Turing pattern formation for reaction–convection–diffusion systems in fixed domains submitted to toroidal velocity fields
Turing pattern formation for reaction–convection–diffusion systems in fixed domains submitted to toroidal velocity fields
复制标题
DOI：
10.1016/j.apm.2011.03.040
复制
发表时间：
2011-10
影响因子：
5
通讯作者：
D. Garzón-Alvarado;C. Galeano;J. Mantilla
中科院分区：
文献类型：
--
作者：
D. Garzón-Alvarado;C. Galeano;J. Mantilla
利用环形速度场研究了平流对反应扩散方程的影响。图灵模式的形成在扩散-平流-反应问题进行了具体研究，考虑Schnackenberg和糖酵解反应动力学模型。四种情况下进行了分析，并使用有限元数值求解。对于糖酵解模型，平流效应修改的形式图灵模式得到的扩散反应，而Schnackenberg问题，原来的图案稍微扭曲自己，使它们在速度场的方向旋转。我们还确定，平流效应超过了扩散的高值的速度和不稳定性驱动的扩散被消除。另一方面，对流效应是不值得注意的非常低的值在速度场，并没有修改，在原来的图灵模式。
We have studied the effect of advection on reaction–diffusion equations by using toroidal velocity fields. Turing patterns formation in diffusion–advection–reaction problems was studied specifically, considering the Schnackenberg and glycolysis reaction kinetics models. Four cases were analyzed and solved numerically using finite elements. For glycolysis models, the advective effect modified the form of Turing patterns obtained with diffusion–reaction; whereas for Schnackenberg problems, the original patterns distorted themselves slightly, making them rotate in direction of the velocity field. We have also determined that the advective effect surpassed the diffusive one for high values of velocity and instability driven by diffusion was eliminated. On the other hand the advective effect is not considerable for very low values in the velocity field, and there was no modification in the original Turing pattern.