【摘要】 采用五速正方晶格玻尔兹曼模型,由晶格玻尔兹曼方程推导得到了反应扩散方程.分析了Selkov反应扩散系统螺旋波的形成机制.零流边界条件下计算机数值模拟螺旋波的形成和破碎过程,发现Selkov反应扩散系统的失稳属于Doppler失稳.改变参数模拟系统的演化行为,发现不同的参数下系统可能到达三种不同的状态:均匀定态、混沌状态和螺旋波.更多还原

【Abstract】 We proposed a five-speed lattice Boltzmann method to investigate the evolution of the reaction-diffusion system. As an example, the production mechanism and evolution of the spiral wave were studied. We found that the system may evolve to three final states: homogenous, chaotic, and spiral waves-like, depending on the parameter of the system, and the crushing of the spiral waves in Selkov reaction-diffusion system belongs to the Doppler class.更多还原