A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes
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Jun Zhu | Jianxian Qiu | J. Qiu | Jun Zhu
[1] Jay Casper,et al. Finite-volume implementation of high-order essentially nonoscillatory schemes in two dimensions , 1992 .
[2] Zhao Ning. A kind of MWENO scheme and its applications , 2005 .
[3] Ami Harten,et al. Preliminary results on the extension of eno schemes to two-dimensional problems , 1987 .
[4] S. Osher,et al. Uniformly high order accuracy essentially non-oscillatory schemes III , 1987 .
[5] Yong-Tao Zhang,et al. Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes , 2008 .
[6] Wai-Sun Don,et al. High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws , 2011, J. Comput. Phys..
[7] Wai-Sun Don,et al. Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes , 2013, J. Comput. Phys..
[8] G. Russo,et al. Central WENO schemes for hyperbolic systems of conservation laws , 1999 .
[9] Chaowei Hu,et al. No . 98-32 Weighted Essentially Non-Oscillatory Schemes on Triangular Meshes , 1998 .
[10] Chi-Wang Shu,et al. Efficient Implementation of Weighted ENO Schemes , 1995 .
[11] Michael Dumbser,et al. A direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D , 2014, J. Comput. Phys..
[12] Chi-Wang Shu,et al. A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods , 2013, J. Comput. Phys..
[13] Jun Zhu,et al. A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws , 2016, J. Comput. Phys..
[14] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[15] V. Guinot. Approximate Riemann Solvers , 2010 .
[16] Michael Dumbser,et al. ADER-WENO finite volume schemes with space-time adaptive mesh refinement , 2012, J. Comput. Phys..
[17] Jun Zhu,et al. New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes , 2018, SIAM J. Sci. Comput..
[18] Jianxian Qiu,et al. RKDG with WENO Type Limiters , 2010 .
[19] A. Harten,et al. Multi-Dimensional ENO Schemes for General Geometries , 1991 .
[20] Oliver Kolb,et al. On the Full and Global Accuracy of a Compact Third Order WENO Scheme , 2014, SIAM J. Numer. Anal..
[21] James P. Collins,et al. Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics , 1993, SIAM J. Sci. Comput..
[22] Bernhard Eisfeld,et al. ONERA M6 wing , 2006 .
[23] Dimitris Drikakis,et al. WENO schemes for mixed-elementunstructured meshes , 2010 .
[24] Matteo Semplice,et al. On the Accuracy of WENO and CWENO Reconstructions of Third Order on Nonuniform Meshes , 2015, Journal of Scientific Computing.
[25] Jun Zhu,et al. A New Type of Finite Volume WENO Schemes for Hyperbolic Conservation Laws , 2017, J. Sci. Comput..
[26] M. Semplice,et al. Adaptive Mesh Refinement for Hyperbolic Systems Based on Third-Order Compact WENO Reconstruction , 2014, Journal of Scientific Computing.
[27] Chi-Wang Shu. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .
[28] Wang Chi-Shu,et al. Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws , 1997 .
[29] 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 .
[30] Jianxian Qiu,et al. On the construction, comparison, and local characteristic decomposition for high-Order central WENO schemes , 2002 .
[31] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[32] S. Osher,et al. Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .
[33] Rémi Abgrall,et al. On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation , 1994 .
[34] Michael Dumbser,et al. A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement , 2013, Comput. Phys. Commun..
[35] Michael Dumbser,et al. Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems , 2007, J. Comput. Phys..
[36] C. D. Chambers. On the Construction of οὐ μή , 1897, The Classical Review.
[37] Michael Dumbser,et al. Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems , 2007, J. Comput. Phys..
[38] S. Osher,et al. Weighted essentially non-oscillatory schemes , 1994 .
[39] M. Dumbser,et al. High order space–time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems , 2013, 1304.5408.
[40] Jun Zhu,et al. Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes , 2013, J. Comput. Phys..
[41] O. Friedrich,et al. Weighted Essentially Non-Oscillatory Schemes for the Interpolation of Mean Values on Unstructured Grids , 1998 .
[42] Norbert Kroll. ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications : Results of a collaborative research project funded by the European Union, 2006-2009 , 2010 .
[43] Harold L. Atkins,et al. A Finite-Volume High-Order ENO Scheme for Two-Dimensional Hyperbolic Systems , 1993 .
[44] Yuan Liu,et al. A Robust Reconstruction for Unstructured WENO Schemes , 2013, J. Sci. Comput..
[45] Guy Capdeville,et al. A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes , 2008, J. Comput. Phys..
[46] Gabriella Puppo,et al. Compact Central WENO Schemes for Multidimensional Conservation Laws , 1999, SIAM J. Sci. Comput..
[47] Wai-Sun Don,et al. An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws , 2008, J. Comput. Phys..
[48] Chi-Wang Shu,et al. A technique of treating negative weights in WENO schemes , 2000 .
[49] Dinshaw S. Balsara,et al. An efficient class of WENO schemes with adaptive order , 2016, J. Comput. Phys..