  We present CubismAMR, a C++ library for distributed simulations with
block-structured grids and Adaptive Mesh Refinement. A numerical method to
solve the incompressible Navier-Stokes equations is proposed, that comes with a
novel approach of solving the pressure Poisson equation on an adaptively
refined grid. Validation and verification results for the method are presented,
for the flow past an impulsively started cylinder.
