Preconditioning a Newton-Krylov solver for all-speed melt pool flow physics
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Robert Nourgaliev | Andrew T. Barker | Jean-Pierre Delplanque | Brian Weston | J. Delplanque | R. Nourgaliev | A. Barker | B. Weston
[1] J. Delplanque,et al. High-order fully implicit solver for all-speed fluid dynamics , 2018, Shock Waves.
[2] E. Turkel,et al. Preconditioned methods for solving the incompressible low speed compressible equations , 1987 .
[3] A. Chorin. A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .
[4] Homer F. Walker,et al. Choosing the Forcing Terms in an Inexact Newton Method , 1996, SIAM J. Sci. Comput..
[5] Robert D. Falgout,et al. hypre: A Library of High Performance Preconditioners , 2002, International Conference on Computational Science.
[6] Hong Luo,et al. Fully-Implicit Orthogonal Reconstructed Discontinuous Petrov-Galerkin Method for Multiphysics Problems , 2015 .
[7] D. Keyes,et al. Jacobian-free Newton-Krylov methods: a survey of approaches and applications , 2004 .
[8] Zhanhua Ma,et al. Solid velocity correction schemes for a temperature transforming model for convection phase change , 2006 .
[9] John N. Shadid,et al. A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations , 2008, J. Comput. Phys..
[10] M. Benzi. Preconditioning techniques for large linear systems: a survey , 2002 .
[11] C. Munz,et al. The extension of incompressible flow solvers to the weakly compressible regime , 2003 .
[12] John N. Shadid,et al. A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD , 2013, SIAM J. Sci. Comput..
[13] D. Spalding,et al. A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .
[14] Sergei I. Anisimov,et al. Instabilities in Laser-Matter Interaction , 1995 .
[15] Hong Luo,et al. Fully-implicit orthogonal reconstructed Discontinuous Galerkin method for fluid dynamics with phase change , 2016, J. Comput. Phys..
[16] A. Rubenchik,et al. Laser powder-bed fusion additive manufacturing: Physics of complex melt flow and formation mechanisms of pores, spatter, and denudation zones , 2015, 1512.02593.
[17] D. Korzekwa,et al. Truchas – a multi-physics tool for casting simulation , 2009 .
[18] George Karypis,et al. METIS and ParMETIS , 2011, Encyclopedia of Parallel Computing.
[19] Ionut Danaila,et al. A Newton method with adaptive finite elements for solving phase-change problems with natural convection , 2014, J. Comput. Phys..
[20] J. J. Moré,et al. Estimation of sparse jacobian matrices and graph coloring problems , 1983 .
[21] R. Gilgenbach. S.I. Anisimov and V.A. Khokhlov, Instabilities in Laser-Matter Interaction , CRC Press, Boca Raton, FL (1995). 141 pages, $99.95 (U.S.)/120.00 (Foreign). ISBN 0–8493-8660–8. , 1996 .
[22] Jan Vierendeels,et al. Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1, Reference solutions , 2005 .
[23] Dana A. Knoll,et al. On Preconditioning Newton-Krylov Methods in Solidifying Flow Applications , 2001, SIAM J. Sci. Comput..
[24] Dana A. Knoll,et al. Physics-Based Preconditioners for Ocean Simulation , 2013, SIAM J. Sci. Comput..
[25] Hong Luo,et al. A Reconstructed Discontinuous Galerkin Method Based on a Hierarchical Hermite WENO Reconstruction for Compressible Flows on Tetrahedral Grids , 2012 .
[26] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[27] G. Batchelor,et al. An Introduction to Fluid Dynamics , 1968 .
[28] David E. Keyes,et al. Newton-Krylov Methods for Low-Mach-Number Compressible Combustion , 1996 .
[29] V. Voller,et al. A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems , 1987 .
[30] Christophe Eric Corre,et al. Numerical simulations of a transient injection flow at low Mach number regime , 2008 .
[31] R. Tuminaro,et al. A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations , 2003 .
[32] A. Ludwig,et al. Simulation of time-dependent pool shape during laser spot welding: Transient effects , 2003 .
