【摘要】 为了精确考察无粘不可压缩火焰面间断的界面运动,提出了模拟无粘不可压缩火焰面间断的GFM方法,尝试把Level Set方法,改进的Ghost技术应用到火焰间断面的求解中。使用SMAC方法求解Navier-Stokes方程,应用Ghost技术的Level Set方法捕捉运动界面,采用五阶精度的WENO格式,时间离散采用TVD Runge-Kutta格式,完成了不可压缩无粘条件下的一维和二维火焰界面合并问题的数值模拟,计算结果肯定了采用Ghost技术的Level Set方法捕捉由于化学反应产生强间断的运动界面的合理性。在处理间断问题时,Level Set方法不需要进行复杂的计算公式推导,只需对间断面附近的区域进行简单处理,节约了计算时间和内存空间。同时,程序的编制过程体现了Level Set方法无需进行复杂的界面重构,易于编程的优越性。更多还原

【Abstract】 In order to study the movement of the interface of the inviscid-incompressible flame,a GFM method for the inviscid-incompressible flame is proposed.Also,the Level Set method and the improved Ghost technique are applied.In this paper,the SMAC method is adopted to solve Navier-Stokes equation;the Level Set method,by fifth-order WENO scheme and TVD R-K scheme,is used to capture moving interfaces.The modeling of the incompressible inviscid flame interface of one-and two dimensions is completed.The rationality of Level Set method of Ghost technique in capturing moving interfaces with strong discontinuities due to chemical reactions is demonstrated.The application of the Level Set method removes the complicated formulation process and saves the computation time and memory space.The study shows that Level Set method can not only exactly capture interfaces without complicated reconstruction,but also be easily programmed.更多还原