小波分析在燃烧计算中的应用

燃烧的数值仿真计算是非常具有挑战性的研究工作.提出采用动态自适应多级小波配点法求解燃烧模型;将小波配点算法以及递推迭代算法转化为矩阵运算,给出了适合编程运算的偏微分方程数值求解方法;并将其应用于求解简化的燃料-氧化剂混合燃烧一维模型之中.仿真结果表明,提出的小波法不仅能有效地捕捉到燃烧过程中各参数的时空突变性,并且同已有的数值算法相比这种方法具有优越性.

On Use of Wavelet in Computational Combustion

The numerical simulation of combustion remains a challenging task.A dynamically adaptive multilevel wavelet collocation was proposed and was applied to a test problem involving flame propagation in a representative fuel-air mixture,in which the chemistry was treated using a standard one-step reduced reaction mechanism.The resulting algorithm is considerably more efficient by using matrix operators.Numerical results demonstrate the ability of the method to resolve localized structures which change their location and steepness in space and time.The present results indicate that the method has clear advantages in comparison with well established numerical algorithms.