A new two-dimensional blood flow model with arbitrary cross sections

A new two-dimensional model for blood flows in arteries with arbitrary cross sections is derived. The domain consists of a narrow, large vessel that extends along an axial direction, described by radial and angular coordinates. system balance laws conservation mass momentum the directions. equations are derived applying asymptotic analysis to incompressible Navier-Stokes moving elastic membrane, integrating direction each section. resulting hyperbolic source terms. main properties discussed positivity-preserving well-balanced central-upwind scheme presented. merits will be tested variety scenarios. In particular, simulations using idealized aorta shown. We analyze time evolution flow under different initial conditions such as perturbations steady states, which parametrizes bulging vessel’s wall. consider situations given distinct variations elasticity.