Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation
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[1] H. Keller,et al. Analysis of Numerical Methods , 1969 .
[2] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems , 1989 .
[3] Jaime Peraire,et al. An implicit finite element method for high speed flows , 1991 .
[4] B. Leer,et al. Flux-vector splitting for the Euler equations , 1997 .
[5] Chi-Wang Shu. TVB uniformly high-order schemes for conservation laws , 1987 .
[6] Chaowei Hu,et al. No . 98-32 Weighted Essentially Non-Oscillatory Schemes on Triangular Meshes , 1998 .
[7] Chi-Wang Shu,et al. Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy , 2000 .
[8] Dimitri J. Mavriplis,et al. Multigrid solution of the Navier-Stokes equations on triangular meshes , 1989 .
[9] Zhi J. Wang,et al. Anisotropic Cartesian grid method for viscous turbulent flow , 2000 .
[10] Chi-Wang Shu. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .
[11] Chi-Wang Shu,et al. Efficient Implementation of Weighted ENO Schemes , 1995 .
[12] S. Osher. Riemann Solvers, the Entropy Condition, and Difference , 1984 .
[13] B. V. Leer,et al. Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme , 1974 .
[14] Yannis Kallinderis,et al. Hybrid Prismatic/Tetrahedral Grid Generation for Viscous Flows Around Complex Geometries , 1996 .
[15] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[16] Thomas Sonar,et al. On Families of Pointwise Optimal Finite Volume ENO Approximations , 1998 .
[17] S. Rebay,et al. High-Order Accurate Discontinuous Finite Element Solution of the 2D Euler Equations , 1997 .
[18] Bryan E. Richards,et al. High resolution schemes for steady flow computation , 1991 .
[19] B. V. Leer,et al. Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .
[20] Jay P. Boris,et al. Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works , 1973 .
[21] Harold L. Atkins,et al. A Finite-Volume High-Order ENO Scheme for Two-Dimensional Hyperbolic Systems , 1993 .
[22] Yen Liu,et al. Quadratic reconstruction finite volume schemes on 3D arbitrary unstructured polyhedral grids , 1999 .
[23] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .
[24] Chi-Wang Shu,et al. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .
[25] S. Osher,et al. Weighted essentially non-oscillatory schemes , 1994 .
[26] A. Harten. ENO schemes with subcell resolution , 1989 .
[27] O. Friedrich,et al. Weighted Essentially Non-Oscillatory Schemes for the Interpolation of Mean Values on Unstructured Grids , 1998 .
[28] J. Steger,et al. Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods , 1981 .
[29] Harold L. Atkins,et al. QUADRATURE-FREE IMPLEMENTATION OF DISCONTINUOUS GALERKIN METHOD FOR HYPERBOLIC EQUATIONS , 1996 .
[30] I. Bohachevsky,et al. Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics , 1959 .
[31] Chi-Wang Shu. Total-variation-diminishing time discretizations , 1988 .
[32] C. Angelopoulos. High resolution schemes for hyperbolic conservation laws , 1992 .
[33] V. N. Venkatakrishnan,et al. Implicit Solvers for Unstructured Meshes , 1993 .
[34] P. Roe. The 'optimum' upwind advection on a triangular mesh , 1990 .
[35] Rémi Abgrall,et al. On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation , 1994 .
[36] A. Khawajay,et al. Hybrid Prismatic/tetrahedral Grid Generation for Complex Geometries , 1996 .
[37] David L. Book,et al. Flux-corrected transport II: Generalizations of the method , 1975 .
[38] S. Osher,et al. Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .
[39] Z. Wang. A fast flux-splitting for all speed flow , 1997 .
[40] Stanley Osher,et al. Upwind schemes and boundary conditions with applications to Euler equations in general geometries , 1983 .
[41] P. Frederickson,et al. Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction , 1990 .
[42] David A. Kopriva,et al. Multidomain spectral solution of the Euler Gas-dynamics equations , 1991 .
[43] Rainald Loehner,et al. On the computation of compressible turbulent flows on unstructured grids , 2000 .
[44] Pierre Sagaut,et al. A problem-independent limiter for high-order Runge—Kutta discontinuous Galerkin methods , 2001 .
[45] P. Woodward,et al. The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .
[46] S. Osher,et al. A new class of high accuracy TVD schemes for hyperbolic conservation laws. [Total Variation Diminishing] , 1985 .
[47] A. Patera. A spectral element method for fluid dynamics: Laminar flow in a channel expansion , 1984 .
[48] Meng-Sing Liou,et al. Mass Flux Schemes and Connection to Shock Instability , 2000 .
[49] John H. Kolias,et al. A CONSERVATIVE STAGGERED-GRID CHEBYSHEV MULTIDOMAIN METHOD FOR COMPRESSIBLE FLOWS , 1995 .