A third-order gas-kinetic CPR method for the Euler and Navier-Stokes equations on triangular meshes
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Chao Zhang | Song Fu | Qibing Li | Zhi Jian Wang | Chao Zhang | S. Fu | Z. Wang | Qibing Li
[1] Marco Luciano Savini,et al. Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations , 2005 .
[2] 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..
[3] Kun Xu,et al. A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier-Stokes solutions , 2016, J. Comput. Phys..
[4] Song Fu,et al. High-order accurate gas-kinetic scheme and turbulence simulation , 2014 .
[5] Song Fu,et al. A compressible Navier-Stokes flow solver with scalar transport , 2005 .
[6] Marcel Vinokur,et al. Spectral difference method for unstructured grids I: Basic formulation , 2006, J. Comput. Phys..
[7] A. Okajima. Strouhal numbers of rectangular cylinders , 1982, Journal of Fluid Mechanics.
[8] P. Bhatnagar,et al. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .
[9] Song Fu,et al. On the high-order multidimensional gas-kinetic scheme , 2012 .
[10] Jun Zhu,et al. Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes , 2013, J. Comput. Phys..
[11] Kun Xu,et al. A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method , 2001 .
[12] Chi-Wang Shu,et al. Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy , 2000 .
[13] Spencer J. Sherwin,et al. Flow past a square-section cylinder with a wavy stagnation face , 2001, Journal of Fluid Mechanics.
[14] Kun Xu,et al. Discontinuous Galerkin BGK Method for Viscous Flow Equations: One-Dimensional Systems , 2004, SIAM J. Sci. Comput..
[15] Song Fu,et al. A New High-Order Multidimensional Scheme , 2011 .
[16] Marcel Vinokur,et al. Discontinuous Spectral Difference Method for Conservation Laws on Unstructured Grids , 2004 .
[17] Chi-Wang Shu. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .
[18] Kun Xu,et al. A high-order multidimensional gas-kinetic scheme for hydrodynamic equations , 2013 .
[19] Song Fu,et al. On the multidimensional gas-kinetic BGK scheme , 2006, J. Comput. Phys..
[20] U. Ghia,et al. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .
[21] Chang Liu,et al. A unified gas-kinetic scheme for continuum and rarefied flows,direct modeling,and full Boltzmann collision term , 2014 .
[22] Rainald Löhner,et al. A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids , 2008, J. Comput. Phys..
[23] P. Woodward,et al. The numerical simulation of two-dimensional fluid flow with strong shocks , 1984 .
[24] Xiaodong Ren,et al. A multi-dimensional high-order discontinuous Galerkin method based on gas kinetic theory for viscous flow computations , 2015, J. Comput. Phys..
[25] Kun Xu,et al. A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow , 2005 .
[26] Zhi J. Wang,et al. Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation , 2002 .
[27] Mengping Zhang,et al. A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes , 2015 .
[28] Kun Xu,et al. Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-Kinetic Schemes , 2014 .
[29] Zhi Jian Wang,et al. On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods , 2014, J. Comput. Phys..
[30] 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..
[31] Vincent Mousseau,et al. A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids , 2010, J. Comput. Phys..
[32] Chi-Wang Shu,et al. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .
[33] Chongam Kim,et al. Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction , 2016, J. Comput. Phys..
[34] J. Remacle,et al. Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws , 2004 .
[35] Wanai Li,et al. The multi-dimensional limiters for discontinuous Galerkin method on unstructured grids , 2014 .
[36] Kun Xu,et al. A Compact Third-order Gas-kinetic Scheme for Compressible Euler and Navier-Stokes Equations , 2014, 1412.4489.
[37] Christian Tenaud,et al. High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations , 2004 .
[38] Song Fu,et al. A High-Order Accurate Gas-Kinetic BGK Scheme , 2009 .
[39] Song Fu,et al. A high-order gas-kinetic Navier-Stokes flow solver , 2010, J. Comput. Phys..