Vorticity Confinement technique for preservation of tip vortex of rotating blade

Vorticity Confinement technique for preservation of tip vortex of rotating blade
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旋转叶片叶尖涡保留的涡度约束技术

DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
A. Povitsky
A. Povitsky
中科院分区：
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文献类型：
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作者：
K. Pierson;A. Povitsky

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在这项研究中，涡度限制（VC）方法与总变差递减（TVD）技术相结合，以避免逆风二阶近似方案的过度限制和发散。 TVD 方案与第一个（恒定约束参数 e）和第二个（恒定无单位约束参数 c）VC 公式以及 Hahn 和 Iaccarino 的采用涡度约束公式相结合。这些 VC 技术应用于对流泰勒涡流。对于前两种 VC 方法，二阶迎风离散格式与 VC 的组合显示出对流涡流的严重过度限制，而一阶离散格式会导致涡流的强烈耗散。虽然后一种 VC 技术对于一阶迎风方案显示出可接受的结果，但当采用二阶迎风离散方案时，它要么发散，要么严重过度限制。 VC 与 TVD 的组合显示流场接近上述 VC 方法的分析对流涡流。所提出的 TVD 和 VC 组合技术应用于旋转叶片产生的叶尖涡流并与实验进行比较。涡度限制参数的最佳值根据这些条件进行调整。讨论了网格生成问题和所需的局部网格细化。证实了添加涡度限制的 CFD 算法的收敛性。与没有 VC 方法的相同 CFD 代码相比，将 VC 应用于 CFD 代码 FLUENT 在涡流速度分布和涡核尺寸方面显示出与实验结果更加接近的比较。
In this study the Vorticity Confinement (VC) approach is combined with Total Variation Diminishing (TVD) technique to avoid over-confinement and divergence of upwind secondorder of approximation schemes. The TVD schemes were combined with the first (constant confinement parameter e) and second (constant unit-less confinement parameter c) VC formulations and to adoptive vorticity confinement formulation by Hahn and Iaccarino. These VC techniques were applied to convected Taylor vortex. For the former two VC methods combination of the second-order upwind discretization scheme with VC shows significant over-confinement of convected vortex whereas the first-order discretization scheme leads to strong dissipation of vortex. While the latter VC technique shows acceptable results for first-order upwind scheme, it either diverges or strongly over-confines when the second-order upwind discretization scheme is adopted. The combination of VC with TVD shows flowfield close to analytical convected vortex for above listed VC methods. The proposed combined TVD and VC technique is applied to tip vortex generated by rotating blade and compared to experiment. The optimum value of vorticity confinement parameter is adjusted to these conditions. The grid generation issues and needed local grid refinement are discussed. Convergence of CFD algorithm with added vorticity confinement is confirmed. Application of VC to CFD code FLUENT shows much more close comparison to experimental results in terms of vortex velocity profile and size of vortex core compared to the same CFD code without VC approach.