A High-Order Flux Reconstruction/Correction Procedure via Reconstruction Method for Shock Capturing with Space-Time Extension Time Stepping and Adaptive Mesh Refinement
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[1] Chunlei Liang,et al. A comparison of computational efficiencies of spectral difference method and correction procedure via reconstruction , 2013, J. Comput. Phys..
[2] R. D. Richtmyer,et al. A Method for the Numerical Calculation of Hydrodynamic Shocks , 1950 .
[3] Andrew W. Cook,et al. Short Note: Hyperviscosity for shock-turbulence interactions , 2005 .
[4] J. S. Cagnone,et al. A stable interface element scheme for the p-adaptive lifting collocation penalty formulation , 2012, J. Comput. Phys..
[5] Yi Lu,et al. Flow simulation system based on high order space-time extension of flux reconstruction method , 2015 .
[6] Soshi Kawai,et al. Toward Accurate Simulation of Shockwave-Turbulence Interaction on Unstructured Meshes: A Coupling of High- Order FR and LAD Schemes , 2013 .
[7] Zhi J. Wang,et al. Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems , 2004 .
[8] C. Munz,et al. A space–time adaptive discontinuous Galerkin scheme , 2015 .
[9] 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..
[10] Bin Zhang,et al. An efficient correction procedure via reconstruction for simulation of viscous flow on moving and deforming domains , 2014, J. Comput. Phys..
[11] Steven J. Ruuth,et al. A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods , 2002, SIAM J. Numer. Anal..
[12] Junfeng Wang,et al. A compressible high-order unstructured spectral difference code for stratified convection in rotating spherical shells , 2015, J. Comput. Phys..
[13] Catherine Mavriplis,et al. Nonconforming discretizations and a posteriori error estimators for adaptive spectral element techniques , 1989 .
[14] Marcel Vinokur,et al. Spectral difference method for unstructured grids I: Basic formulation , 2006, J. Comput. Phys..
[15] Chunlei Liang,et al. Computation of flows with shocks using the Spectral Difference method with artificial viscosity, II: Modified formulation with local mesh refinement , 2014 .
[16] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .
[17] Li Wang,et al. Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations , 2006, J. Comput. Phys..
[18] W. N. Dawes,et al. High Order Large Eddy Simulations for a Transonic Turbine Blade Using Hybrid Unstructured Meshes , 2015 .
[19] David A. Kopriva,et al. A Staggered-Grid Multidomain Spectral Method for the Compressible Navier-Stokes Equations , 1998 .
[20] Michael Dumbser,et al. A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement , 2013, Comput. Phys. Commun..
[21] Michael Dumbser,et al. Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors , 2011, J. Comput. Phys..
[22] W. Cabot,et al. A high-wavenumber viscosity for high-resolution numerical methods , 2004 .
[23] Mengping Zhang,et al. A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes , 2015 .
[24] Michael Dumbser,et al. ADER-WENO finite volume schemes with space-time adaptive mesh refinement , 2012, J. Comput. Phys..
[25] Chunlei Liang,et al. Computation of flows with shocks using the Spectral Difference method with artificial viscosity, I: Basic formulation and application , 2014 .
[26] Soshi Kawai,et al. Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes , 2008, J. Comput. Phys..
[27] R. Hartmann,et al. Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations , 2002 .
[28] Lei Shi,et al. Adjoint-based error estimation and mesh adaptation for the correction procedure via reconstruction method , 2015, J. Comput. Phys..
[29] 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..
[30] Marco Luciano Savini,et al. Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations , 2005 .
[31] Sanjiva K. Lele,et al. An artificial nonlinear diffusivity method for supersonic reacting flows with shocks , 2005, J. Comput. Phys..
[32] Y. Hattori,et al. Sound generation by shock–vortex interactions , 1999, Journal of Fluid Mechanics.
[33] Chunlei Liang,et al. A high-order flux reconstruction method with adaptive mesh refinement and artificial diffusivity on unstructured moving/deforming mesh for shock capturing , 2016 .
[34] James D. Lee,et al. A high order spectral difference method for fluid-structure interaction using an implicit-explicit RK coupling scheme , 2016 .
[35] Claus-Dieter Munz,et al. A Discontinuous Galerkin Scheme based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions , 2008, J. Sci. Comput..
[36] Sanjiva K. Lele,et al. A modified artificial viscosity approach for compressible turbulence simulations , 2008, J. Comput. Phys..
[37] D. Darmofal,et al. Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics , 2011 .