Peano is a (PDE) solver framework that offers dynamically adaptive Cartesian meshes. The unique selling point of Peano is that it implements an inversion-of-control scheme and fuses both grid traversal and data management: The users are neither responsible for the data storage nor for the mesh traversal. They write their code solely in terms of ‘what happens if a mesh traversal runs into a cell’ or ‘what happens if a rank starts its traversal’. The orchestration of the resulting tasks, the realisation of the grid traversal order and the decision where to place data in memory then is delegated to the Peano framework.