Multi-dimensional Limiting Strategy for Higher-order CFD Methods - Progress and Issue (Invited)
暂无分享,去创建一个
[1] J. Remacle,et al. Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws , 2004 .
[2] George Karypis,et al. Multilevel k-way Partitioning Scheme for Irregular Graphs , 1998, J. Parallel Distributed Comput..
[3] Florian R. Menter,et al. Correlation-Based Transition Modeling for Unstructured Parallelized Computational Fluid Dynamics Codes , 2009 .
[4] Chi-Wang Shu,et al. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .
[5] J. Peraire,et al. Sub-Cell Shock Capturing for Discontinuous Galerkin Methods , 2006 .
[6] Neil D. Sandham,et al. Low-Dissipative High-Order Shock-Capturing Methods Using Characteristic-Based Filters , 1999 .
[7] Chongam Kim,et al. Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows Part I Spatial discretization , 2005 .
[8] Chongam Kim,et al. Multi-dimensional limiting process for finite volume methods on unstructured grids , 2012 .
[9] Zhi J. Wang,et al. A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids , 2009 .
[10] Chongam Kim,et al. Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows , 2014 .
[11] Jun Zhu,et al. Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method, III: Unstructured Meshes , 2009, J. Sci. Comput..
[12] H. T. Huynh,et al. A Flux Reconstruction Approach to High-Order Schemes Including Discontinuous Galerkin Methods , 2007 .
[13] Zhiliang Xu,et al. Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws , 2011, J. Comput. Phys..
[14] Michael Dumbser,et al. Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters , 2005, SIAM J. Sci. Comput..
[15] P. Keast. Moderate-degree tetrahedral quadrature formulas , 1986 .
[16] Pierre Sagaut,et al. A problem-independent limiter for high-order Runge—Kutta discontinuous Galerkin methods , 2001 .
[17] Michael Dumbser,et al. A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws , 2014, J. Comput. Phys..
[18] Oh-Hyun Rho,et al. Methods for the accurate computations of hypersonic flows: I. AUSMPW + scheme , 2001 .
[19] Chongam Kim,et al. Cures for the shock instability: development of a shock-stable Roe scheme , 2003 .
[20] 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..
[21] P. Spalart. Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach , 1997 .
[22] Andrew W. Cook,et al. Short Note: Hyperviscosity for shock-turbulence interactions , 2005 .
[23] Chongam Kim,et al. Multi-dimensional limiting process for three-dimensional flow physics analyses , 2008, J. Comput. Phys..
[24] G. Karniadakis,et al. Spectral/hp Element Methods for CFD , 1999 .
[25] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[26] Rémi Abgrall,et al. High‐order CFD methods: current status and perspective , 2013 .
[27] J. Flaherty,et al. Parallel, adaptive finite element methods for conservation laws , 1994 .
[28] Christophe Geuzaine,et al. Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .
[29] Zhiliang Xu,et al. Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells , 2009, J. Comput. Phys..
[30] H. T. Huynh,et al. A Reconstruction Approach to High -Order Schemes Including Discontinuous Galerkin for Diffusion , 2009 .
[31] Zhi Jian Wang,et al. A conservative correction procedure via reconstruction formulation with the Chain-Rule divergence evaluation , 2013, J. Comput. Phys..
[32] M. V. Dyke,et al. An Album of Fluid Motion , 1982 .
[33] Rainald Löhner,et al. A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids , 2008, J. Comput. Phys..
[34] Antony Jameson,et al. Facilitating the Adoption of Unstructured High-Order Methods Amongst a Wider Community of Fluid Dynamicists , 2011 .
[35] P. Woodward,et al. The numerical simulation of two-dimensional fluid flow with strong shocks , 1984 .
[36] Antony Jameson,et al. A New Class of High-Order Energy Stable Flux Reconstruction Schemes for Triangular Elements , 2012, J. Sci. Comput..
[37] Lilia Krivodonova,et al. Limiters for high-order discontinuous Galerkin methods , 2007, J. Comput. Phys..
[38] Steven J. Ruuth,et al. A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods , 2002, SIAM J. Numer. Anal..
[39] H. T. Huynh,et al. Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations , 2013 .
[40] Se-Myong Chang,et al. On the shock–vortex interaction in Schardin's problem , 2000 .
[41] Antony Jameson,et al. A New Class of High-Order Energy Stable Flux Reconstruction Schemes , 2011, J. Sci. Comput..
[42] Marco Luciano Savini,et al. Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations , 2005 .
[43] Z. Wang. High-order methods for the Euler and Navier–Stokes equations on unstructured grids , 2007 .
[44] Chongam Kim,et al. Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids , 2005, J. Comput. Phys..
[45] Dimitris Drikakis,et al. Mach number effects on shock-bubble interaction , 2001 .
[46] Per-Olof Persson,et al. RANS Solutions Using High Order Discontinuous Galerkin Methods , 2007 .