Edge-based schemes on moving hybrid meshes in the NOISEtte code

In the present paper we describe edge-based schemes on moving meshes with constant mesh topology. Nodal velocities are assumed to be consant during timestep. For time integration explicit multi-stage Runge–Kutta methods and 1- or 2-step backward differentiation formulae are used. Conservation and geometric conservation are proved. Performance of the algorithm is analyzed by solving test problems.