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While turbocharging has existed for a full century, its significance has increased very rapidly in the past few decades. At the heart of good turbocharger performance is an excellent compressor stage, or stages, that must be efficient, stable, lightweight, and inexpensive to manufacture. Based on decades of design experience, the performance modeling of these stages is presented, techniques for design optimization are reviewed, and means for rapid machining are explained. The reader will gain insight to some of the most critical aspects of compressor design.

Analytical modeling of turbomachinery components and systems has been used for more than a century to develop new machines and understand internal flow states. Flow modeling basics are reviewed in this survey including a summary of the flow processes observed in nature. The development of a variety of different loss, blockage, and deviation models is reviewed, and the complexity of mathematical data processing and model development is presented. Examination of different modeling philosophies is given with critique of the consequences. Examples of data matching, modeling for design work, and modeling uncertainty are given. Suggestions for future improvements are offered.