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An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model. (English) Zbl 1259.82060

Summary: When modeling the cardiovascular system, the use of boundary conditions that closely represent the interaction between the region of interest and the surrounding vessels and organs will result in more accurate predictions. An often overlooked feature of outlet boundary conditions is the dynamics associated with regulation of the distribution of pressure and flow. This study implements a dynamic impedance outlet boundary condition in a one-dimensional fluid dynamics model using the pulmonary vasculature and respiration (feedback mechanism) as an example of a dynamic system. The dynamic boundary condition was successfully implemented and the pressure and flow were predicted for an entire respiration cycle. The cardiac cycles at maximal expiration and inspiration were predicted with a root mean square error of \(0.61\) and \(0.59\) mm Hg, respectively.

MSC:

82C21 Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics
92C35 Physiological flow
74S05 Finite element methods applied to problems in solid mechanics
68W40 Analysis of algorithms