Efficient Solution Techniques for Discontinuous Galerkin Discretizations of the Navier-Stokes Equations on Hybrid Anisotropic Meshes
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Dimitri J. Mavriplis | Cristian R. Nastase | Nicholas K. Burgess | D. Mavriplis | N. Burgess | C. Nastase
[1] Edward N. Tinoco,et al. Summary of the Fourth AIAA CFD Drag Prediction Workshop , 2010 .
[2] Dimitri J. Mavriplis,et al. High-Order Discontinuous Galerkin Methods using a Spectral Multigrid Approach , 2005 .
[3] George Em Karniadakis,et al. Galerkin and discontinuous Galerkin spectral/hp methods , 1999 .
[4] Antony Jameson,et al. An accurate LED-BGK solver on unstructured adaptive meshes (Local Extremum Diminishing interpolation) , 1997 .
[5] D. A. Dunavant. Economical symmetrical quadrature rules for complete polynomials over a square domain , 1985 .
[6] David L. Darmofal,et al. Shock Capturing with Higher-Order, PDE-Based Artificial Viscosity , 2007 .
[7] Dimitri J. Mavriplis,et al. Multigrid algorithms for high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations , 2009, J. Comput. Phys..
[8] Chi-Wang Shu,et al. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .
[9] D. A. Dunavant. High degree efficient symmetrical Gaussian quadrature rules for the triangle , 1985 .
[10] D. C. Wilcox,et al. Computation of turbulent boundary layers on curved surfaces, 1 June 1975 - 31 January 1976 , 1976 .
[11] R. Hartmann,et al. Symmetric Interior Penalty DG Methods for the CompressibleNavier-Stokes Equations I: Method Formulation , 2005 .
[12] Michael A. Leschziner,et al. Average-State Jacobians and Implicit Methods for Compressible Viscous and Turbulent Flows , 1997 .
[13] David L. Darmofal,et al. p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations , 2005 .
[14] Per-Olof Persson,et al. Curved mesh generation and mesh refinement using Lagrangian solid mechanics , 2008 .
[15] Jan Sokolowski,et al. Compressible Navier-Stokes equations , 2012 .
[16] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[17] Dimitri J. Mavriplis,et al. Revisiting the Least-squares Procedure for Gradient Reconstruction on Unstructured Meshes , 2003 .
[18] Todd A. Oliver. A High-Order, Adaptive, Discontinuous Galerkin Finite Element Method for the Reynolds-Averaged Navier-Stokes Equations , 2008 .
[19] Dimitri J. Mavriplis,et al. A Parallel hp-Multigrid Solver for Three-Dimensional Discontinuous Galerkin Discretizations of the Euler Equations , 2007 .
[20] Philipp Birken,et al. Numerical Linear Algebra , 2011, Encyclopedia of Parallel Computing.
[21] David L. Darmofal,et al. Impact of Turbulence Model Irregularity on High-Order Discretizations , 2009 .
[22] Chi-Wang Shu,et al. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .
[23] Chi-Wang Shu,et al. Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems , 2001, J. Sci. Comput..
[24] Dimitri J. Mavriplis,et al. Implicit Solution of the Unsteady Euler Equations for High-Order Accurate Discontinuous Galerkin Discretizations , 2006 .
[25] D. Griffin,et al. Finite-Element Analysis , 1975 .
[26] Dimitri J. Mavriplis,et al. Directional agglomeration multigrid techniques for high Reynolds number viscous flow solvers , 1998 .
[27] P. Lax,et al. On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws , 1983 .
[28] J. W. Thomas. Numerical Partial Differential Equations: Finite Difference Methods , 1995 .
[29] D. Mavriplis. An assessment of linear versus non-linear multigrid methods for unstructured mesh solvers , 2001 .
[30] P. Spalart. A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .
[31] Dimitri J. Mavriplis,et al. MULTIGRID TECHNIQUES FOR UNSTRUCTURED MESHES , 1995 .
[32] Derek M. Causon,et al. On the Choice of Wavespeeds for the HLLC Riemann Solver , 1997, SIAM J. Sci. Comput..
[33] Anne Greenbaum,et al. Iterative methods for solving linear systems , 1997, Frontiers in applied mathematics.
[34] Edward N. Tinoco,et al. Summary of Data from the Second AIAA CFD Drag Prediction Workshop (Invited) , 2004 .
[35] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[36] S. Rebay,et al. High-Order Accurate Discontinuous Finite Element Solution of the 2D Euler Equations , 1997 .
[37] A. U.S.,et al. Curved Mesh Generation and Mesh Refinement using Lagrangian Solid Mechanics , 2009 .
[38] Dimitri J. Mavriplis,et al. High-order discontinuous Galerkin methods using an hp-multigrid approach , 2006, J. Comput. Phys..
[39] J. Peraire,et al. Sub-Cell Shock Capturing for Discontinuous Galerkin Methods , 2006 .
[40] S. F. Davis. Simplified second-order Godunov-type methods , 1988 .
[41] David L. Darmofal,et al. DEVELOPMENT OF A HIGHER-ORDER SOLVER FOR AERODYNAMIC APPLICATIONS , 2004 .