A PNPM-CPR Framework for Hyperbolic Conservation Laws

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

[2]  Marcel Vinokur,et al.  Spectral difference method for unstructured grids I: Basic formulation , 2006, J. Comput. Phys..

[3]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

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

[5]  John H. Kolias,et al.  A CONSERVATIVE STAGGERED-GRID CHEBYSHEV MULTIDOMAIN METHOD FOR COMPRESSIBLE FLOWS , 1995 .

[6]  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..

[7]  Zhi J. Wang,et al.  Adaptive high-order methods in computational fluid dynamics , 2011 .

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

[9]  Chris Lacor,et al.  On the Stability and Accuracy of the Spectral Difference Method , 2008, J. Sci. Comput..

[10]  John A. Ekaterinaris,et al.  High-order accurate, low numerical diffusion methods for aerodynamics , 2005 .

[11]  Marcel Vinokur,et al.  Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems , 2006, J. Comput. Phys..

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

[13]  Chi-Wang Shu Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .

[14]  Zhi J. Wang,et al.  Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation , 2002 .

[15]  Vincent Mousseau,et al.  A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids , 2010, J. Comput. Phys..

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

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

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

[19]  Li-Jun Xuan,et al.  A weighted-integral based scheme , 2010, J. Comput. Phys..

[20]  Michael Dumbser,et al.  A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes , 2008, J. Comput. Phys..

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

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

[23]  I. Bohachevsky,et al.  Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics , 1959 .