A Partial Domain Approach to Enable Aortic Flow Simulation Without Turbulent Modeling
Analysis of hemodynamics shows great potential to provide indications for the risk of cardiac malformations and is essential for diagnostic purposes in clinical applications. Computational fluid dynamics (CFD) has been established as a valuable tool for t
- PDF / 1,833,727 Bytes
- 8 Pages / 439.363 x 666.131 pts Page_size
- 3 Downloads / 183 Views
Computer Vision Lab., Swiss Federal Institute of Technology, Z¨ urich, Switzerland [email protected] 2 Inst. of Applied Simulation, Zurich University of Applied Sciences, W¨ adenswil, Switzerland 3 Inst. for Biomed. Eng., Swiss Federal Institute of Technology, Z¨ urich, Switzerland
Abstract. Analysis of hemodynamics shows great potential to provide indications for the risk of cardiac malformations and is essential for diagnostic purposes in clinical applications. Computational fluid dynamics (CFD) has been established as a valuable tool for the detailed characterization of volumetric blood flow and its effects on the arterial wall. However, studies concentrating on the aortic root have to take the turbulent nature of the flow into account while no satisfactory solution for such simulations exists today. In this paper we propose to combine magnetic resonance imaging (MRI) flow acquisitions, providing excellent data in the turbulent regions while showing only limited reliability in the boundary layer, with CFD simulations which can be used to extrapolate the measured data towards the vessel wall. The solution relies on a partial domain approach, restricting the simulations to the laminar flow domain while using MRI measurements as additional boundary conditions to drive the numerical simulation. In this preliminary work we demonstrate the feasibility of the method on flow phantom measurements while comparing actually measured and simulated flow fields under straight and spiral flow regimes.
1
Introduction
A wide range of flow problems can be approximated using computer assisted numerical methods. The physics of the flow field is described by the NavierStokes equations in terms of non-linear partial differential equations. Usually an analytical solution does not exist (except for simple geometries). Therefore, the governing equations are discretized resulting in an algebraic system of equations. Simplifications can be applied depending on, e.g., the compressibility and/or viscosity of the fluid. In biomechanical studies, the blood flow is usually approximated with a divergence-free assumption in large arteries.
This work was supported by the Swiss National Science Foundation grant 320030149567.
c Springer International Publishing Switzerland 2015 N. Navab et al. (Eds.): MICCAI 2015, Part II, LNCS 9350, pp. 544–551, 2015. DOI: 10.1007/978-3-319-24571-3_65
A Partial Domain Approach to Enable Aortic Flow Simulation
545
Analysis of hemodynamics shows great potential to provide indications for the risk of cardiac malformations and is essential for diagnostic purposes in clinical applications [4]. In the last decade, combined studies based on computational fluid dynamics and magnetic resonance imaging have been under extensive research. Recent advances in three-directional velocity encoded phase contrast MRI [2] enable to capture complex flow patterns within the arteries including the aortic root. Some major drawbacks of MRI are the limitations with respect to signal-to-noise ratio, resolution and partial volume effects, whic
Data Loading...
