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A novel periodic boundary condition for computational hemodynamics studies.

Fereshteh Bahramian¹, Hadi Mohammadi²

¹Division of Mechanical Engineering, School of Engineering, Faculty of Applied Science, The University of British Columbia, Kelowna, BC, Canada.

Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine

|July 13, 2014

Summary

A new mass flow-based periodic boundary condition improves computational fluid dynamics simulations for hemodynamics. This method accelerates simulations and simplifies achieving accurate fluid flow predictions.

Keywords:

Finite volume method computational fluid dynamics direct numerical solution heart valve prostheses large eddy simulation turbulence vascular hemodynamics

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Area of Science:

Computational fluid dynamics
Hemodynamics
Turbulent flow modeling

Background:

Accurate fluid flow prediction in hemodynamics is hindered by unrealistic boundary conditions.
Modeling entire cardiovascular systems for realistic boundary conditions is computationally infeasible.
Periodic boundary conditions are effective for simulating fully developed turbulent flows in hemodynamics, reducing computational domain size.

Purpose of the Study:

To propose a novel periodic boundary condition for computational fluid dynamics models in hemodynamics.
To address the limitations of current boundary conditions in hemodynamic simulations.
To enhance the efficiency and accuracy of fluid flow predictions.

Main Methods:

Development of a novel periodic boundary condition based on mass flow.
Application and validation of the proposed boundary condition on a square duct model.
Utilizing large eddy simulation and dynamic numerical solution methods.

Main Results:

The mass-based periodic boundary condition was successfully validated on a square duct.
Simulations using the mass-based condition achieved solutions approximately 15% faster than conventional methods.
The mass-based condition allows for direct specification of mass flow, enabling single simulations for a given Reynolds number.

Conclusions:

The proposed mass-based periodic boundary condition offers significant advantages for hemodynamics simulations.
This novel approach accelerates simulation times and simplifies the process of obtaining accurate fluid flow predictions.
The method is particularly beneficial for studies involving fully developed turbulent flows in reduced computational domains.