An appropriate nonlinear blood flow model under the influence of periodic body acceleration through a multiple stenosed artery is investigated with the help of finite difference method. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible Newtonian fluid described by the Navier-Stokes equation. The nonlinear equation is solved numerically with the proper ...

We consider a viscous incompressible fluid flow governed by the Stokes system. We assume that a finite number of small inhomogeneities (particles) are immersed in the fluid. The reciprocity gap functional is introduced to describe the boundary data. An asymptotic formula for the reciprocity gap functional is derived. The obtained formulas can form the basis for very effective computational iden...

In this paper we examine two problems in steady incompressible viscous flow with a view to generating high-order perturbation solutions as regular expansions in powers of the Reynolds number. Thus, computer-algebra techniques are used to study the motions produced (a) by a Landau momentum source placed at the centre of a fluid-filled spherical shell, and (b) by a rotating sphere in both unbound...

In this paper, we provide a method of evaluating the efficacy of nonlinear subgridscale models for use in the large eddy simulation of incompressible viscous flow problems. We compare subgridscale “artificial” viscosity models using a posteriori error estimation and adaptive mesh refinement. Specifically, we compare α-Laplacian based subgridscale models and discuss the benefits and limitations ...

When an elastic filament spins in a viscous incompressible fluid it may undergo a whirling instability, as studied asymptotically by Wolgemuth, Powers, and Goldstein [Phys. Rev. Lett., 84 (2000), pp. 16–23]. We use the immersed boundary (IB) method to study the interaction between the elastic filament and the surrounding viscous fluid as governed by the incompressible Navier–Stokes equations. T...

In this paper we describe and analyze a two-level method for discretizing the equations of stationary, viscous, incompressible magnetohydrodynamics. The MHD equations model the ow of a viscous, incompressible, electrically conducting uid, interacting with magnetic and electric elds. These arise in plasma physics, nuclear reactor technology, and geophysics. The suggested algorithm involves solvi...

In this paper, some ideas for solving Navier-Stokes equations using fractional step techniques in combination with domain decomposition methods are introduced. Apart from its traditional use in a rational distribution of the computational work, the domain decomposition (DD) method can be a powerful tool when dealing with complex geometries, which can have moving parts. The CBS (Characteristic B...

Peristaltic transport of an incompressible electrically conducting viscous fluid in an inclined planar asymmetric channel is studied. The asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitude and phase. The closed form solutions of momentum and energy equation in presence of viscous dissipation term are obtained for long wave length and low Reynol...

Background. Compliance mismatch is a negative factor and it needs to be considered in arterial bypass grafting. Objective. A computational model was employed to investigate the effects of arterial compliance mismatch on blood flow, wall stress, and deformation. Methods. The unsteady blood flow was assumed to be laminar, Newtonian, viscous, and incompressible. The vessel wall was assumed to be l...

Submitted for the DFD08 Meeting of The American Physical Society Deformation of Elastic Particles in Viscous Shear Flow TONG GAO, HOWARD HU, University of Pennsylvania — The dynamics of two dimensional elastic particles in a Newtonian viscous shear flow is studied numerically. A constitutive equation is constructed for an incompressible “Neo-Hookean” elastic solid where the extra stress tensor ...