A well-balanced finite volume scheme for 1D hemodynamic simulations
  We are interested in simulating blood flow in arteries with variable elasticity with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations context. We thus get a mass conservative scheme which also preserves equilibria of Q=0. This numerical method is tested on analytical tests. 
Olivier Delestre (JAD), Pierre-Yves Lagr\'ee (IJLRA)
math.NA cs.NA