A high-order Lagrangian cell-centered conservative gas dynamics scheme is presented on unstructured meshes.A high-order piecewise pressure of the cell is introduced.With the high-order piecewise pressure of the cell,the high-order spatial discretization fluxes are constructed.The time discretization of the spatial fluxes is performed by means of the Taylor expansions of the spatial discretization fluxes.The vertex velocities are evaluated in a consistent manner due to an original solver located at the nodes by means of momentum conservation.Many numerical tests are presented to demonstrate the robustness and the accuracy of the scheme.
