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首页> 外文学位 >Nonlinear relaxation algorithms for the compressible Navier-Stokes equations in two and three dimensions.
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Nonlinear relaxation algorithms for the compressible Navier-Stokes equations in two and three dimensions.

机译：二维和三维可压缩Navier-Stokes方程的非线性松弛算法。

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摘要

An efficient new class of implicit algorithms for the computation of steady, two- and three-dimensional, compressible Navier-Stokes flowfields is presented. A nonlinear relaxation strategy based on a fully-coupled sequence of line or planar Gauss-Seidel sweeps is used to drive the solution toward a steady state. Quasi-Newton techniques are used to accelerate the convergence of the 2-D algorithm and to reduce approximate factorization errors in the 3-D version. Convergence characteristics are further improved through the addition of a coarse-grid correction procedure. The discretization of the Navier-Stokes set is hybrid in nature, with flux-vector splitting utilized for the streamwise inviscid fluxes and central differences with flux-limited artificial dissipation used for the transverse inviscid fluxes. Viscous fluxes are central-differenced. Both laminar and turbulent cases are considered, with turbulent closure provided by a modification of the Baldwin-Barth one-equation model. Convergence histories and comparisons with experimental data are presented for several 2-D and 3-D shock wave-boundary layer interactions. Several numerical simulations of the Mach 10 flow through a generic 3-D sidewall compression SCramjet inlet configuration are also presented. For the medium-sized (175,000-325,000 mesh points) 3-D validation cases, the algorithm provides steady-state convergence in 15 to 17 Cray Y-MP CPU minutes. Converged solutions for some of the inlet flowfields (375,000-395,000 mesh points) are obtained in about one CPU hour.
机译：提出了一种有效的新型隐式算法，用于计算稳定的二维和三维可压缩Navier-Stokes流场。基于线或平面高斯-赛德尔扫描的完全耦合序列的非线性松弛策略可将解决方案推向稳态。拟牛顿技术用于加速2-D算法的收敛并减少3-D版本中的近似因式分解误差。通过添加粗网格校正程序，可以进一步改善收敛特性。 Navier-Stokes集的离散化本质上是混合的，通量矢量分裂用于流状无粘性通量，中心差用于通量有限的人工耗散，用于横向无粘性通量。粘性通量是中心差分的。层流和湍流情况都被考虑，湍流闭合通过对鲍德温-巴特一方程模型的修改来提供。给出了几种2-D和3-D冲击波边界层相互作用的收敛历史和与实验数据的比较。还介绍了通过通用3-D侧壁压缩SCramjet入口配置对Mach 10进行流动的几个数值模拟。对于中型（175,000-325,000网格点）3-D验证案例，该算法可在15至17个Cray Y-MP CPU分钟内提供稳态收敛。大约一个CPU小时即可获得一些入口流场（375,000-395,000网格点）的收敛解。

著录项

  • 作者

    Edwards, Jack Ray.;

  • 作者单位

    North Carolina State University.;

  • 授予单位 North Carolina State University.;
  • 学科 Engineering Aerospace.
  • 学位 Ph.D.
  • 年度 1993
  • 页码 158 p.
  • 总页数 158
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 航空、航天技术的研究与探索;
  • 关键词

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