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 S hock-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 per iodically unstable shock-induced combustion. With regard to the spatial dis cretization, the role of limiter functions and entropy-fixing parameters we re Examined concerning inherent artificial damping. Instead of the Roe sche me, an advection upstream splitting method variant upwind scheme was applie d to the present problem and compared with the baseline method. Next, the a ccuracy and efficiency of time-integration approaches were tested by carryi ng out time-step refinement studies. A four-step explicit Runge-Kutta metho d, a point-implicit method, a Crank-Nicolson method, and a dual-time-steppi ng method were considered in addition to the baseline method.