A subcycling/non-subcycling time advancement scheme-based sharp-interface immersed boundary method framework for solving fluid-structure interaction problems on dynamically adaptive grids

We present a fully Eulerian sharp-interface immersed boundary method to simulate fluid-structure interaction problems. The governing equations are solved using a finite-volume scheme on the blocked structured adaptive grids with both the subcycling and non-subcycling methods. A force-averaging technique is constructed to achieve excellent momentum conservation across the multiple levels of grid hierarchy. The geometry of the solid structure is described using a re-initialized level-set function, with which a novel local reconstruction of the solution near the immersed boundary is obtained based on the geometric information. Several numerical tests are presented to validate the accuracy and efficiency of the computational framework.