Computational fluid dynamics algorithms for unsteady shock-induced combustion, part 2: Comparison

In addition to the validation of the baseline method (Choi, J,-Y,, Jeung, I,-S,, and Yoon, Y,, "Computational Fluid Dynamics Algorithms for Unsteady Shock-Induced Combustion, Part 1: Validation," AIAA Journal, Vol.,38, No. 7, 2000, pp, 1179-1187), numerical experiments were performed to investigate the characteristics of various numerical algorithms for the analysis of periodically unstable shock-induced combustion. With regard to the spatial discretization, the role of limiter functions and entropy-fixing parameters were Examined concerning inherent artificial damping. Instead of the Roe scheme, an advection upstream splitting method variant upwind scheme was applied to the present problem and compared with the baseline method. Next, the accuracy and efficiency of time-integration approaches were tested by carrying out time-step refinement studies. A four-step explicit Runge-Kutta method, a point-implicit method, a Crank-Nicolson method, and a dual-time-stepping method were considered in addition to the baseline method.