Optimization of weighted ENO schemes for DNS of compressible turbulence

V. Gregory Weirs, Graham V. Candler

Research output: Contribution to conferencePaperpeer-review

8 Scopus citations


A family of weighted ENO schemes is assessed for direct numerical simulations of compressible turbulence. Analysis and computational experiments show the schemes are limited for this application because of the numerical dissipation they introduce. The damping has two sources: the upwinded, optimal difference stencils, and the smoothness measurement. Bandwidth optimization techniques are used to develop symmetric optimal stencils with reduced dissipation and greater resolving efficiency. In particular a third-order, 6-point stencil and a fourth-order, 8-point stencil are obtained. Numerical testing validates the optimization. When the bandwidth-optimized stencils replace their order-optimized counterparts in the weighted ENO schemes, the smoothness measurement remains a source of dissipation. However, numerical experiments demonstrate that the bandwidth-optimized stencils improve the performance of the weighted ENO scheme.

Original languageEnglish (US)
Number of pages11
StatePublished - Jan 1 1997
Event13th Computational Fluid Dynamics Conference, 1997 - Snowmass Village, United States
Duration: Jun 29 1997Jul 2 1997


Other13th Computational Fluid Dynamics Conference, 1997
Country/TerritoryUnited States
CitySnowmass Village


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