A Moving Discontinuous Galerkin Method with Interface Conservation Enforcement for Reacting Hypersonic Flows

[1]  Robert Nourgaliev,et al.  A Moving Discontinuous Galerkin Finite Element Method with Interface Conservation Enforcement for Compressible Flows , 2021, J. Comput. Phys..

[2]  Hong Luo,et al.  A Moving Discontinuous Galerkin Finite Element Method for Conservation Laws , 2020 .

[3]  D. Kessler,et al.  The Moving Discontinuous Galerkin Method with Interface Condition Enforcement for Viscous Flows , 2020 .

[4]  Chi-Wang Shu,et al.  Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements , 2019, J. Comput. Phys..

[5]  David A. Kessler,et al.  Convergence of the Moving Discontinuous Galerkin Method with Interface Condition Enforcement in the Presence of an Attached Curved Shock , 2019, AIAA Aviation 2019 Forum.

[6]  Andrew T. Corrigan,et al.  The Moving Discontinuous Galerkin Method with Interface Condition Enforcement for Unsteady Three-Dimensional Flows , 2019, AIAA Scitech 2019 Forum.

[7]  Andrew Corrigan,et al.  A moving discontinuous Galerkin finite element method for flows with interfaces , 2018, International Journal for Numerical Methods in Fluids.

[8]  Renato Paciorri,et al.  Unsteady shock‐fitting for unstructured grids , 2016 .

[9]  Bernardo Cockburn,et al.  A class of embedded discontinuous Galerkin methods for computational fluid dynamics , 2015, J. Comput. Phys..

[10]  Christoph Lehrenfeld,et al.  The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions , 2014, SIAM J. Sci. Comput..

[11]  Hong Luo,et al.  A Reconstructed Discontinuous Galerkin Method Based on a Hierarchical Hermite WENO Reconstruction for Compressible Flows on Tetrahedral Grids , 2012 .

[12]  Hong Luo,et al.  A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids , 2012 .

[13]  Hong Luo,et al.  A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids , 2012, J. Comput. Phys..

[14]  Vincent Mousseau,et al.  A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids , 2010, J. Comput. Phys..

[15]  Hong Luo,et al.  A Parallel Reconstructed Discontinuous Galerkin Method for the Compressible Flows on Aritrary Grids , 2010 .

[16]  Michael Dumbser,et al.  Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations , 2009, J. Comput. Phys..

[17]  Raytcho D. Lazarov,et al.  Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems , 2009, SIAM J. Numer. Anal..

[18]  Rainald Löhner,et al.  A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids , 2008, J. Comput. Phys..

[19]  Michael Dumbser,et al.  A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes , 2008, J. Comput. Phys..

[20]  Rainald Löhner,et al.  Fast p-Multigrid Discontinuous Galerkin Method for Compressible Flows at All Speeds , 2008 .

[21]  Rainald Löhner,et al.  On the computation of steady‐state compressible flows using a discontinuous Galerkin method , 2008 .

[22]  Rainald Löhner,et al.  A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids , 2007, J. Comput. Phys..

[23]  J. V. D. Vegt,et al.  Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations , 2006, J. Comput. Phys..

[24]  Jinyan Fan,et al.  Convergence Properties of a Self-adaptive Levenberg-Marquardt Algorithm Under Local Error Bound Condition , 2006, Comput. Optim. Appl..

[25]  Rainald Löhner,et al.  A p-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids , 2006 .

[26]  Li Wang,et al.  Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations , 2006, J. Comput. Phys..

[27]  David L. Darmofal,et al.  p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations , 2005 .

[28]  J. V. D. Vegt,et al.  Space--time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows: I. general formulation , 2002 .

[29]  W. M. Keck,et al.  Adaptive grid generation by minimizing residuals , 2002 .

[30]  Hester Bijl,et al.  Implicit Time Integration Schemes for the Unsteady Compressible Navier–Stokes Equations: Laminar Flow , 2002 .

[31]  M. Y. Hussaini,et al.  An efficient implicit discontinuous spectral Galerkin method , 2001 .

[32]  George Em Karniadakis,et al.  A Discontinuous Galerkin Method for the Viscous MHD Equations , 1999 .

[33]  Chi-Wang Shu,et al.  The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .

[34]  S. Rebay,et al.  High-Order Accurate Discontinuous Finite Element Solution of the 2D Euler Equations , 1997 .

[35]  S. Rebay,et al.  A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier-Stokes Equations , 1997 .

[36]  Harold L. Atkins,et al.  QUADRATURE-FREE IMPLEMENTATION OF DISCONTINUOUS GALERKIN METHOD FOR HYPERBOLIC EQUATIONS , 1996 .

[37]  Michael Dumbser,et al.  Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier–Stokes equations , 2010 .