通过迭代共形映射实现并行拉普拉斯生长的算法。
Algorithm for parallel Laplacian growth by iterated conformal maps.
作者信息
Levermann Anders, Procaccia Itamar
机构信息
Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Mar;69(3 Pt 1):031401. doi: 10.1103/PhysRevE.69.031401. Epub 2004 Mar 8.
PMID:15089288
Abstract
We report an algorithm to generate Laplacian growth patterns using iterated conformal maps. The difficulty of growing a complete layer with local width proportional to the gradient of the Laplacian field is overcome. The resulting growth patterns are compared to those obtained by the best algorithms of direct numerical solutions. The fractal dimension of the patterns is discussed.
摘要
我们报告了一种使用迭代共形映射生成拉普拉斯生长模式的算法。克服了以与拉普拉斯场梯度成比例的局部宽度生长完整层的困难。将所得生长模式与通过直接数值解的最佳算法获得的模式进行比较。讨论了模式的分形维数。
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