I guess there's some commercial software for this: COMSOL, Solidworks, Siemens PLM,->Simulation is an integral part of product lifecycle management (PLM). Used together with computer-aided design (CAD), computer-aided manufacturing (CAM), digital manufacturing, and product data management (PDM), entire product lifecycles can be optimized for suitability, reliability and profitability), 

http://www.skf.com/group/our-company/research-and-development/core-competences/modelling-and-simulation/index.html

 http://www.ida.liu.se/labs/pelab/beast/

  http://www.diva-portal.org/smash/get/diva2:822049/FULLTEXT02

     http://machinedesign.com/archive/bearing-simulation-gets-real

       http://141.44.1.20/ifme/l-dynamik/quellen/CM2010_Tkachuk.pdf

         http://www.turbos.bwauto.com/products/turbochargerBearingSystem.aspx

           https://dieselnet.com/tech/air_turbo_bearings.php

            https://turbo.honeywell.com/whats-new-in-turbo/video/advanced-thrust-bearing-design/

  * Alternative Performance Turbocharger Bearing Design

1996-12-01 SAE Technical Paper 962500

Robert Keller, Joseph Scharrer, Joseph Pelletti

Much of this problem is attributable to the original design concept of commercial turbochargers as applied to diesel applications. Analysis of current turbocharger bearing design philosophy as well as alternative hybrid design considerations have shown that many of the operational inadequacies of performance turbochargers can be resolved. ...ABSTRACT Performance turbochargers utilized for motorsports applications have historically suffered from inadequate bearing systems. Much of this problem is attributable to the original design concept of commercial turbochargers as applied to diesel applications. ...ABSTRACT Performance turbochargers utilized for motorsports applications have historically suffered from inadequate bearing systems.

 * Turbocharger design SAE 2011-04-12 Article

To optimize engine performance, it is important for engineers to factor in the turbocharger from the beginning, according to Concepts NREC. Similarly, turbocharger design should be done with the mated engine in mind.

  Turbocharger Nomenclature and Terminology CURRENT 2011-06-13 Standard

J922_201106 This SAE Recommended Practice applies to nomenclature of turbocharger parts and terminology of performance.

* The Role of the Computer in Turbocharger Design Development and Testing

1979-02-01 Technical Paper SAE 790278

M. S. Khan, P. J. Langdon

ABSTRACT The design process of turbocharger impellers is recursive, involving several iterations in aerodynamics and stress analysis before finalised drawings may be produced. ...This interaction has been extended to the production of NC tool paths for die making and prototype manufacture and the data base created by the design procedure can be accessed for casting inspection. Finally, use is made of real time data acquisition from test cells to feed the latest empirical data into the design process. ...Finally, use is made of real time data acquisition from test cells to feed the latest empirical data into the design process.

* Modeling and Manufacturing of Turbocharger Compressors

2010-04-12 Technical Paper SAE 2010-01-1219

David Japikse, Colin Osborne, Peter Klein, William Pope, Eric Krivitzky

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.