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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。
Numerical simulations of combustion are very challenging research efforts. The dynamic adaptive multilevel wavelet point matching method is proposed to solve the combustion model. The wavelet point matching algorithm and recursive iterative algorithm are transformed into matrix operations, and the numerical solution method of PDE is given. The method is applied to solve the simplified Fuel - oxidizer mixed combustion one - dimensional model. The simulation results show that the proposed wavelet method not only effectively captures the spatiotemporal abruptness of various parameters during combustion, but also has the advantages over the existing numerical algorithms.