Spectral element methods for transitional flows in complex geometries. (English) Zbl 1001.76075

Fischer, Paul F.; Kruse, Gerald W.; Loth, Francis

J. Sci. Comput. 17, No. 1-4, 81-98 (2002).

Summary: We describe the development and implementation of a spectral element code for simulating transitional flows in complex three-dimensional domains. Critical to this effort is the use of geometrically nonconforming elements that allow localized refinement in regions of interest, coupled with a stabilized high-order time-split formulation of semi-discrete Navier-Stokes equations. Simulations of transition in a model of an arteriovenous graft illustrate the potential of this approach in biomechanical applications.

MSC:

76M22	Spectral methods applied to problems in fluid mechanics
76D05	Navier-Stokes equations for incompressible viscous fluids
76Z05	Physiological flows

Keywords:

spectral element code; transitional flows; geometrically nonconforming elements; biofluid dynamics; stabilized high-order time-split formulation; semi-discrete Navier-Stokes equations; arteriovenous graft