Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries
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An approach for prescribing lumped parameter outflow boundary conditions that accommodate transient phenomena is presented and applied to compute haemodynamic quantities in different physiologically relevant cardiovascular models to study non-periodic flow phenomena often observed in normal subjects and in patients with acquired or congenital cardiovascular disease.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.read more
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References
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Book
McDonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles
TL;DR: The nature and flow of a fluid properties of the normanl arterial wall changes to properties of that wall pulsatile pressure flow relationships measuring principles of arterial waves ultrasonic techniques and measurements contour of pressure and flow waves in arteries wave reflection are studied.
Journal ArticleDOI
Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions.
TL;DR: Comparison between the simulations and magnetic resonance measurements in the ascending aorta and nine peripheral locations in one individual shows excellent agreement between the two.
Journal ArticleDOI
Analog studies of the human systemic arterial tree.
TL;DR: The performance of this electrical model is compared extensively to its real counterpart in the following areas: magnitude and phase of input impedances, wave travel along the aorta, and wave shapes of pressures and flows at different locations.
Journal ArticleDOI
Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries
TL;DR: Outflow boundary conditions are derived for any downstream domain where an explicit relationship of pressure as a function of flow rate or velocities can be obtained at the coupling interface.
Journal ArticleDOI
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
TL;DR: In this article, the authors propose an approach to couple the original 3D equations with a convenient 1D model for the analysis of flows in compliant vessels, which allows for a dramatic reduction of the computational complexity and is suitable for ''absorbing» outgoing pressure waves.