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Abstract
The Streamline-Upwind/Petrove-Galerkin (SUPG) technique is used to study the behavior of incompressible viscous fluids in elastic tubes. The unsteady two dimensional Navier-Stokes equations along with the continuity equation are used for the simulation. The continuity equation is modified by adding an artificial viscosity term for the pressure to overcome the well-known problem of the continuity equation being a constraint equation rather than an evolution equation. The deformability of the boundary is accounted for by treating the boundary as a simply supported beam under transverse unsteady distributed load, namely the fluid pressure. The principle of minimum potential energy in elasticity in the case of bending in the regime of small deflections is used to model the boundary deflection. The current model is then used to study blood flow in elastic large arteries with an apparent degree of success