A Hermite WENO-Based Limiter for Discontinuous Galerkin Methods on Unstructured Grids

[1]  Rainald Löhner,et al.  High-Reynolds number viscous flow computations using an unstructured-grid method , 2005 .

[2]  Chaowei Hu,et al.  No . 98-32 Weighted Essentially Non-Oscillatory Schemes on Triangular Meshes , 1998 .

[3]  Michael A. Leschziner,et al.  Average-State Jacobians and Implicit Methods for Compressible Viscous and Turbulent Flows , 1997 .

[4]  Thomas Sonar,et al.  On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations : polynomial recovery, accuracy and stencil selection , 1997 .

[5]  S. Osher,et al.  Weighted essentially non-oscillatory schemes , 1994 .

[6]  Chi-Wang Shu,et al.  The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .

[7]  Chi-Wang Shu,et al.  Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters , 2005, SIAM J. Sci. Comput..

[8]  Rainald Löhner,et al.  A p-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids , 2006 .

[9]  Jianxian Qiu,et al.  Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case , 2005 .

[10]  Chi-Wang Shu,et al.  Efficient Implementation of Weighted ENO Schemes , 1995 .

[11]  O. Friedrich,et al.  Weighted Essentially Non-Oscillatory Schemes for the Interpolation of Mean Values on Unstructured Grids , 1998 .

[12]  Rainald Löhner,et al.  A fast, matrix-free implicit method for compressible flows on unstructured grids , 1998 .

[13]  Rainald Löhner,et al.  On the computation of steady‐state compressible flows using a discontinuous Galerkin method , 2008 .

[14]  George Em Karniadakis,et al.  The Development of Discontinuous Galerkin Methods , 2000 .

[15]  Rainald Löhner,et al.  Fast p-Multigrid Discontinuous Galerkin Method for Compressible Flows at All Speeds , 2008 .

[16]  Rémi Abgrall,et al.  On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation , 1994 .

[17]  Jianxian Qiu,et al.  Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case , 2004 .

[18]  E. Toro,et al.  Restoration of the contact surface in the HLL-Riemann solver , 1994 .

[19]  S. Osher,et al.  Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .