipation and bandwidth properties of the numerical schemes. In addition, the suitability and accuracy of the bandwidth-optimized schemes for direct numerical simulations of turbulent flows is assessed in decaying isotropic turbulence and supersonic turbulent boundary layers.