A pulsatile 3D flow relevant to thoracic hemodynamics: CFD - 4D MRI comparison

Application Challenge AC7-04 © copyright ERCOFTAC 2021

Best Practice Advice

Key Fluid Physics

Application Uncertainties

Computational Domain and Boundary Conditions

Discretisation and Grid Resolution

Physical Modelling

Recommendations for Future Work

References

[1] T. Puiseux, Simulations numériques pour l’Imagerie par Résonance Magnétique à contraste de phase. PhD thesis, Universit de Montpellier, 2019.

[2] T. Puiseux, A. Sewonu, O. Meyrignac, H. Rousseau, F. Nicoud, S. Mendez, and R. Moreno, “Reconciling PC-MRI and CFD: an in-vitro study,” NMR in Biomedicine, vol. 32, no. 5, p. e4063, 2019.

[3] T. Puiseux, A. Sewonu, R. Moreno, S. Mendez, and F. Nicoud, “Numerical simulation of time-resolved 3d phase-contrast magnetic resonance imaging,” PLoS ONE, vol. 16, no. 3, p. e0248816, 2021.

[4] V. Moureau and G. Lartigue, “YALES2.” https://www.coria-cfd.fr/index.php/YALES2, 2021. Accessed: 2021-06-25.

[5] V. Moureau, P. Domingo, and L. Vervisch, “Design of a massively parallel CFD code for complex geometries,” Comptes Rendus Mecanique, vol. 339, no. 2, p. 141–148, 2011.

[6] V. Moureau, P. Domingo, and L. Vervisch, “From large-eddy simulation to direct numerical simulation of a lean premixed swirl flame: Filtered laminar flame-pdf modeling,” Combustion and Flame, vol. 158, p. 1340–1357, 2011.

[7] A. Chorin, “Numerical solution of the Navier-Stokes equations,” Mathematics of Computation, vol. 22, p. 745–762, 1968.

[8] C. Chnafa, S. Mendez, and F. Nicoud, “Image-based large-eddy simulation in a realistic left heart,” Computers & Fluids, vol. 94, p. 173–187, 2014.

[9] M. Malandain, N. Maheu, and V. Moureau, “Optimization of the deflated conjugate gradient algorithm for the solving of elliptic equations on massively parallel machines,” Journal of Computational Physics, vol. 238, no. Supplement C, pp. 32–47, 2013.

[10] S. Mendez and F. Nicoud, “YALES2BIO.” https://imag.umontpellier.fr/~yales2bio/, 2021. Accessed: 2021-06-25.

[11] J. Kim and P. Moin, “Application of a fractional-step method to incompressible Navier-Stokes equations,” Journal of Computational Physics, vol. 59, no. 2, pp. 308–323, 1985.

[12] F. Nicoud, H. Toda, O. Cabrit, S. Bose, and J. Lee, “Using singular values to build a subgrid-scale model for large eddy simulations,” Physics of Fluids, vol. 23, no. 8, p. 085106, 2011.

[13] F. Nicoud, C. Chnafa, J. Sigüenza, V. Zmijanovic, and S. Mendez, Large-Eddy Simulation of Turbulence in Cardiovascular Flows, pp. 147–167. Cham: Springer International Publishing, 2018.

[14] H. Baya Toda, O. Cabrit, K. Truffin, G. Bruneaux, and F. Nicoud, “Assessment of subgrid-scale models with an les-dedicated experimental database: the pulsatile impinging jet in turbulent cross- flow,” Physics of Fluids, vol. 26, no. 7, p. 075108, 2014.

[15] J. Sigüenza, S. Mendez, D. Ambard, F. Dubois, F. Jourdan, R. Mozul, and F. Nicoud, “Validation of an immersed thick boundary method for simulating fluid-structure interactions of deformable membranes,” Journal of Computational Physics, vol. 322, pp. 723– 746, 2016.

[16] S. Pope, Turbulent Flows. Cambridge University Press, 2000.

[17] A. Yoshizawa and K. Horiuti, “A statistically-derived subgrid-scale kinetic energy model for the large-eddy simulation of turbulent flows,“ Journal of the Physical Society of Japan, vol. 54, no. 8, pp. 2834–2839, 1985.

[18] D. Steinman, C. Ethier, and B. Rutt, “Combined analysis of spatial and velocity displacement artifacts in phase contrast measurements of complex flows,” Journal of Magnetic Resonance, vol. 7, no. 2, pp. 339–346, 1997.

[19] C. Chnafa, S. Mendez, and F. Nicoud, “Image-based simulations show important flow fluctuations in a normal left ventricle: What could be the implications?,” Annals of Biomedical Engineering, vol. 44, no. 11, p. 3346–3358, 2016.

Contributed by: Morgane Garreau — University of Montpellier, France