Computational fluid dynamics algorithms for unsteady shock-induced combustion, part 1: Validation

A computational study is carried out to develop a fully implicit and time-a ccurate computational fluid dynamics code for the analysis of reactive flow systems. Periodically oscillating shock-induced combustion around a blunt body in a stoichiometric hydrogen-air mixture is used as a validation probl em of examining various numerical considerations. Euler equations and speci es conservation equations are used as the governing equations for the chemi cally reacting flow. Spatial discretization of the governing equation is ba sed on Roe's approximate Riemann solver with a MUSCL-type total variation d iminishing scheme for higher-order spatial resolution. The second-order-acc urate time integration method is based on a lower-upper symmetric Gauss-Sei del scheme, using a Newton subiteration method and Steger-Warming flux Jaco bian splitting. As a first step of the validation procedure, simulations of experimental results were carried out to confirm the reliability of the ba seline method. In the next step, the general aspects of the baseline method were examined, including order of time integration, number of subiteration s, and use of approximate Bur Jacobian splitting. Appropriateness of the gr id system is also examined by using a grid refinement study.