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The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow. (English) Zbl 0598.76065
Transonic flow through a duct of variable cross section for which nonlinear resonance effects are important is considered. The complicated local interactions of nonlinear waves are resolved through asymptotic analysis and this is then used to construct a random choice method to calculate general unsteady flow fields. The method produces sharp shocks without oscillations, is accurate in smooth regions, and converges to a stable steady flow.

MSC:
76H05 Transonic flows
76N15 Gas dynamics, general
76M99 Basic methods in fluid mechanics
76E30 Nonlinear effects in hydrodynamic stability
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