An adaptive high-order hybrid scheme for compressive, viscous flows with detailed chemistry

作者：Ziegler Jack L^*; Deiterding Ralf; Shepherd Joseph E; Pullin D I

来源：Journal of Computational Physics, 2011, 230(20): 7598-7630.

DOI：10.1016/j.jcp.2011.06.016

• Weighted essentially non-oscillatory
• Detonation
• Adaptive mesh refinement
• Navier-Stokes
• Direct numerical simulation
• Reacting compressible flow

A hybrid weighted essentially non-oscillatory (WENO)/centered-difference nume method, with low numerical dissipation, high-order shock-capturing, and structured a tive mesh refinement (SAMR), has been developed for the direct numerical simulatic the multicomponent, compressible, reactive Navier-Stokes equations. The method eni accurate resolution of diffusive processes within reaction zones. The approach comt time-split reactive source terms with a high-order, shock-capturing scheme specifi. designed for diffusive flows. A description of the order-optimized, symmetric, finite di ence, flux-based, hybrid WENO/centered-difference scheme is given, along with its inmentation in a high-order SAMR framework. The implementation of new technique discontinuity flagging, scheme-switching, and high-order prolongation and restrictic described. In particular, the refined methodology does not require upwinded WENO at refinement interfaces for stability, allowing high-order prolongation and thereby elimi ing a significant source of numerical diffusion within the overall code performance. A 5( of one-and two-dimensional test problems is used to verify the implementation, spe cally the high-order accuracy of the diffusion terms. One-dimensional benchmarks inc a viscous shock wave and a laminar flame. In two-space dimensions, a Lamb-Oseen vc and an unstable diffusive detonation are considered, for which quantitative convergen demonstrated. Further, a two-dimensional high-resolution simulation of a reactive It reflection phenomenon with diffusive multi-species mixing is presented.

• 出版日期2011-8-20