Outflow Boundary Conditions for Arterial Networks with Multiple Outlets |
| |
Authors: | Leopold Grinberg George Em Karniadakis |
| |
Institution: | (1) Division of Applied Mathematics, Brown University, Providence, RI 02912, USA |
| |
Abstract: | Simulation of blood flow in three-dimensional geometrically complex arterial networks involves many inlets and outlets and
requires large-scale parallel computing. It should be based on physiologically correct boundary conditions, which are accurate,
robust, and simple to implement in the parallel framework. While a secondary closure problem can be solved to provide approximate
outflow conditions, it is preferable, when possible, to impose the clinically measured flow rates. We have developed a new
method to incorporate such measurements at multiple outlets, based on a time-dependent resistance boundary condition for the
pressure in conjunction with a Neumann boundary condition for the velocity. Convergence of the numerical solution for the
specified outlet flow rates is achieved very fast at a computational complexity comparable to the widely used Resistance or
Windkessel boundary conditions. The method is verified using a patient-specific cranial vascular network involving 20 arteries
and 10 outlets. |
| |
Keywords: | CFD Arterial tree High-order methods Parallel computing |
本文献已被 PubMed SpringerLink 等数据库收录! |
|