New Algorithm for Parallel Laplacian Growth by Iterated Conformal Maps

Abstract

We report a new 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.

Sumitted to Phys. Rev. Lett. Further details at http://www.pik-potsdam.de/~anders