Research Expertise

Prof. Groth heads the CFD and Propulsion group at UTIAS. He is a theoretical and computational fluid dynamicist with expertise in high-performance computing/parallel algorithm design, adaptive mesh refinement (AMR), and finite-volume schemes for both compressible non-reacting and reactive flows. He also has expertise in the computation of non-equilibrium, rarefied, and magnetized flows, and the development of generalized transport models and solution methods following from kinetic theory. His numerical method research currently focuses on output-based anisotropic AMR for both steady and unsteady flows, high-order spatial and temporal discretization methods for flows with shocks, complexity reduction via moment closure methods, and data assimilation methods for performing data-driven simulations. He is currently pioneering the development and application of high-order and AMR methods for high-speed compressible flows of gases and plasmas, as well as reactive flows, and the formulation of accurate and robust moment closure techniques for describing a range of micro-physical transport phenomena in non-equilibrium, rarefied gases flows, as well as multi-phase flows associated with liquid fuel atomization and soot formation gas-turbine engines. He is also involved in fundamental numerical studies of laminar flames and the development of reliable and robust numerical techniques for performing large-eddy simulations (LES) of turbulent reactive flows. He has extensive experience in the simulation of gas-turbine combustor flows under high-pressure conditions through collaborative research efforts with various industrial partners, including Pratt & Whitney Canada, a leading manufacturer of gas turbine engines for aviation applications.

Research Highlights

Prof. Groth will give a Keynote Lecture at the upcoming 32nd International Symposium on Rarefied Gas Dynamics (RGD32) to be held in Seoul, South Korea, from July 4-8, 2022. Please see the link found here for further details.

Prof. Groth is a member of the Scientific Committee for the upcoming International Workshop on Moment Methods in Kinetic Theory IV to be held at the Karlsruhe Institute of Technology in Karlsruhe, Germany (postponed due to COVID-19). Please see the link found here for further details.

Prof. Groth was an invited speaker as part of the recent Workshop on Modelling and Numerical Simulation of Non-Equilibrium Processes Part 1 hosted by the Institute for Mathematical Sciences at the National University of Singapore and held from September 27 to October 1, 2021. He discussed is research on maximum-entropy closures for describing radiation transport in non-gray participating media.

As a Gaspard Monge Visiting Professor at the Centre de Mathematiques Appliquees (CMAP), École Polytechnique, Prof. Groth will be delivering a lecture series on Moment Closure Methods for Kinetic Equations of Complex Transport Phenomena and their Numerical Solution from February 27 - April 9, 2020. More information on this course can be found here.

Prof. Groth was awarded a Gaspard Monge Visiting Professorship by École Polytechnique in Paris for 2020. The program is aimed at internationally renowned researchers and generally senior experts or brilliant young scientists recognized internationally as leaders or future leaders in their scientific field. More information on the Gaspard Monge Visiting Professors Program can be found here.

Prof. Groth was also selected to receive a DND/NSERC Discovery Grant Supplement in the 2019 NSERC competition. More information on the DND/NSERC Discovery Grant Supplement program can be found here.


Research Program

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Accurate, Robust, and Scalable Computational Methods for Large-Scale Simulations of Multi-Scale Physically-Complex Flows

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Improved Numerical Combustion Models for Understanding and Predicting Soot and Other Pollutant Formation and Emissions in Aviation Gas Turbine Engines


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Improved Modelling for Dense and Disperse Regions of Liquid Sprays

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Development of LES Capabilities in Modeling Hydrogen Combustion in Slow and Fast Regimes for Application in Hydrogen Safety


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Adaptive High-Order Magnetosphere Simulation of Space Weather

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Numerical Modelling of Non-Equilibrium Gases and Plasmas