Mathematical compressor models are major tools used in resolving engine problems and evaluating the influence of compressor modifications on performance and stability. This paper discusses the development of a one-dimensional, time-dependent, dual-spool, stage-by-stage compression system mathematical model and its application to a current compression system. The dual-spool model was constructed by extending a current single-spool modeling technique to include dual-spool compression systems. To improve the numerical stability characteristics of the compressor modeling technique, the dual-spool model was formulated using MacCormack’s explicit differencing scheme and a method of characteristics boundary treatment. The dual-spool model was applied to a current compression system, and several types of planar destabilizing disturbances were studied to determine their effect on compression system stability. Model predictions were validated against experimental data whenever possible.

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