[33] Luis Chacón,et al. Jacobian–Free Newton–Krylov Methods for the Accurate Time Integration of Stiff Wave Systems , 2005, J. Sci. Comput..
[34] Barry F. Smith,et al. Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations , 1996 .
[35] A. Stanier,et al. A scalable, fully implicit algorithm for the reduced two-field low-β extended MHD model , 2016, J. Comput. Phys..
[36] Katherine J. Evans,et al. Development of a 2-D algorithm to simulate convection and phase transition efficiently , 2006, J. Comput. Phys..
[37] C. L. Merkle,et al. The application of preconditioning in viscous flows , 1993 .
[38] V. E. Henson,et al. BoomerAMG: a parallel algebraic multigrid solver and preconditioner , 2002 .
[39] Lafayette K. Taylor,et al. High-resolution viscous flow simulations at arbitrary Mach number , 2003 .
[40] Philip L. Roe,et al. Characteristic time-stepping or local preconditioning of the Euler equations , 1991 .
[41] Paul Lin,et al. Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport , 2006 .
[42] F. White. Viscous Fluid Flow , 1974 .
[43] E. Turkel,et al. PRECONDITIONING TECHNIQUES IN COMPUTATIONAL FLUID DYNAMICS , 1999 .
[44] Wayne A. Smith,et al. Preconditioning Applied to Variable and Constant Density Flows , 1995 .
[45] Hong Luo,et al. A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids , 2014 .
[46] Hong Luo,et al. A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids , 2012, J. Comput. Phys..
[47] Jonathan A. Dantzig,et al. MODELLING LIQUID-SOLID PHASE CHANGES WITH MELT CONVECTION , 1989 .
[48] M. Liou. A Sequel to AUSM , 1996 .
[49] Michael Pernice,et al. A Multigrid-Preconditioned Newton-Krylov Method for the Incompressible Navier-Stokes Equations , 2001, SIAM J. Sci. Comput..
[50] Van Emden Henson,et al. Robustness and Scalability of Algebraic Multigrid , 1999, SIAM J. Sci. Comput..
[51] Carol S. Woodward,et al. Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer , 2001, SIAM J. Sci. Comput..
[52] William J. Rider,et al. Physics-Based Preconditioning and the Newton-Krylov Method for Non-equilibrium Radiation Diffusion , 2000 .
[53] John N. Shadid,et al. Stabilization and scalable block preconditioning for the Navier-Stokes equations , 2012, J. Comput. Phys..
[54] Paul Lin,et al. Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations , 2005 .
[55] Richard C. Martineau,et al. On physics-based preconditioning of the Navier-Stokes equations , 2009, J. Comput. Phys..
[56] Marcello Lappa,et al. A mathematical and numerical framework for the analysis of compressible thermal convection in gases at very high temperatures , 2016, J. Comput. Phys..
[57] S. Khairallah,et al. Mesoscopic Simulation Model of Selective Laser Melting of Stainless Steel Powder , 2014 .
[58] U. Ghia,et al. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .
[59] Robert Nourgaliev,et al. Recovery Discontinuous Galerkin Jacobian-Free Newton-Krylov Method for Multiphysics Problems , 2010 .
[60] Hans De Sterck,et al. Reducing Complexity in Parallel Algebraic Multigrid Preconditioners , 2004, SIAM J. Matrix Anal. Appl..
[61] John N. Shadid,et al. On a multilevel preconditioning module for unstructured mesh Krylov solvers: two-level Schwarz , 2002 .
[62] H. Guillard,et al. On the behaviour of upwind schemes in the low Mach number limit , 1999 .
[63] David K. Gartling,et al. A finite element method for low-speed compressible flows☆ , 2003 .
[64] M. Liou,et al. A New Flux Splitting Scheme , 1993 .
[65] Per-Olof Persson,et al. Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations , 2008, SIAM J. Sci. Comput..
[66] Meng-Sing Liou,et al. A sequel to AUSM, Part II: AUSM+-up for all speeds , 2006, J. Comput. Phys..