groupe-dfo-bbo:acteurs:students:doc:solene-kojtych:main-page [Groupe de recherche en DFO-BBO]

Background: I arrived at Polytechnique Montreal in September 2016 for a double degree with Université de Technologie de Compiègne in France. I began in January 2017 a research Master's in mechanical engineering in the LAVA turbomachinery lab. I was really interested by the black box optimization course I attended and I wanted to combine both mathematical and mechanical aspects in a Ph.D. project. I had the opportunity to follow a Master’s-to-Ph.D. fast track program and I began my Ph.D. in January 2018.

Project: My works focuses on the development of a methodology for the design of aircraft engine blades, which involves time-consuming simulations and discontinuous functions. As a consequence, I have developed a new MADS algorithm revealing and escaping discontinuous areas of the space of variables.

Supervisors:
- Charles Audet (Polytechnique Montréal and GERAD, mathematics)
- Alain Batailly (Polytechnique Montréal, mechanical engineering) :

Research interests:
- black box optimization, derivative-free optimization
- design of strongly nonlinear mechanical systems
- design of aircrat engine blades

Design of non-linear mechanical systems
- time-consumming simulations are necessary to account for the nonlinear behaviour of the system (time integration…) ⇒ need for blackbox optimization algorithms
- nonlinear features such as bifurcations cause jump discontinuities and abrupt variations of the quantities of interest ⇒ need for a special treatment of discontinuities

Why is it a new topic of interest?
- maturity of mechanical simulations tools reached within the last decade ⇒ reverse design of system made possible
- previous successuful use of MADS for the simplified design of turbomachinery blades

An example of discontinuous quantity involved in the design of aircraft engine blades

Supported by a convergence analysis
Applications :
- Ensure safe structural design ⇒ design of a two-bar truss with buckling behaviour, simplified design of turbomachinery blades
- Avoid regions where hidden constraints are violated ⇒ application to STYRENE

Developmnent of a blackbox related to the design of turbomachinery blades
- accurate simulation of blade/casing interaction
- simplified aerodynamic analysis