We investigate a patient specific blood flow simulation through a transverse aortic arch with a moderate thoracic aortic coarctation, where particular attention is paid to the blood pressure gradient through the coarctation. The challenge in this context is the complex geometry containing a stenosis, which results in complex flow patterns. The fluid is assumed to be incompressible and Newtonian. Its dynamic is usually described by an Navier-Stokes equation with appropriate boundary conditions. Instead, we modeled the problem mesoscopically by a family of BGK-Boltzmann equations those solutions reaches that of a corresponding Navier-Stokes system in a certain limit. For discretization we take advantage of lattice Boltzmann methods, which are realized within the open-source library OpenLB. A realistic transient flow profile of the cardiac output for a human at rest was used to specify the inflow boundary condition at the aortic root, whereas the outflow at the descending aorta was modeled by a pressure boundary condition. A short introduction to lattice Boltzmann methods is provided and especially the used boundary conditions are introduced in detail. The exact simulation setup is stated and the obtained results are discussed. © 2013 Springer-Verlag.
CITATION STYLE
Henn, T., Heuveline, V., Krause, M. J., & Ritterbusch, S. (2013). Aortic coarctation simulation based on the lattice Boltzmann method: Benchmark results. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7746 LNCS, pp. 34–43). https://doi.org/10.1007/978-3-642-36961-2_5
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