Optimization of weighted ENO schemes for DNS of compressible turbulence

Selective monotonicity preservation in scalar advection

“…where s is zero in Eulerian implementations, and is the integer shift defined by (10) or (A.2) in semi-Lagrangian integrations.…”

“…Nevertheless in our tests, solutions to (1) obtained using a straight-forward implementation of the 5th-order WENO approximation [9] required much more computational time than an FCT approximation of roughly similar accuracy. WENO methods also suffer from a tendency for the weights of the various stencils to revert rather slowly to the underlying high-order method as the numerical resolution of a smooth function improves [10].…”

Recent Advances in DNS and LES. Proceedings of the Second AFOSR International Conference on DNS and LES Held at Rutgers - The State University of New Jersey, New Brunswick, New Jersey on June 7-9, 1999

“…The ENO scheme was designed for low dissipation by Weirs et al (1997) and provides shock-capturing, which is necessary at the Mach numbers considered. The time advancement technique is based on the DPLU relaxation method of Candler et al (1994) and was extended to second-order accuracy by Olejniczak and Candler (1997).…”

Detection and tracking of coherent features in a Mach 4 turbulent boundary layer

“…The domain size is 8δ × 2δ × 15δ and the grid resolution is ∆x + = ∆x u τ /ν = 15, ∆y + = 11, with ∆z + varying from 0.15 to 46 across the boundary layer (Martin and Candler 2000). The DNS was performed using a high-accuracy, low-dissipation, shock-capturing finitedifference method specifically designed for this type of problem (Weirs and Candler 1997 1990). In this paper we restrict our attention to three techniques for vortex identification which are associated with the velocity gradient tensor A ij = ∂u j /∂u i .…”