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Multidomain BEM for laminar flow in complex fractal geometry

机译:复杂分形几何中的层流的多麦田BEM

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This paper demonstrates the highly efficient 2D multidomain Boundary Element Method (BEM) for solving stream functionvorticity equations on fractal geometry containing a thousand corners and a hundred recirculation zones. Considering the sharp corners, two problems are solved. The problem of undefined unit normal in corner is overridden using mixed boundary element discretisation. The second problem is on determining the boundary vorticity values used as a boundary condition in a vorticity transport equation for a no-slip boundary. The implicit computation of boundary vorticities from a stream function governing equation as an integral constraint is applied. The numerical example is an intricate fractal geometry of the Koch snowflake solved in a large variation of Reynolds number values ranging from 10(-6) to 100. The flow pattern self-similarity is obtained, equivalent to fractal geometry similarity.
机译:本文演示了用于求解含有千角形和百次再循环区的分形几何形状的流动功能诱变方程的高效2D多域边界元法(BEM)。考虑到尖角,解决了两个问题。使用混合边界元分离心覆盖角落中未定义的单位正常的问题。第二问题是在确定无滑动边界的涡流传输方程中用作边界条件的边界涡度值。应用了从流函数控制等式的边界涡度的隐式计算作为整体约束。数值例子是在雷诺数值的大变化范围内的雷诺数值的大型雪花的复杂分形几何形状,从10(-6)到100。获得流动模式自相似性,相当于分形几何相似性。

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