Weakly Nonlinear and Numerical Analysis of Auto-Oscillatory Dynamics in a Solid Propellant Combustion Model

Figure 7

Numerical and analytical values of Θ(0,0,𝑡) and |(𝜕Φ/𝜕𝑡)(0,𝑡)| along with their frequency power spectra for 𝜖=0.1. Higher harmonics are quite evident in the numerical solution, while the analytical solution contains only first and second harmonics as it is determined only to 𝑂(𝜖²).