Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves

By Eric Johnsen, Johan Larsson, Ankit V. Bhagatwala, William H. Cabot, Parviz Moin, B. Olson, P. Rawat, Santhosh K. Shankar, Björn Sjögreen, H. C. Yee and 2 more. Journal of Computational Physics, 2010

420 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/3711ceaf62bce9f6d0ae8e86e84ca6a5cf84083f

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Citations in the corpus

Reynolds- and Mach-number effects in canonical shock–turbulence interaction (2013, methodology): “The numerical method has been verified and validated on several problems (cf. Johnsen et al. 2010), including the canonical shock–turbulence interaction problem (Larsson & Lele 2009).”
Direct Numerical Simulation on the Receptivity, Instability, and Transition of Hypersonic Boundary Layers (2012, background): “Other highorder shock-capturing schemes include hybrid WENO/central-difference schemes, schemes with artificial diffusivity, and adaptive characteristic-based filter schemes that can capture shock waves by introducing local numerical dissipation ( Johnsen et al. 2010).”
Breakdown mechanisms and heat transfer overshoot in hypersonic zero pressure gradient boundary layers (2013, background): “The advantage of compact finite difference schemes with localized artificial diffusivity over other high-order methods such as WENO for compressible turbulence simulations is demonstrated by Johnsen et al. (2010).”
An efficient class of WENO schemes with adaptive order (2016, background): “[20] for further information on low dispersion schemes for turbulence.”
Generalized conservative approximations of split convective derivative operators (2010, result): “[13], the comparison of spectra from under-resolved calculations and DNS, as reported in Fig.”
THC: a new high-order finite-difference high-resolution shock-capturing code for special-relativistic hydrodynamics (2012, methodology): “Our analysis is not meant to be a systematic assessment of the accuracy of these methods for direct numerical simulations of compressible relativistic turbulence, as done, for instance by Kitsionas et al. (2009), or Johnsen et al. (2010) in the case of classical turbulence.”
Numerical Methods for High-Speed Flows (2011, background): “While the former approach very often guarantees more accurate representations of shocked flows (Johnsen et al., 2010), it is only feasible in cases where the shock topology is extremely simple, and no shock wave forms during the calculation.”