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首页> 外文期刊>Journal of Thermophysics and Heat Transfer >Compressible Laminar Boundary-Layer Flows with Statistical Bhatnagar-Gross-Krook Approaches
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Compressible Laminar Boundary-Layer Flows with Statistical Bhatnagar-Gross-Krook Approaches

机译：统计Bhatnagar-Gross-Krook方法的可压缩层流边界层流

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摘要

In this work, we study the well-known, fundamental viscous fluid problem of compressible, laminar boundary-layer flow over a flat plate. The paper investigates the modeling of such flows using the Bhatnagar-Gross-Krook and ellipsoidal statistical Bhatnagar-Gross-Krook model kinetic equations for the supersonic flow of argon gas over a flat plate in the semirarefied regime. The Bhatnagar-Gross-Krook and ellipsoidal statistical Bhatnagar-Gross-Krook solutions are compared with the exact, well-known direct simulation Monte Carlo method as well as the theoretical solution of the boundary-layer equations that include velocity slip and temperature jump boundary conditions for adiabatic and isothermal wall boundary conditions. It is found that the solutions obtained by the statistical Bhatnagar-Gross-Krook and ellipsoidal statistical Bhatnagar-Gross-Krook methods agree well with the theoretical and the benchmark direct simulation Monte Carlo solutions. Both approaches capture the shock wave appearing at the leading edge of the flat plate, but the ellipsoidal statistical Bhatnagar-Gross-Krook approach is shown to be in better agreement with the benchmark direct simulation Monte Carlo method solutions as well as the theoretical results. In addition, the statistical Bhatnagar-Gross-Krook and ellipsoidal statistical Bhatnagar-Gross-Krook methods are shown to be numerically more efficient than the direct simulation Monte Carlo method.
机译：在这项工作中，我们研究了平板上可压缩的层流边界层流的众所周知的基本粘性流体问题。本文研究了使用Bhatnagar-Gross-Krook模型和椭圆统计的Bhatnagar-Gross-Krook模型动力学方程对这种气流的建模，该方程用于半精制状态下平板上氩气的超声速流动。将Bhatnagar-Gross-Krook和椭球统计Bhatnagar-Gross-Krook解与精确的，众所周知的直接模拟Monte Carlo方法以及包括速度滑移和温度跳变边界条件的边界层方程的理论解进行了比较用于绝热和等温壁边界条件。结果发现，通过统计Bhatnagar-Gross-Krook方法和椭球统计Bhatnagar-Gross-Krook方法获得的解与理论和基准直接模拟蒙特卡洛解非常吻合。两种方法都捕获了出现在平板前缘的冲击波，但是椭圆统计的Bhatnagar-Gross-Krook方法显示出与基准直接模拟蒙特卡洛方法的解决方案以及理论结果更好地吻合。另外，统计的Bhatnagar-Gross-Krook和椭球统计的Bhatnagar-Gross-Krook方法在数值上比直接模拟蒙特卡洛方法更有效。

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  • 来源
    《Journal of Thermophysics and Heat Transfer》 |2010年第3期|P.556-565|共10页
  • 作者

    Rakesh Kumar; E. V. Titov; D. A. Levin;

  • 作者单位

    Pennsylvania State University, University Park, Pennsylvania 16802 Department of Aerospace Engineering;

    rnPennsylvania State University, University Park, Pennsylvania 16802 Department of Aerospace Engineering;

    rnPennsylvania State University, University Park, Pennsylvania 16802 Department of Aerospace Engineering;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
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