A fictitious domain/distributed Lagrange multiplier based fluid–structure interaction scheme with hierarchical B-Spline grids

摘要: Abstract We present a numerical scheme for fluid–structure interaction based on hierarchical B-Spline grids and fictitious domain/distributed Lagrange multipliers. The incompressible Navier–Stokes equations are solved over Cartesian grid discretised with B-Splines. fluid near the immersed solids is refined locally using solid modelled as geometrically-exact beam standard linear shape functions. kinematic constraint at fluid–solid interface enforced distributed unconditionally-stable second-order accurate generalised- α method used integration in time both domains. A fully-implicit fully-coupled solution developed by Newton–Raphson to solve non-linear system of obtained Galerkin weak formulation. First, spatial temporal convergence proposed assessed studying steady unsteady flow past fixed cylinder. Then, applied several benchmark problems demonstrate efficiency robustness scheme. results compared reference values.