NUMERICAL-SIMULATION OF SHOCK-WAVE FOCUSING OVER PARABOLIC REFLECTORS

The problem of a plane shock wave that propagates in an air media and then is reflected from a parabolic concave reflector and focuses at so me region is considered. The shock focusing can greatly magnify the pr essure and the temperature. The purpose of this study is to numericall y simulate the shock focusing process of the reflection of shock waves from the parabolic reflectors with different depths and to analyze th eir associated flow fields in detail. The present solver developed is to solve the Euler equations using an improved, implicit, upwind Total Variation Diminishing scheme in a finite-volume approach. The effects of reflectors with different depths and of the incident shock Mach nu mbers on shock focusing are investigated. The real-gas effect is taken into account through a proper correction of the specific heat ratio o f air, when high temperature occurs due to shock focusing.