Study on the influence of diffusion effect on spiral waves based on lattice Boltzmann method
CHEN Chao1， JIANG Liyuan1， DENG Minyi2
1.Faculty of Science， Guilin University of Aerospace Technology， Guilin， Guangxi 541004， China；2.College of Physical Science and Technology， Guangxi Normal University， Guilin， Guangxi 541004， China
Abstract：Based on the D2Q9 model of the lattice Boltzmann method， the influence of the diffusion effect on the evolution behavior of the spiral wave in the excitation system was researched. The numerical results show that changing the diffusion coefficient of the fast variable with other parameters maintained， the spiral wave in the system varies from circular to square with thicker wave arm and the system energy decreases with the increase of Dy. However， the total amount is still sufficient to maintain the stability of the spiral wave of the system. Changing the diffusion coefficient of the slow variable with other parameters maintained， three patterns of stable spiral wave， small spiral wave and chaotic state are able to be evolved in the system with sharply decrease of system energy. When Dx＝0.24， it is observed that the long-arm spiral wave repels the short-arm spiral wave phenomenon in the system. When Dx increases to a certain value， the system will change from the excitation system to the oscillation system.
陈超,蒋丽源,邓敏艺. 基于格子Boltzmann方法研究扩散作用对螺旋波的影响[J]. 华中师范大学学报(自然科学版), 2019, 53(3): 339-344.
CHEN Chao,JIANG Liyuan,DENG Minyi. Study on the influence of diffusion effect on spiral waves based on lattice Boltzmann method. journal1, 2019, 53(3): 339-344.
2019, Vol. 53 
