A mass conservative scheme for fluid-structure interaction problems by the staggered discontinuous Galerkin method (Q1743425)

The paper deals with the numerical solution of fluid-structure interaction problems. The motion of the fluid is described by the incompressible Navier-Stokes equations and the fluid-structure interaction is realized by the immersed boundary method. To ensure the mass conservation, the staggered discontinuous Galerkin method is used. In addition, by using a local postprocessing technique, the weakly divergence free velocity can be used to compute a new postprocessed velocity, which is exactly divergence free and has a superconvergence property. Moreover, the energy stability is improved by the skew-symmetric discretization of the convection term. Several numerical results showing the performance of the method are included.