P. F. Fischer, F. Loth, S. E. Lee, S.-W. Lee, D. S. Smith, H. S. Bassiouny, "Simulation of High Reynolds Number Vascular Flows," Preprint ANL/MCS-P1337-0306, March 2006. [pdf]
In this paper, we discuss temporal and spatial resolution requirements for direct numerical simulation in two cases where turbulence is commonly found in the vasculature, namely, in a stenosed carotid artery and in the venous anastomosis of an arteriovenous graft. We also describe recent developments in the spectral element method designed specifically for the simulation of high-Reynolds number vascular flows. The paper is organized as follows. Section 2 presents an outline of the spectral element method, including a discussion of the transport properties relevant to high-Reynolds number flow simulation. Section 3 discusses the imposition of flow division and treatment of outflow boundary conditions for turbulent flows. Section 4 briefly describes our mesh generation procedure. Section 5 presents the results of grid convergence studies for two turbulent flow cases, including experimental validation results. Section 6 closes with a brief summary.