A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann-BGK equation
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[1] S. Jaiswal. An entropy stable scheme for the non-linear Boltzmann equation , 2022, J. Comput. Phys..
[2] F. Witherden,et al. Positivity-Preserving Entropy-Based Adaptive Filtering for Discontinuous Spectral Element Methods , 2022, J. Comput. Phys..
[3] Tianbai Xiao. A flux reconstruction kinetic scheme for the Boltzmann equation , 2021, J. Comput. Phys..
[4] A. Jameson,et al. Accuracy, stability, and performance comparison between the spectral difference and flux reconstruction schemes , 2020, Computers & Fluids.
[5] Kun Xu,et al. High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows , 2020, J. Comput. Phys..
[6] Yonghao Zhang,et al. The kinetic Shakhov–Enskog model for non-equilibrium flow of dense gases , 2019, Journal of Fluid Mechanics.
[7] Will Trojak,et al. A new family of weighted one-parameter flux reconstruction schemes , 2018, 1809.07846.
[8] C. Baranger,et al. A BGK model for high temperature rarefied gas flows , 2018, European Journal of Mechanics - B/Fluids.
[9] Michael Dumbser,et al. A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws , 2014, J. Comput. Phys..
[10] A. Iollo,et al. A Local Velocity Grid Approach for BGK Equation , 2014 .
[11] Freddie D. Witherden,et al. PyFR: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach , 2013, Comput. Phys. Commun..
[12] Jean-Luc Guermond,et al. Entropy viscosity method for nonlinear conservation laws , 2011, J. Comput. Phys..
[13] Xiangxiong Zhang,et al. On maximum-principle-satisfying high order schemes for scalar conservation laws , 2010, J. Comput. Phys..
[14] V. Springel. E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh , 2009, 0901.4107.
[15] Robert B. Greendyke,et al. Using the Unied Flow Solver to Investigate the Normal Shock Wave Structure , 2009 .
[16] H. T. Huynh,et al. A Flux Reconstruction Approach to High-Order Schemes Including Discontinuous Galerkin Methods , 2007 .
[17] M. M. R. Williams,et al. A review of the rarefied gas dynamics theory associated with some classical problems in flow and heat transfer , 2001 .
[18] Luc Mieussens,et al. DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS , 2000 .
[19] L. Mieussens. Discrete-Velocity Models and Numerical Schemes for the Boltzmann-BGK Equation in Plane and Axisymmetric Geometries , 2000 .
[20] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[21] S. Rebay,et al. A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier-Stokes Equations , 1997 .
[22] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[23] E. Toro,et al. Restoration of the contact surface in the HLL-Riemann solver , 1994 .
[24] G. Bird. Molecular Gas Dynamics and the Direct Simulation of Gas Flows , 1994 .
[25] P. Woodward,et al. The numerical simulation of two-dimensional fluid flow with strong shocks , 1984 .
[26] G. Sod. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws , 1978 .
[27] H. Alsmeyer,et al. Density profiles in argon and nitrogen shock waves measured by the absorption of an electron beam , 1976, Journal of Fluid Mechanics.
[28] M. Camac. Argon Shock Thickness , 1964 .
[29] M. Linzer,et al. Structure of Shock Fronts in Argon and Nitrogen , 1963 .
[30] P. Bhatnagar,et al. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .
[31] Xiangxiong Zhang,et al. Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes , 2011, Journal of Scientific Computing.
[32] K. Morgan,et al. A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows , 2011 .
[33] Chi-Wang Shu,et al. Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems , 2001, J. Sci. Comput..
[34] Francesco Bassi,et al. A High Order Discontinuous Galerkin Method for Compressible Turbulent Flows , 2000 .
[35] C. Cercignani. The Boltzmann equation and its applications , 1988 .
[36] E. M. Shakhov. Generalization of the Krook kinetic relaxation equation , 1968 .
[37] V. Rusanov,et al. The calculation of the interaction of non-stationary shock waves and obstacles , 1962 .