Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries.

Irene Vignon-Clementel 1, * C. A. Figueroa 2 K. E. Jansen 3 C. A. Taylor 2
* Corresponding author
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : The simulation of blood flow and pressure in arteries requires outflow boundary conditions that incorporate models of downstream domains. We previously described a coupled multidomain method to couple analytical models of the downstream domains with 3D numerical models of the upstream vasculature. This prior work either included pure resistance boundary conditions or impedance boundary conditions based on assumed periodicity of the solution. However, flow and pressure in arteries are not necessarily periodic in time due to heart rate variability, respiration, complex transitional flow or acute physiological changes. We present herein an approach for prescribing lumped parameter outflow boundary conditions that accommodate transient phenomena. We have applied this method to compute haemodynamic quantities in different physiologically relevant cardiovascular models, including patient-specific examples, to study non-periodic flow phenomena often observed in normal subjects and in patients with acquired or congenital cardiovascular disease. The relevance of using boundary conditions that accommodate transient phenomena compared with boundary conditions that assume periodicity of the solution is discussed.
Complete list of metadatas

https://hal.inria.fr/inria-00542731
Contributor : Irene Vignon-Clementel <>
Submitted on : Friday, December 3, 2010 - 1:50:23 PM
Last modification on : Friday, July 26, 2019 - 1:44:04 PM
Long-term archiving on : Friday, March 4, 2011 - 3:35:02 AM

File

RCRpost.pdf
Files produced by the author(s)

Identifiers

Citation

Irene Vignon-Clementel, C. A. Figueroa, K. E. Jansen, C. A. Taylor. Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries.. Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis, 2010, 13 (5), pp.625-640. ⟨10.1080/10255840903413565⟩. ⟨inria-00542731⟩

Share

Metrics

Record views

619

Files downloads

915