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首页> 外文学位 >Flowfield-Dependent Variation (FDV) method for compressible, incompressible, viscous, and inviscid flow interactions with FDV adaptive mesh refinements and parallel processing.
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Flowfield-Dependent Variation (FDV) method for compressible, incompressible, viscous, and inviscid flow interactions with FDV adaptive mesh refinements and parallel processing.

机译：流场相关变化（FDV）方法，通过FDV自适应网格细化和并行处理实现可压缩，不可压缩，粘性和不粘稠的流体相互作用。

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摘要

A new approach to solution-adaptive grid refinement using the finite element method and Flowfield-Dependent Variation (FDV) theory applied to the Navier-Stokes system of equations is discussed. Flowfield-Dependent Variation (FDV) parameters are introduced into a modified Taylor series expansion of the conservation variables, with the Navier-Stokes system of equations substituted into the Taylor series. The FDV parameters are calculated from the current Fowfield conditions, and automatically adjust the resulting equations from elliptic to parabolic to hyperbolic in type to assure solution accuracy in evolving fluid flowfields that may consist of interactions between regions of compressible and incompressible flow, viscous and inviscid flow, and turbulent and laminar flow. The system of equations is solved using an element-by-element iterative GMRES solver with the elements grouped together to allow the element operations to be performed in parallel. The FDV parameters play many roles in the numerical scheme. One of these roles is to control formations of shock wave discontinuities in high speeds and pressure oscillations in low speeds. To demonstrate these abilities, various example problems are shown, including supersonic flows over a flat plate and a compression corner, and flows involving triple shock waves generated on fin geometries for high speed compressible flows. Furthermore, analysis of low speed incompressible flows is presented in the form of flow in a lid-driven cavity at various Reynolds numbers. Another role of the FDV parameters is their use as error indicators for a solution-adaptive mesh. The finite element grid is refined as dictated by the magnitude of the FDV parameters. Examples of adaptive grids generated using the FDV parameters as error indicators are presented for supersonic flow over flat plate/compression ramp combinations in both two and three dimensions. Grids refined using the FDV parameters as error indicators are comparable to ones refined using primitive variable error indicators, and require less computational time to generate the grids. The use of parallel processing in performing some element operations is shown to reduce the wall clock time approximately forty-five percent in going from one to eight processors. Finally, the algorithm's ability to solve a flowfield containing interactions and transitions between regions of incompressible and compressible, viscous and inviscid, and laminar and turbulent flow is demonstrated by modeling the flowfield generated by supersonic flow over a compression ramp located between two fins. The structure of the resulting systems of shock waves are analyzed and compared with planar laser scattering images obtained experimentally for similar flow structures.
机译：讨论了一种将有限元方法和流场相关变化（FDV）理论应用于方程的Navier-Stokes系统的求解网格细化的新方法。流场相关变化（FDV）参数被引入到守恒变量的改进泰勒级数展开中，而方程的Navier-Stokes系统被代入泰勒级数。 FDV参数是根据当前Fowfield条件计算得出的，并自动将所得方程式从椭圆形，抛物线形到双曲线形调整，以确保在不断发展的流体流场中的求解精度，该流体流场可能由可压缩和不可压缩流，粘性流和不粘流区域之间的相互作用组成，以及湍流和层流。使用元素逐元素的迭代GMRES求解器对方程组进行求解，将元素分组在一起以允许并行执行元素运算。 FDV参数在数值方案中起着许多作用。这些作用之一是在高速下控制冲击波不连续性的形成，在低速下控制压力波动的形成。为了证明这些能力，显示了各种示例性问题，包括在平板和压缩角上的超音速流动，以及涉及在翅片几何形状上产生的三重冲击波的流动以产生高速可压缩流。此外，对低速不可压缩流的分析以各种雷诺数下的盖驱动腔中的流形式呈现。 FDV参数的另一个作用是将它们用作解决方案自适应网格的错误指示符。有限元网格按照FDV参数的大小进行细化。给出了使用FDV参数作为误差指标生成的自适应网格的示例，用于二维和三维二维平面上的超声速流动/压缩斜波组合。使用FDV参数作为错误指示符精炼的网格与使用原始可变错误指示符精炼的网格相当，并且生成网格所需的计算时间更少。已显示在执行某些元素操作时使用并行处理可将挂钟时间从1个减少到8个，减少大约百分之四十五。最后，通过对超音速流在位于两个鳍片之间的压缩坡道上生成的流场进行建模，证明了该算法求解流场的能力，该流场包含不可压缩和可压缩，粘性和不粘稠，层流和湍流之间的相互作用和过渡。分析所得冲击波系统的结构，并将其与通过实验获得的类似流动结构的平面激光散射图像进行比较。

著录项

  • 作者

    Heard, Gary Wayne.;

  • 作者单位

    The University of Alabama in Huntsville.;

  • 授予单位 The University of Alabama in Huntsville.;
  • 学科 Engineering Aerospace.;Physics Fluid and Plasma.
  • 学位 Ph.D.
  • 年度 2007
  • 页码 268 p.
  • 总页数 268
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 TS97-4;
  • 关键词

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