Space-Time Convergence Analysis of a Dual-Time Stepping Method for Simulating Ignition Overpressure Waves

High-fidelity time-accurate simulations of the launch environment are an important part of the successful launch of new and existing space vehicles. The capability to predict certain aspects of the launch environment, such as ignition overpressure (IOP) waves, is paramount to mission success. Dual-time stepping implicit methods can provide accurate results in a timely manner. To determine the necessary solver parameters for accurate three-dimensional simulations, space-time convergence analysis on a simplified two-dimensional problem related to IOP wave prediction is considered. Using two separate numerical methods, sensitivity analysis was performed over a large parameter space including physical-time step, number of dual-time sub-iterations, and grid resolution.