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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Ziegler, Jack L.¹  Deiterding, Ralf²  Shepherd, Joseph E.¹  Pullin, D. I.¹ 

[1] CALTECH, Pasadena, CA 91125 USA

[2] Oak Ridge Natl Lab, Oak Ridge, TN 37831 USA

关键词: Weighted essentially non-oscillatory;    Detonation;    Adaptive mesh refinement;    Navier-Stokes;    Direct numerical simulation;    Reacting compressible flow;   

DOI  :  10.1016/j.jcp.2011.06.016

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier Inc. All rights reserved.

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