Abstract #2592

Finite-Element Computational Fluid Dynamics Simulations Constrained by Phase-Contrast MRI Data

Giordanno B. F. Borges¹, Ivan R. Siqueira², Joao L. A. Carvalho³, Jon-Fredrik Nielsen⁴, and Vinicius C. Rispoli⁵

¹Department of Mathematics, University of Brasilia, Brasilia, Brazil, ²Department of Mechanical Engineering, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro, Brazil, ³Department of Electrical Engineering, University of Brasilia, Brasilia, Brazil, ⁴Biomedical Engineering, University of Michigan, Ann Arbor, MI, United States, ⁵UnB Gama College, University of Brasilia, Brasilia, Brazil

Phase-contrast MRI (PC-MRI) data has been vastly used as boundary conditions in computational fluid dynamics (CFD) simulations. Recently, many authors also used measured flow data to enforce CFD solutions, based on the finite volume method (FVM). On the other hand, the finite element method (FEM) has notable advantages over FVM, such as higher order accuracy and more flexibility dealing with complex geometries. This work presents a finite-element implementation of a MRI-constrained CFD solver. This hybrid solver can be used to regularize PC-MRI data, providing solutions closer to the PC-MRI measurements than pure CFD. Feasibility of this approach is demonstrated using a modified 2D discretization of the Navier-Stokes and continuity equations, using FEM. In this demonstration, two velocity components were taken from a 4D PC-MRI dataset, and used to constrain the CFD solution over a 2D domain.

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