Abstract. Wave-propagation methods are high-resolution Godunov methods that are written in a general framework that can easily be applied to a wide variety of hyperbolic equations, whether or not they are in conservation form. These methods form the basis for the CLAWPACK software, which only requires the user to provide a Riemann solver for the equations to be solved. Recently a new version of this software has been developed with new capabilities. This BEARCLAW software is briefly reviewed along with some recent developments in wave-propagation methods. A sample calculation is presented showing an adaptively refined solution on a moving grid for a gas dynamics problem in a tube with a flexible elastic boundary.