Adaptive Mesh Refinement for Hyperbolic Systems Based on Third-Order Compact WENO Reconstruction
暂无分享,去创建一个
M. Semplice | A. Coco | G. Russo | G. Russo | A. Coco | M. Semplice
[1] Andreas Dedner,et al. An efficient implementation of an adaptive and parallel grid in DUNE , 2006 .
[2] Robert Davies-Jones. Comments on “A Kinematic Analysis of Frontogenesis Associated with a Nondivergent Vortex" , 1985 .
[3] Gabriella Puppo,et al. Numerical Entropy Production for Central Schemes , 2003, SIAM J. Sci. Comput..
[4] Alexander Kurganov,et al. Local error analysis for approximate solutions of hyperbolic conservation laws , 2005, Adv. Comput. Math..
[5] Jiˇí Fürst. A weighted least square scheme for compressible flows , 2006 .
[6] F. ARÀNDIGA,et al. Analysis of WENO Schemes for Full and Global Accuracy , 2011, SIAM J. Numer. Anal..
[7] Mario Ohlberger,et al. A review of a posteriori error control and adaptivity for approximations of non‐linear conservation laws , 2009 .
[8] Oliver Kolb,et al. On the Full and Global Accuracy of a Compact Third Order WENO Scheme , 2014, SIAM J. Numer. Anal..
[9] Argiris I. Delis,et al. Behavior of Finite Volume Schemes for Hyperbolic Conservation Laws on Adaptive Redistributed Spatial Grids , 2006, SIAM J. Sci. Comput..
[10] J. M. Powers,et al. Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points , 2005 .
[11] Rong Wang,et al. A New Mapped Weighted Essentially Non-oscillatory Scheme , 2012, J. Sci. Comput..
[12] Manuel Torrilhon,et al. Compact third-order limiter functions for finite volume methods , 2009, J. Comput. Phys..
[13] Wanai Li,et al. High‐order k‐exact WENO finite volume schemes for solving gas dynamic Euler equations on unstructured grids , 2012 .
[14] Andreas Dedner,et al. A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework , 2008, Computing.
[15] Emil M. Constantinescu,et al. Multirate Explicit Adams Methods for Time Integration of Conservation Laws , 2009, J. Sci. Comput..
[16] Matteo Semplice,et al. On the Accuracy of WENO and CWENO Reconstructions of Third Order on Nonuniform Meshes , 2015, Journal of Scientific Computing.
[17] Chi-Wang Shu. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .
[18] Andreas Dedner,et al. A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE , 2008, Computing.
[19] Claus-Dieter Munz,et al. A Discontinuous Galerkin Scheme Based on a Space–Time Expansion. I. Inviscid Compressible Flow in One Space Dimension , 2007, J. Sci. Comput..
[20] Gabriella Puppo,et al. Compact Central WENO Schemes for Multidimensional Conservation Laws , 1999, SIAM J. Sci. Comput..
[21] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[22] David I. Ketcheson,et al. Strong stability preserving runge-kutta and multistep time discretizations , 2011 .
[23] Geo.,et al. Compact third-order limiter functions for finite volume methods , 2009, J. Comput. Phys..
[24] Emil M. Constantinescu,et al. Multirate Timestepping Methods for Hyperbolic Conservation Laws , 2007, J. Sci. Comput..
[25] Gabriella Puppo,et al. Well-Balanced High Order 1D Schemes on Non-uniform Grids and Entropy Residuals , 2014, J. Sci. Comput..
[26] Rémi Abgrall,et al. On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation , 1994 .
[27] Michael Dumbser,et al. Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems , 2007, J. Comput. Phys..
[28] Randall J. LeVeque,et al. High-Order Wave Propagation Algorithms for Hyperbolic Systems , 2011, SIAM J. Sci. Comput..
[29] R. LeVeque,et al. Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems , 1998 .
[30] Robert C. Kirby,et al. On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws , 2003, Math. Comput..
[31] Chaowei Hu,et al. No . 98-32 Weighted Essentially Non-Oscillatory Schemes on Triangular Meshes , 1998 .
[32] Gabriella Puppo,et al. Numerical entropy and adaptivity for finite volume schemes , 2011 .
[33] Eckart Meiburg,et al. A numerical study of the convergence properties of ENO schemes , 1990 .
[34] S. Osher,et al. Numerical approximations to nonlinear conservation laws with locally varying time and space grids , 1983 .
[35] Chi-Wang Shu,et al. A technique of treating negative weights in WENO schemes , 2000 .