Phase-field models for moving boundary problems: Controlling metastability and anisotropy
Phase-field models for moving boundary problems: Controlling metastability and anisotropy
复制标题
移动边界问题的相场模型：控制亚稳态和各向异性
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
O. Shochet
中科院分区：
文献类型：
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作者：
A. Bösch;H. Müller;O. Shochet
我们介绍了最近提出的方法的一个变种，旋转格子的数值处理移动边界问题。相场模型的数值计算中通常引入的晶格会产生非物理的亚稳态和各向异性。在这种情况下，我们旋转和移动晶格的随机角度和分数的晶格常数。我们表明，十二点插值公式是足够的，以保持数值插值误差充分本地化。这消除了非物理的可伸缩性，并使模型完全各向同性。这是证明了几个例子计算的树枝状图案的形成。
We introduce a variant of a recently proposed method of rotated lattices for numerical treatment of moving boundary problems. The usual lattice introduced for numerical computation of phase-field models gives rise to unphysical metastable states and anisotropy. In the present case we rotate and shift the lattice by random angles and fractions of a lattice constant. We show that a twelve point interpolation formula is adequate to keep numerical interpolation errors sufficiently localized. This removes the unphysical metastabilities and makes the model fully isotropic. This is demonstrated by a few example-calculations for dendritic pattern formation.