High-order central ENO finite-volume scheme for ideal MHD
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Hans De Sterck | Clinton P. T. Groth | A. Susanto | Lucian Ivan | H. D. Sterck | C. Groth | L. Ivan | A. Susanto | H. Sterck
[1] P. Roe,et al. Divergence- and curl-preserving prolongation and restriction formulas , 2002 .
[2] Chang-Hsien Tai,et al. Design of optimally smoothing multistage schemes for the Euler equations , 1992 .
[3] S. Orszag,et al. Small-scale structure of two-dimensional magnetohydrodynamic turbulence , 1979, Journal of Fluid Mechanics.
[4] R. LeVeque. Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .
[5] Eitan Tadmor,et al. Non-oscillatory central schemes for one- and two-dimensional MHD equations. II: high-order semi-discrete schemes. , 2006 .
[6] T. Mexia,et al. Author ' s personal copy , 2009 .
[7] E. Tadmor,et al. Non-oscillatory central differencing for hyperbolic conservation laws , 1990 .
[8] Andrea Mignone,et al. High-order conservative finite difference GLM-MHD schemes for cell-centered MHD , 2010, J. Comput. Phys..
[9] Kenneth G. Powell,et al. AN APPROXIMATE RIEMANN SOLVER FOR MAGNETOHYDRODYNAMICS (That Works in More than One Dimension) , 1994 .
[10] C. Munz,et al. Hyperbolic divergence cleaning for the MHD equations , 2002 .
[11] V. Venkatakrishnan. On the accuracy of limiters and convergence to steady state solutions , 1993 .
[12] C. Hirsch,et al. Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.
[13] Sergey Yakovlev,et al. Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field , 2011, J. Comput. Phys..
[14] K. Germaschewski,et al. Three-dimensional MHD high-resolution computations with CWENO employing adaptive mesh refinement , 2004 .
[15] Scott Northrup,et al. Parallel Implicit Adaptive Mesh Refinement Scheme for Body-Fitted Multi-Block Mesh , 2005 .
[16] Clinton P. T. Groth,et al. High-Order Central ENO Finite-Volume Scheme with Adaptive Mesh Refinement , 2007 .
[17] Guang-Shan Jiang,et al. A High-Order WENO Finite Difference Scheme for the Equations of Ideal Magnetohydrodynamics , 1999 .
[18] Dinshaw Balsara,et al. Second-Order-accurate Schemes for Magnetohydrodynamics with Divergence-free Reconstruction , 2003, astro-ph/0308249.
[19] H. De Sterck,et al. Stationary two-dimensional magnetohydrodynamic flows with shocks: characteristic analysis and grid convergence study , 2001 .
[20] Timothy J. Barth,et al. Recent developments in high order K-exact reconstruction on unstructured meshes , 1993 .
[21] J. Hawley,et al. Simulation of magnetohydrodynamic flows: A Constrained transport method , 1988 .
[22] C. Ollivier-Gooch,et al. A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation , 2002 .
[23] Carl Ollivier-Gooch,et al. Accuracy preserving limiter for the high-order accurate solution of the Euler equations , 2009, J. Comput. Phys..
[24] Andrea Mignone,et al. A second-order unsplit Godunov scheme for cell-centered MHD: The CTU-GLM scheme , 2009, J. Comput. Phys..
[25] Clinton P. T. Groth,et al. Parallel Adaptive Mesh Refinement Scheme for Turbulent Non-Premixed Combusting Flow Prediction , 2006 .
[26] George Em Karniadakis,et al. A Discontinuous Galerkin Method for the Viscous MHD Equations , 1999 .
[27] Clinton P. T. Groth,et al. A Mesh Adjustment Scheme for Embedded Boundaries , 2006 .
[28] Lucian Ivan,et al. Development of High-order CENO Finite-volume Schemes with Block-based Adaptive Mesh Refinement (AMR) , 2011 .
[29] A. Chorin. A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .
[30] Dinshaw Balsara,et al. Divergence-free adaptive mesh refinement for Magnetohydrodynamics , 2001 .
[31] Scott Northrup,et al. Parallel solution-adaptive method for two dimensional non-premixed combusting flows , 2011 .
[32] M. Brio,et al. An upwind differencing scheme for the equations of ideal magnetohydrodynamics , 1988 .
[33] Hans d,et al. Multi-dimensional upwind constrained transport on unstructured grids for 'shallow water' magnetohydrodynamics , 2001 .
[34] G. Tóth. The ∇·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes , 2000 .
[35] Andrea Lani,et al. A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach , 2011, J. Comput. Phys..
[36] W. Gropp,et al. Using MPI-2nd Edition , 1999 .
[37] Clinton P. T. Groth,et al. International Journal of Computational Fluid Dynamics a Parallel Adaptive Mesh Refinement Algorithm for Predicting Turbulent Non-premixed Combusting Flows a Parallel Adaptive Mesh Refinement Algorithm for Predicting Turbulent Non-premixed Combusting Flows , 2022 .
[38] A. Harten,et al. Multi-Dimensional ENO Schemes for General Geometries , 1991 .
[39] Clinton P. T. Groth,et al. High-Order Solution-Adaptive Central Essentially Non-Oscillatory (CENO) Method for Viscous Flows , 2011 .
[40] C. Angelopoulos. High resolution schemes for hyperbolic conservation laws , 1992 .
[41] Dimitri J. Mavriplis,et al. Revisiting the Least-squares Procedure for Gradient Reconstruction on Unstructured Meshes , 2003 .
[42] Jean-Marc Hérard,et al. A LOCAL TIME-STEPPING DISCONTINUOUS GALERKIN ALGORITHM FOR THE MHD SYSTEM , 2009 .
[43] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[44] Harish Kumar,et al. On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics , 2010, J. Comput. Phys..
[45] Clinton P. T. Groth,et al. Parallel High-Order Anisotropic Block-Based Adaptive Mesh Refinement Finite-Volume Scheme , 2011 .
[46] Chi-Wang Shu,et al. Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations , 2005, J. Sci. Comput..
[47] Dinshaw S. Balsara. Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics , 2009, J. Comput. Phys..
[48] J. Sachdev,et al. A parallel solution-adaptive scheme for multi-phase core flows in solid propellant rocket motors , 2005 .
[49] Claus-Dieter Munz,et al. Divergence Correction Techniques for Maxwell Solvers Based on a Hyperbolic Model , 2000 .
[50] Michael Dumbser,et al. Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics , 2008, Journal of Computational Physics.
[51] J. Brackbill,et al. The Effect of Nonzero ∇ · B on the numerical solution of the magnetohydrodynamic equations☆ , 1980 .
[52] P. Roe,et al. A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics , 1999 .
[53] James A. Rossmanith,et al. An Unstaggered, High-Resolution Constrained Transport Method for Magnetohydrodynamic Flows , 2006, SIAM J. Sci. Comput..
[54] Eitan Tadmor,et al. Nonoscillatory Central Schemes for One- and Two-Dimensional Magnetohydrodynamics Equations. II: High-Order SemiDiscrete Schemes , 2006, SIAM J. Sci. Comput..
[55] Robert B. Ross,et al. Using MPI-2: Advanced Features of the Message Passing Interface , 2003, CLUSTER.
[56] Clinton P. T. Groth,et al. A parallel solution - adaptive method for three-dimensional turbulent non-premixed combusting flows , 2010, J. Comput. Phys..