A Newton method using exact jacobians for solving fluidstructure coupling
This paper aims at introducing a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluidstructure interaction problems. We provide a method which characteristic lies in the use of exact cross jacobians evaluation involving the shape derivative of the fluid state with respect to solid motion perturbations. Numerical tests based on an implementation inside a 3D fluidstructure interaction code show how the exactness of the cross jacobians computation guarantee the overall convergence of the Newtons loop.
newton methods fluidstructure interaction navierstokes equations ale formulation full coupled schemes shape sensitivity analysis haemodynamics