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Spectrally-accurate immersed boundary conditions method for three-dimensional flows

机译:三维流的频谱精确沉浸边界条件方法

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A three-dimensional, spectrally accurate algorithm based on the immersed boundary conditions (IBC) concept has been developed for the analysis of flows in channels bounded by rough boundaries. The algorithm is based on the velocity vorticity formulation and uses a fixed computational domain with the flow domain immersed in its interior. The geometry, of the boundaries is expressed in terms of double Fourier expansions and boundary conditions enter the algorithm in the form of constraints. The spatial discretization uses Fourier expansions in the stream-wise and span-wise directions and Chebyshev expansions in the wall-normal direction. The algorithm can use either the fixed-flow-rate constraint or the fixed-pressure-gradient constraint; a direct implementation of the former constraint is described. An efficient solver which takes advantage of the structure of the coefficient matrix has been developed. It is demonstrated that the applicability of the algorithm can be extended to more extreme geometries using the over-determined formulation. Various tests confirm the spectral accuracy of the algorithm. (C) 2017 Elsevier Ltd. All rights reserved.
机译:已经开发出一种基于沉浸边界条件(IBC)概念的三维光谱精确算法,用于分析以粗糙边界为边界的通道中的流动。该算法基于速度涡度公式,并使用固定的计算域,且流域沉浸在其内部。边界的几何形状用双重傅立叶展开表示,边界条件以约束形式进入算法。空间离散化使用沿流方向和跨度方向的傅立叶展开以及沿壁法线方向的切比雪夫展开。该算法可以使用固定流量约束或固定压力梯度约束。描述了前一个约束的直接实现。已经开发出利用系数矩阵的结构的有效求解器。证明了使用超额确定的公式,该算法的适用性可以扩展到更极端的几何形状。各种测试证实了该算法的频谱准确性。 (C)2017 Elsevier Ltd.保留所有权利。

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