A UNIFYING DISCONTINUOUS FORMULATION FOR HYBRID MESHES

[1]  S. Orszag,et al.  Numerical investigation of transitional and weak turbulent flow past a sphere , 2000, Journal of Fluid Mechanics.

[2]  Per-Olof Persson,et al.  The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems , 2007, SIAM J. Sci. Comput..

[3]  Michael Dumbser,et al.  PNPM SCHEMES ON UNSTRUCTURED MESHES FOR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS , 2011 .

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

[5]  V. C. Patel,et al.  Flow past a sphere up to a Reynolds number of 300 , 1999, Journal of Fluid Mechanics.

[6]  Tim Warburton,et al.  An explicit construction of interpolation nodes on the simplex , 2007 .

[7]  Claus-Dieter Munz,et al.  Polymorphic nodal elements and their application in discontinuous Galerkin methods , 2009, J. Comput. Phys..

[8]  W. H. Reed,et al.  Triangular mesh methods for the neutron transport equation , 1973 .

[9]  Haiyang Gao,et al.  A High-Order Unifying Discontinuous Formulation for 3D Mixed Grids , 2010 .

[10]  S. Rebay,et al.  A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier-Stokes Equations , 1997 .

[11]  Jan S. Hesthaven,et al.  From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex , 1998 .

[12]  Chi-Wang Shu,et al.  Total variation diminishing Runge-Kutta schemes , 1998, Math. Comput..

[13]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[14]  S. Rebay,et al.  High-Order Accurate Discontinuous Finite Element Solution of the 2D Euler Equations , 1997 .

[15]  H. T. Huynh,et al.  A Flux Reconstruction Approach to High-Order Schemes Including Discontinuous Galerkin Methods , 2007 .

[16]  Zhi Jian Wang,et al.  A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids , 2009, J. Comput. Phys..

[17]  H. T. Huynh.  HIGH-ORDER METHODS BY CORRECTION PROCEDURES USING RECONSTRUCTIONS , 2011 .

[18]  Chi-Wang Shu,et al.  The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .

[19]  Douglas N. Arnold,et al.  Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems , 2001, SIAM J. Numer. Anal..

[20]  Zhi J. Wang,et al.  Fast, Block Lower-Upper Symmetric Gauss-Seidel Scheme for Arbitrary Grids , 2000 .

[21]  Chi-Wang Shu,et al.  TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .

[22]  Meng-Sing Liou,et al.  A sequel to AUSM, Part II: AUSM+-up for all speeds , 2006, J. Comput. Phys..

[23]  Z. Wang,et al.  Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids , 2002 .

[24]  S. Rebay,et al.  GMRES Discontinuous Galerkin Solution of the Compressible Navier-Stokes Equations , 2000 .

[25]  Z. Wang.  High-order methods for the Euler and Navier–Stokes equations on unstructured grids , 2007 .

[26]  P. Frederickson,et al.  Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction , 1990 .