A Novelly Designed Limiter for Nodal Discontinuous Galerkin Method with High-Order Accuracy

As hyperbolic conservation equations were solved by the discontinuous Galerkin(DG) method, non-physical effection usually took place and brought about the interruption of computing procedure, which restricted the application in CFD. Based on the Taylor expansion for the original physical variables on local elements, a novel limiter was designed by reconstruction of special derivative, which was used to eliminate the disadvantage of non-physical oscillation. The numerical results for the 2D Euler equation show that not only the shock wave location can be captured exactly but also an effective convergence rate can be achieved by this limiter.