Krylov‐accelerated algebraic multigrid for semi‐definite and nonsymmetric systems in computational fluid dynamics

[1]  Yousef Saad,et al.  A Flexible Inner-Outer Preconditioned GMRES Algorithm , 1993, SIAM J. Sci. Comput..

[2]  W. Jones,et al.  The prediction of laminarization with a two-equation model of turbulence , 1972 .

[3]  B. Basara,et al.  SIMPLE‐H: a finite‐volume pressure–enthalpy coupling scheme for flows with variable density , 2012 .

[4]  Patrick Amestoy,et al.  A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling , 2001, SIAM J. Matrix Anal. Appl..

[5]  I. Demirdzic,et al.  Numerical method for coupled fluid flow, heat transfer and stress analysis using unstructured moving meshes with cells of arbitrary topology , 1995 .

[6]  J. Murthy,et al.  A PRESSURE-BASED METHOD FOR UNSTRUCTURED MESHES , 1997 .

[7]  J. W. Ruge,et al.  4. Algebraic Multigrid , 1987 .

[8]  M. Hadžiabdić,et al.  A robust near-wall elliptic-relaxation eddy-viscosity turbulence model for CFD , 2004 .

[9]  Yvan Notay,et al.  Recursive Krylov‐based multigrid cycles , 2008, Numer. Linear Algebra Appl..

[10]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[11]  Maximilian Emans.  Efficient Parallel AMG Methods for Approximate Solutions of Linear Systems in CFD Applications , 2010 .

[12]  V. E. Henson,et al.  BoomerAMG: a parallel algebraic multigrid solver and preconditioner , 2002 .

[13]  Branislav Basara,et al.  Simulation of single‐ and two‐phase flows on sliding unstructured meshes using finite volume method , 2004 .

[14]  S. Eisenstat,et al.  Variational Iterative Methods for Nonsymmetric Systems of Linear Equations , 1983 .

[15]  Wayne A. Smith,et al.  Implicit Solution of Preconditioned Navier- Stokes Equations Using Algebraic Multigrid , 1999 .

[16]  Z. J. Chen,et al.  A coupled pressure-based computational method for incompressible/compressible flows , 2010, J. Comput. Phys..

[17]  Yvan Notay.  Flexible Conjugate Gradients , 2000, SIAM J. Sci. Comput..

[18]  Roger W. Hockney,et al.  Performance parameters and benchmarking of supercomputers , 1991, Parallel Comput..

[19]  Owe Axelsson,et al.  Variable-step multilevel preconditioning methods, I: Self-adjoint and positive definite elliptic problems , 1994, Numer. Linear Algebra Appl..

[20]  Vipin Kumar,et al.  A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..

[21]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .

[22]  Maximilian Emans,et al.  AMG for Linear Systems in Engine Flow Simulations , 2009, PPAM.

[23]  Y. Notay.  An aggregation-based algebraic multigrid method , 2010 .

[24]  Henk A. van der Vorst,et al.  Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..

[25]  Maximilian Emans,et al.  Performance of parallel AMG-preconditioners in CFD-codes for weakly compressible flows , 2010, Parallel Comput..

[26]  M. Perić,et al.  A collocated finite volume method for predicting flows at all speeds , 1993 .

[27]  F. Moukalled,et al.  A coupled finite volume solver for the solution of incompressible flows on unstructured grids , 2009, J. Comput. Phys..

[28]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .