Computation of flows with moving boundaries and fluid-structure interactions

An algorithm for the computation of steady and unsteady inviscid, compressible, two-dimensional flows is presented. Grid generation utilizes the quadtree spatial subdivision algorithm, allowing automatic meshing of boundaries of arbitrary geometry, and allowing h-adaptivity to geometric and solution features. Internal boundaries and interfaces may move, deform, coalesce, and disintegrate arbitrarily. The flow-solver is based on the MUSCL scheme. For moving boundaries, a novel feature of the algorithm is that the grid is stationary and boundaries are allowed to move across grid-lines. This is enabled by merging cells in the vicinity of boundaries to form composite cells that are topologically invariant during individual motion steps. This merging also eliminates the smallcell time-step constraint introduced by grid nonconformality. The motion of boundaries is tracked