A second-order changing-connectivity ALE scheme and its application to FSI with large convection of fluids and near contact of structures

摘要: We propose a second-order characteristic-inclined changing-connectivity arbitrary Lagrangian-Eulerian (ALE) scheme. It does not explicitly calculate the characteristics but allows discretization. Large mesh distortions are prevented by smoothing and edge/face swapping techniques. The resulting semi-implicit scheme can therefore handle problems with large deformation of domain strong convection fluid. fact that we only need to solve linear system equations for near symmetric matrix in each time step makes very appealing. use standard P m / - 1 ( ? 2 ) or -bubble = finite elements prove converges at rate O Δ t + h incompressible Navier-Stokes (NSE) case. This gives optimal convergence when . To this result, introduce new interpolation operator which is easy implement enables us keep even if change connectivity every step. Numerical tests also confirm our theoretical results. then apply ALE fluid structure interaction (FSI) may contain fluids contact structures. stability fully discrete second order FSI numerically using recently proposed 2D manufactured solution FSI. In example, part become arbitrarily narrow before going back normal. flow around rotating rigid elastic crosses induced opening near-closing heart valve performed.