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The existing central discontinuous Galerkin methods for conservation laws are defined on structured overlapping meshes.Therefore, the methods are only applied to problems defined on simple domains, such as rectangle, L-shape domain.In order to extend the methods to more complex domains, we present a central discontinuous Galerkin method defined on unstructured overlapping meshes for the two dimensional Euler equations.The primal mesh is a triangulation of the computational domain,while the dual mesh is a quadrangular partition which is formed by connecting an interior point and the three vertexes of each triangle in the primal mesh.The performance of the proposed methods will be demonstrated through a set of numerical experiments.