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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A new velocity decomposition for viscous flows: Lighthill's equivalent-source method revisited
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A new velocity decomposition for viscous flows: Lighthill's equivalent-source method revisited

机译：粘性流的一种新的速度分解：重新研究Lighthill的等效源方法

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A convenient decomposition for vector fields is presented that falls within the vast class of potential-vorticity decompositions of the type v =△f + w, which includes the classical Helmholtz and Clebsch decompositions. The distinguishing feature of the present decomposition is that the rotational velocity contribution w (obtained by a line-integration along a path normal to the boundary) vanishes in much of the irrotational region. As a consequence, in the irrotational region one obtains v =△f. The mathematical formulation of the problem and the application to the analysis of incompressible viscous flows around solid bodies are discussed. For fiows in which the vortical region is concentrated in a thin layer surrounding the surface of the body and the wake mid-surface, the relationship between the present fOrmulation and the classical Lighthill's equivalent-source approach is addressed. In addition, an exact extension of the Lighthill fOrmulation is Fresented. The equivalence of the two approaches is established. Numerical results for the reconstruction of the two-dimensional velocity field (from a prescribed vorticity field) are presented to illustrate the differences between various approaches. 317-336
机译：提出了一种方便的矢量场分解方法，该方法属于类型为v =△f + w的大量势旋分解中，其中包括经典的亥姆霍兹分解和Clebsch分解。本分解法的显着特征是，旋转速度贡献率w（通过沿垂直于边界的路径的线积分获得）在大部分非旋转区域中消失。结果，在无旋区中，得到v ＝△f。讨论了该问题的数学公式及其在固体周围不可压缩粘性流分析中的应用。对于其中涡流区域集中在围绕身体表面和尾流中表面的薄层中的流，解决了目前的模拟与经典的Lighthill的等效源方法之间的关系。此外，还建议对Lighthill formulation进行精确扩展。建立了两种方法的等效性。提出了二维速度场（来自规定的涡度场）重构的数值结果，以说明各种方法之间的差异。 317-336

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