Adaptive, second-order, unconditionally stable partitioned method for fluid–structure interaction

We propose a novel, time adaptive, strongly-coupled partitioned method for the interaction between viscous, incompressible fluid and thin elastic structure . The integration is based on refactorized Cauchy’s one-legged ‘ θ − like’ method, which consists of backward Euler using τ n -time step forward ( 1 ) step. bulk computation done by , as equivalent to (and implemented as) linear extrapolation variable scheme combined with partitioned, kinematically coupled β scheme, used decouple sub-problems. In step, two sub-problems are solved in sequential manner, iterated until convergence. Then, post-processed/extrapolated finally adapted. development proposed midpoint rule when = 2 case non-dissipative second-order accurate. prove that sub-iterative process our algorithm linearly convergent, unconditionally stable ≥ numerical examples explore properties both fixed steps used, cases shown an excellent agreement reference solution.