A cell-centered Lagrangian method with the property of preservation of conservation and symmetry in two-dimensional cylindrical coordinates

We proposed a Godunov type cell-centered Lagrangian method for solving Euler equations of compressible gas dynamics in cylindrical coordinates. The method is discretized on the true volume and it can not only preserve the conservation property for all the conserved variables including mass, momentum and total energy but also preserve the one-dimensional spherical symmetry in two-dimensional cylindrical coordinates. The numerical results show the efficiency of the method.