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Efficient Numerical Methods for the Time Integration of Unsteady Fluid Flows

Project Type: 
Past

This project team designed, implemented and assessed new and innovative techniques to improve the efficiency and predictive power of our simulations, hence increasing our understanding of the flow of fluid and gas.

Project Leader(s): 

Raymond Spiteri , University of Saskatchewan

Computational fluid dynamics (CFD) is a mathematical technique used by scientists and engineers to predict fluid flow, heat and mass transfer, chemical reactions and other related phenomena. Industries, such as aerospace, automotive and oil and gas, use CFD analyses to reduce the number of physical experiments needed when designing new products, thus saving resources and time. This project team designed, implemented and assessed new and innovative techniques to improve the efficiency and predictive power of our simulations, hence increasing our understanding of the flow of fluid and gas. Our accomplishments included working on robust numerical methods and software for the simulation of turbulence in chemically active gases and the noise created by driving with an open sun roof. Perhaps our most significant accomplishment was a stability proof that certain popular simulation algorithms for shock waves could lead to incorrect results, especially for long simulations, if not used with care. This project ended in 2008.

Project Website: 
Project team: 
Dr. Anne Bourlioux, Université de Montreal
Dr. Fue-Sang Lien, University of Waterloo
Funding period: 
April 1, 2021 - March 31, 2021