A 2D nonlinear multiring model for blood flow in large elastic arteries

摘要: In this paper, we propose a two-dimensional nonlinear "multiring" model for blood flow in axisymmetric elastic arteries. It is designed to overcome the numerical difficulties of three-dimensional fluid-structure interaction simulations without using oversimplifications necessary obtain one-dimensional models flow. This multiring derived by integrating over concentric rings fluid simplified long-wave Navier-Stokes equations coupled an arterial wall. The resulting system balance laws provides unified framework which both motion and displacement wall are dealt with simultaneously. mathematical structure allows us use finite volume method that guarantees conservation mass positivity solution can deal flows large deformations We show at reasonable computational cost asymptotically valid description velocity profiles other averaged quantities (wall shear stress, rate, ...) quasi-rigid particular, validate against well-known solutions such as Womersley or Poiseuille well steady boundary layer constricted expanded tubes.