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首页> 外文期刊>Journal of Computational Physics >Arbitrary Lagrangian Eulerian formulation for two-dimensional flows using dynamic meshes with edge swapping
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Arbitrary Lagrangian Eulerian formulation for two-dimensional flows using dynamic meshes with edge swapping

机译:使用带有边交换的动态网格的二维拉格朗日欧拉公式

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摘要

The dynamic modification of the computational grid due to element displacement, deformation and edge swapping is described here in terms of suitably-defined continuous (in time) alterations of the geometry of the elements of the dual mesh. This new interpretation allows one to describe all mesh modifications within the arbitrary Lagrangian Eulerian framework, thus removing the need to interpolate the solution across computational meshes with different connectivity. The resulting scheme is by construction conservative and it is applied here to the solution of the Euler equations for compressible flows in two spatial dimensions. Preliminary two dimensional numerical simulations are presented to demonstrate the soundness of the approach. Numerical experiments show that this method allows for large time steps without causing element invalidation or tangling and at the same time guarantees high quality of the mesh elements without resorting to global re-meshing techniques, resulting in a very efficient solver for the analysis of e.g. fluid-structure interaction problems, even for those cases that require large mesh deformations or changes in the domain topology.
机译:在此,根据对偶网格的元素几何形状的适当定义的连续(时间上)更改,描述了由于元素位移,变形和边缘交换而导致的计算网格的动态修改。这种新的解释允许描述任意拉格朗日欧拉框架内的所有网格修改,从而消除了在具有不同连通性的计算网格之间插值解的需要。所得方案通过构造是保守的,并且在此将其应用于二维空间中可压缩流的欧拉方程的解。初步进行了二维数值模拟,以证明该方法的合理性。数值实验表明,该方法允许较长的时间步长而不会导致元素失效或缠结,同时可确保网格元素的高质量,而无需求助于整体重新网格化技术,从而为分析诸如流体-结构相互作用问题,即使对于那些需要大网格变形或域拓扑变化的情况也是如此。

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