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

By M. Pino Martín, Ellen M. Taylor, Minwei Wu, V. Gregory Weirs. Journal of Computational Physics, 2006

497 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/4630f84734740a79ce6b3cdb1d7f3da6a52efa2b

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

An adaptive central-upwind weighted essentially non-oscillatory scheme (2010, methodology): “1, as the scheme of maximum order with optimal weights [13].”
A multiphase model for compressible granular–gaseous flows: formulation and initial tests (2016, methodology): “The TVD slope limiter used in this work is from Houim & Kuo (2011) and Kim & Kim (2005), φTVD =max [ 0,min ( G , G Qi+1 −Qi Qi −Qi−1 , 2 Q̂Li+1/2 −Qi Qi −Qi−1 )] , (B 24) where Q̂Li+1/2 is the original left-biased interpolated variable using WENO and G =max[2(1−Dζ 2), 0].”
Optimized sixth‐order monotonicity‐preserving scheme by nonlinear spectral analysis (2013, background): “A lot of efforts have been devoted to the lower dissipation properties of WENO schemes, such as hybrid schemes [6–10] or optimized WENO schemes [11, 12].”
A high‐resolution hybrid scheme for hyperbolic conservation laws (2015, methodology): “[3] used the downwind stencil to take off the excessive dissipation of upwind WENO schemes and reset the optimal weights by bandwidth optimization.”
THC: a new high-order finite-difference high-resolution shock-capturing code for special-relativistic hydrodynamics (2012, methodology): “Among the different reconstruction schemes that we implemented are the classical monotonicity-preserving (MP) MP5 scheme (Suresh & Huynh 1997; Mignone et al. 2010), the weighted essentially non oscillatory (WENO) schemes WENO5 and WENO7 (Liu et al. 1994; Jiang et al. 1996; Shu 1997) and two bandwidt”
Direct numerical simulation of hypersonic turbulent boundary layers. Part 1. Initialization and comparison with experiments (2007, methodology): “The third-order-accurate bandwidth-optimized WENO scheme (Weirs & Candler 1997; Martin et al. 2006) was designed for low dissipation and high bandwidth and provides shock-capturing, which is necessary at the Mach numbers that we consider.”
Direct numerical simulation of supersonic turbulent boundary layer over a compression ramp (2007, methodology): “Given the stringent constrains in grid size for affordable DNS of STBLI, the numerical dissipation of the original WENO (weighted essentially nonoscillatory) method [14] [15] was found responsible for these discrepancies [16].”
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves (2010, methodology): “, based on the weighted essentially non-oscillatory (WENO) schemes of Jiang and Shu [21], possibly with improved wavenumber properties [10,33].”
Low-frequency dynamics in a shock-induced separated flow (2016, methodology): “As described in Martín et al. (2006) and Taylor, Wu & Martín (2007), the WENO scheme is optimized to reduce both the linear and nonlinear errors that are present in the original WENO formulation introduced by Jiang & Shu (1996).”