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A modified Finite Element formulation for the imposition of the slip boundary condition over embedded volumeless geometries

机译:一种改进的有限元配方,用于嵌入嵌入式存储空间几何上的滑动边界条件

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This work describes a novel formulation for the simulation of Navier-Stokes problems including embedded objects. The new proposal is based on the use of a modified finite element space, which replaces the standard one within the elements intersected by the immersed geometry. The modified space is able to exactly reproduce the jumps happening at the embedded boundary while preserving the conformity across the faces intersected by the embedded object. The paper focuses particularly on the imposition of a slip boundary condition on the surface of the embedded geometry, proposing a new technique for the application of such constraint. The new proposal is carefully benchmarked using the results of a body fitted technique and of an alternative embedded approach. Potential applications of interest are also presented. (C) 2019 Elsevier B.V. All rights reserved.
机译:这项工作描述了一种用于模拟Navier-Stokes问题,包括嵌入对象的问题。新提案基于使用修改的有限元空间,该空间取代由浸没几何形状相交的元素内的标准一个。修改的空间能够完全再现在嵌入式边界处发生的跳跃,同时保留由嵌入对象相交的面的符合性。本文特别侧重于嵌入几何形状表面上的滑动边界条件的施加,提出了一种应用这种约束的新技术。新的提案是使用身体拟合技术的结果和替代嵌入方法的结果仔细基准测试。还提出了潜在的利益应用。 (c)2019 Elsevier B.v.保留所有权利。

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