2001/12/12 by Kristóf Kály‐Kullai, Kristof Kaly-Kullai, Kaly-Kullai, Kristof
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #nlin.PS
paper · pdf · doi:10.48550/arxiv.nlin/0112020
arxiv created 2001/12/12 · arxiv updated 2009/11/30
Waves in excitable media can be treated by a simple geometric theory. The propagation velocity is assumed known and evolution of wave fronts is determined by elementary physical principles (Fermat's principle, Huygens' principle). Based on this geometric theory a fast computational method is developed. By this method the distorting effect of the spatial grid is avoided. The method is applied to the cases when a circular obstacle is surrounded by a homogeneous and heterogeneous medium, respectively. The numerical simulations show that the method is convenient, fast and reliable.