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Nonlinear cellular instabilities of planar premixed flames: numerical simulations of the Reactive Navier-Stokes equations

机译:平面预混火焰的非线性细胞不稳定性:Reactive Navier-stokes方程的数值模拟

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摘要

Two-dimensional compressible Reactive Navier-Stokes numerical simulations of intrinsic planar, premixed flame instabilities are performed. The initial growth of a sinusoidally perturbed planar flame is first compared with the predictions of a recent exact linear stability analysis, and it is shown the analysis provides a necessary but not sufficient test problem for validating numerical schemes intended for flame simulations. The long-time nonlinear evolution up to the final nonlinear stationary cellular flame is then examined for numerical domains of increasing width. It is shown that for routinely computationally affordable domain widths, the evolution and final state is, in general, entirely dependent on the width of the domain and choice of numerical boundary conditions. It is also shown that the linear analysis has no relevance to the final nonlinear cell size. When both hydrodynamic and thermal-diffusive effects are important, the evolution consists of a number of symmetry breaking cell splitting and re-merging processes which results in a stationary state of a single very asymmetric cell in the domain, a flame shape which is not predicted by weakly nonlinear evolution equations. Resolution studies are performed and it is found that lower numerical resolutions, typical of those used in previous works, do not give even the qualitatively correct solution in wide domains. We also show that the long-time evolution, including whether or not a stationary state is ever achieved, depends on the choice of the numerical boundary conditions at the inflow and outflow boundaries, and on the numerical domain length and flame Mach number for the types of boundary conditions used in some previous works.ud
机译:进行了固有的平面,预混火焰不稳定性的二维可压缩反应式Navier-Stokes数值模拟。首先将正弦扰动的平面火焰的初始增长与最近进行的精确线性稳定性分析的预测进行比较,并表明该分析为验证旨在用于火焰模拟的数值方案提供了必要但不充分的测试问题。然后检查直到最终的非线性固定蜂窝火焰的长时间非线性演化,以寻找宽度增加的数值域。结果表明,对于常规计算上可承受的域​​宽度,演化和最终状态通常完全取决于域的宽度和数值边界条件的选择。还表明线性分析与最终非线性像元大小无关。当流体动力学和热扩散效应都很重要时,演化过程包括许多对称的破坏细胞分裂和重新合并的过程,这些过程导致该域中单个非常不对称的细胞处于稳态,这是无法预测的火焰形状通过弱非线性发展方程。进行了分辨率研究,结果发现较低的数字分辨率(在以前的工作中通常使用的分辨率较低)甚至在宽域中也无法给出定性正确的解决方案。我们还表明,长期演化(包括是否曾经达到过稳态)取决于对流入和流出边界处的数值边界条件的选择,以及取决于类型的数值域长度和火焰马赫数一些以前的作品中使用的边界条件。 ud

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    Sharpe G.J.; Falle S.A.E.G.;

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  • 年度 2006
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  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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