2021/05/31 by Chennakesava Kadapa, Kadapa, Chennakesava
Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA) #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.2105.14831
openalex publication_date 2021/05/31 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28
Robin boundary conditions are a natural consequence of employing Nitsche's method for imposing the kinematic velocity constraint at the fluid-solid interface. Loosely-coupled FSI schemes based on Dirichlet-Robin or Robin-Robin coupling have been demonstrated to improve the stability of such schemes with respect to added-mass. This paper aims to offer some numerical insights into the performance characteristics of such loosely-coupled FSI schemes based on Robin boundary conditions. Using numerical examples, we demonstrate that the improved stability due to the added damping term is actually at the expense of important dynamic characteristics of the structural sub-problem.