Mixed finite element analysis for generalized Darcy–Forchheimer model in porous media

2019 ◽  
Vol 353 ◽  
pp. 191-203 ◽  
Author(s):  
J.D. Audu ◽  
F. Fairag ◽  
K. Mustapha
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Porous Media ◽  
Mixed Finite Element ◽  
Element Analysis ◽  
Forchheimer Model

Differences in hemodynamic characteristics under high packing density between the porous media model and finite element analysis in computational fluid dynamics of intracranial aneurysm virtual treatment

2019 ◽  
Vol 11 (8) ◽  
pp. 853-858 ◽  
Author(s):  
Yeqing Jiang ◽  
Liang Ge ◽  
Ruoyu Di ◽  
Gang Lu ◽  
Lei Huang ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Porous Media ◽  
Packing Density ◽  
Parent Artery ◽  
Element Analysis ◽  
Lower Velocity ◽  
High Packing Density ◽  
Fea Model ◽  
Porous Media Model

ObjectiveThis study aimed to compare the hemodynamic differences among no sac (NOS), porous media (POM) and finite element analysis (FEA) models to investigate the recurrence-related risks for coiled intracranial aneurysms (IAs).MethodsThe study enrolled 10 patients with 11 IAs who received simple coiling treatment and hemodynamic simulations were performed for all IAs using the above three models. Velocity, wall shear stress (WSS) and residual flow volume (RFV) were calculated and compared in order to assess the model differences for both aneurysm sac and parent vessel regions.ResultsFor parent artery regions, all three models produced similar flow patterns and quantification analysis did not indicate differences in velocity and WSS (p>0.05). For aneurysm sac regions, the FEA model resulted in higher sac-maximized (0.18 m/s vs 0.06 m/s) and sac-averaged velocity (0.013 m/s vs 0.007 m/s), and higher sac-averaged (0.55 Pa vs 0.36 Pa, p=0.006) and sac-maximized WSS (12.1 Pa vs 6.6 Pa) than the POM model. The differences in RFV between the POM and FEA models under 11 different isovelocity thresholds (0.0001 m/s, 0.001 m/s, 0.002 m/s, 0.005 m/s, 0.01 m/s, 0.02 m/s, 0.05 m/s, 0.1 m/s, 0.2 m/s, 0.5 m/s, and 1 m/s) showed that the POM RFV was generally larger than those of the FEA model.ConclusionsCompared with the FEA model, the POM model provides a lower velocity and WSS and higher RFV for the aneurysm sac, which could lead to incorrect estimates of the recurrent risk of coiled IAs under high packing density.

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