Finite transformation rigid motion mesh morpher; A grid deformation approach,International Journal for Numerical Methods in Fluids

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Finite transformation rigid motion mesh morpher; A grid deformation approach
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-08-31 , DOI: 10.1002/fld.4912
Athanasios G. Liatsikouras _{1,

2,

3} , Gabriel Fougeron ₄ , George S. Eleftheriou ₄ , Guillaume Pierrot _{4,

5}

Affiliation

In any shape optimization framework and specifically in the context of computational fluid dynamics, a robust and reliable grid deformation tool is necessary to undertake the adaptation of the computational mesh to the updated boundaries at each optimization cycle. Grid deformation has its share of challenges, namely, to maintain high mesh quality (avoid distorted elements and tangles) even when dealing with extreme deformations. In this work a novel grid deformation algorithm, the finite transformation rigid motion mesh morpher (FT‐R3M) is proposed. FT‐R3M is essentially a mesh‐free grid deformation approach, since it does not require any inertial quantities and it gracefully propagates the movement of the boundaries (surface mesh) to the internal nodes of the mesh (volume mesh), by keeping the motion of its parts (referred to as stencils) as‐rigid‐as‐possible. It is an optimization‐based method, which means that the interior nodes of the computational mesh are displaced to minimize a distortion metric related to the elastic deformation energy, by favoring rigidity in critical directions, thus being able to handle mesh anisotropies very efficiently. Results are presented for three test cases; a rotated airfoil with a mesh appropriate for viscous flow; a simulation of a low Reynolds duct case; a beam.

中文翻译：

有限变换刚性运动网格变形器；网格变形方法

在任何形状优化框架中，尤其是在计算流体动力学的情况下，都需要一个强大而可靠的网格变形工具来在每个优化周期进行计算网格到更新边界的适配。网格变形面临着许多挑战，即即使在处理极端变形时也要保持较高的网格质量（避免元素和缠结变形）。在这项工作中，提出了一种新颖的网格变形算法，即有限变换刚体运动网格变形器（FT‐R3M）。FT‐R3M本质上是一种无网格的网格变形方法，因为它不需要任何惯性量，并且可以将边界（表面网格）的运动平稳地传播到网格的内部节点（体网格），通过尽可能保持其零件（称为模板）的运动。这是一种基于优化的方法，这意味着通过支持关键方向上的刚度，可以移动计算网格的内部节点，以最大程度地减少与弹性变形能量相关的变形度量，从而能够非常有效地处理网格各向异性。给出了三个测试用例的结果；具有适合粘性流动的网孔的旋转翼型；低雷诺导管箱的模拟；一束。给出了三个测试用例的结果；具有适合粘性流动的网孔的旋转翼型；低雷诺导管箱的模拟；一束。给出了三个测试用例的结果；具有适合粘性流动的网孔的旋转翼型；低雷诺导管箱的模拟；一束。

更新日期：2020-08-31

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