Unsteady viscous flow model on moving the domain through a stenotic artery

An unsteady Navier-Stokes (N-S) solver based on the method of operator spli tting and artificial compressibility has been studied for the moving bounda ry problem to simulate blood flow through a compliant vessel. Galerkin fini te element analysis is used to discretize the governing equations. The mode l has been applied to a time-varying computational domain (two-dimensional tube) as a test case for validation. Consideration has been given to retain ing the space conservation property. The same code is then applied to a hyp othetical critical high-pressure gradient over a short length of blood vess el based on the spring and dashpot model. The governing equation for the bl ood vessel is based on two-dimensional dynamic thin-shell theory that takes into account the curvature of the stenotic portion of the vessel. Progress ing the solution towards steady state is: considered, as the main objective is to show the viability of the current technique for fluid/structure inte ractions. Preliminary results of the wall velocity and displacement based o n steady state prediction agree well with data in the literature. Results, such as the streamlines, wall pressures and wall shear stress depict the po ssible progression of arterial disease.