论文标题

各向同性固化的尖锐相位模型,并具有超高效的空间分辨率

Sharp phase-field modeling of isotropic solidification with a super efficient spatial resolution

论文作者

Fleck, Michael, Schleifer, Felix

论文摘要

相位模型的数值分辨率效率受网格摩擦,电网各向异性和固定的限制。 1D尖锐的相位模型消除了网格摩擦和通过离散的相位方程中的全球转移不变性(TI)的固定(物理学修订版121,025501,2018)。在3D Global中,Ti将有益的建模属性限制为有限数量的固定接口方向。我们提出了一个准确的方案,以在局部接口正常方向恢复本地TI。在一个网格点界面的分辨率下,新模型捕获了各向异性海藻结构的形成,而无需通过网格各向异性选择树枝状树种。

The numerical resolution efficiency of phase-field models is limited by grid friction, grid anisotropy and pinning. The 1D sharp phase-field model eliminates grid friction and pinning by a global restoration of Translational Invariance (TI) in the discretized phase-field equation (Phys. Rev. Lett. 121, 025501, 2018). In 3D global TI restricts the beneficial modeling properties to a finite number of fixed interface orientations. We propose an accurate scheme to restore TI locally in the local interface normal direction. At one-grid-point interface resolutions, the new model captures the formation of isotropic seaweed structures without spurious dendritic selection by grid anisotropy.

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