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Caltech

GALCIT Colloquium

Friday, June 2, 2023
3:00pm to 4:00pm
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Guggenheim 133 (Lees-Kubota Lecture Hall)
Toward real-time simulation of cardiorespiratory flows
Mahdi Esmaily Moghadam, Assistant Professor, Sibley School of Mechanical and Aerospace Engineering, Cornell University,

Modeling blood flow in the circulatory system is a crucial piece for customizing surgical operations for individual patients. However, the industrial-scale deployment of this technology is partly hindered by the prohibitive cost of existing CFD solvers. This talk introduces a time-spectral solver to address this challenge. Since cardiorespiratory flows have periodic and smooth dynamics, they can be well-approximated in the discrete setting using only a handful of Fourier modes. That small number, when compared to thousands of time steps required in a conventional CFD solver, implies orders of magnitude reduction in simulation cost. Additionally, the new method enables time parallelization as the computations across Fourier modes can be distributed across multiple processors. A significant portion of this presentation will be devoted to discussing the finite element method for solving the Navier-Stokes equations in the frequency domain. Cumulatively, the improvements offered by the new formulation can reduce the cost of a typical cardiorespiratory simulation from hours to seconds.

For more information, please contact Nathaniel Wei and Peter Gunnarson by email at [email protected].