A quasi-Newton method for a fluid-structure problem arising in blood flows

摘要

We propose a quasi-Newton algorithm for solving the interface problem arising in fluid-structure simulations. The basic idea of the method is to build an approximate tangent operator which is cheap to evaluate and which takes into account the so-called added mass effect. In a 2D simulation modeling the propagation of a pressure wave in a portion of artery, our method allows a significant reduction of the computational cost compared to fixed point algorithms.