Implicit-explicit higher-order time integration schemes for computations of structural dynamics with fluid-structure interaction

In this paper higher order implicit Runge-Kutta schemes are applied to fluid-structure interaction (FSI) simulations. A staggered approach with a structural predictor is applied to an FSI problem. The equations governing the dynamics of the structure are integrated in time by the Explicit Single Diagonal Implicit Runge-Kutta (ESDIRK) schemes and the arbitrary high order finite volume scheme is taken as the fluid solver. The performance of the ESDIRK scheme of order of convergence three to five is tested. Comparative studies with other time integration schemes which have been successfully applied to FSI problems are undertaken. Comparisons to test the performance of the scheme are carried out. The staggered approach is applied to couple the structure and the compressible fluid, therefore the added mass effect is not considered. However the influence of the structural predictors is analyzed through energy conservation.