REFERENCES
- G. F. Naterer , Heat Transfer in Single and Multiphase Systems , CRC Press , Boca Raton , FL , 2002 .
- E. O. B. Ogedengbe and G. F. Naterer , Non-inverted Skew Upwind Scheme for Three-Dimensional Convective Transport , Numer. Heat Transfer B , vol. 46 , pp. 141 – 164 , 2004 . [CSA]
- G. F. Naterer and G. E. Schneider , PHASES Model of Binary Constituent Solid–Liquid Phase Transition—Part 1. Numerical Method , Numer. Heat Transfer B , vol. 28 , no. 2 , pp. 111 – 126 , 1995 . [CSA]
- Y. Saad , Iterative Methods for Sparse Linear Systems, , 2nd ed. , Society for Industrial and Applied Mathematics , Philadelphia , PA , 2003 .
- E. Montagne and A. Ekambaram , An Optimal Storage Format for Sparse Matrices , Inform. Process. Lett. , vol. 90 , pp. 87 – 92 , 2004 . [CSA] [CROSSREF]
- R. Barrett , M. Berry , T. F. Chan , J. Demmel , J. M. Donato , J. Dongarra , V. Eijkhout , R. Pozo , C. Romine , and H. van der Vorst , Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , Society for Industrial and Applied Mathematics , Philadelphia , PA , 1994 .
- S. V. Patankar , Numerical Heat Transfer and Fluid Flow , McGraw-Hill , New York , 1980 .
- B. L. Muir and B. R. Baliga , Solution of Three-Dimensional Convection-Diffusion Problems Using Tetrahedral Elements and Flow-Oriented Interpolation Functions , Numer. Heat Transfer , vol. 9 , pp. 143 – 162 , 1986 . [CSA]
- A. J. Chorin , Numerical Solution of the Navier-Stokes Equations , Math. Comput. , vol. 22 , pp. 745 – 762 , 1968 . [CSA]
- W. B. Tsai , W. W. Lin , and C. C. Chieng , Convergence Acceleration by Self-adjusted Time-Step Size Using Bi-CGSTAB Method for Turbulent Separated Flow Computation , Int. J. Numer. Meth. Fluids , vol. 39 , pp. 141 – 159 , 2002 . [CSA] [CROSSREF]
- W. B. Tsai , W. W. Lin , and C. C. Chieng , Convergence Acceleration by Varying Time-Step Size Using Bi-CGSTAB Method for Turbulent Flow Computation, Numer. Meth. Partial Differ. Eqs. , vol. 17, pp. 454–474, 2001. [CSA] [CROSSREF]
- I. Ammara and C. Masson , Development of a Fully Coupled Control-Volume Finite Element Method for the Incompressible Navier-Stokes Equations , Int. J. Numer. Meth. Fluids , vol. 44 , pp. 621 – 644 , 2004 . [CSA] [CROSSREF]
- Y. S. Nam , H. G. Choi , and J. Y. Yoo , AILU Preconditioning for the Finite Element Formulation of the Incompressible Navier-Stokes Equations , Comput. Meth. Appl. Mech. Eng. , vol. 191 , pp. 4323 – 4339 , 2002 . [CSA] [CROSSREF]
- G. F. Naterer , Eulerian Three-Phase Formulation with Coupled Droplet Flow and Multimode Heat Transfer , Numer. Heat Transfer B , vol. 43 , no. 4 , pp. 331 – 352 , 2003 . [CSA]
- R. F. Handy , D. J. Silvester , and J. W. Chew , A Comparison of Coupled and Segregated Iterative Solution Techniques for Incompressible Swirling Flow , Int. J. Numer. Meth. Fluids , vol. 22 , pp. 353 – 373 , 1996 . [CSA] [CROSSREF]
- K. Phoon , K. Toh , S. Chan , and F. Lee , An Efficient Diagonal Preconditioner for Finite Element Solution of Biot's Consolidation Equations , Int. J. Numer. Meth. Eng. , vol. 55 , pp. 377 – 400 , 2002 . [CSA] [CROSSREF]
- A. Mazzia and G. Pini , Numerical Performance of Preconditioning Techniques for the Solution of Complex Sparse Linear Systems , Commun. Numer. Meth. Eng. , vol. 19 , pp. 37 – 48 , 2003 . [CSA] [CROSSREF]
- H. A. Van der Vorst , Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Non-symmetric Linear Systems , SIAM J. Sci. Stat. Comput. , vol. 13 , pp. 631 – 644 , 1992 . [CSA] [CROSSREF]
- H. Wolkowicz , Solving Semidefinite Programs Using Preconditioned Conjugate Gradients , Optimiz. Meth. Software , vol. 19 , no. 6 , pp. 653 – 672 , 2004 . [CSA] [CROSSREF]
- N. H. M. Ali and D. J. Evans , Preconditioned Rotated Iterative Methods in the Solution of Elliptic Partial Differential Equations , Int. J. Comput. Math. , vol. 81 , no. 9 , pp. 1163 – 1174 , 2004 . [CSA] [CROSSREF]
- M. D. Hughes and K. Chen , An Efficient Preconditioned Iterative Solver for Solving a Coupled Fluid Structure Interaction Problem , Int. J. Comput. Math. , vol. 81 , no. 5 , pp. 583 – 594 , 2004 . [CSA] [CROSSREF]
- G. F. Naterer , Predictive Entropy Based Correction of Phase-Change Computations with Fluid Flow—Part 1: Second Law Formulation , Numer. Heat Transfer B , vol. 37 , no. 4 , pp. 393 – 414 , 2000 . [CSA] [CROSSREF]
- G. F. Naterer , Predictive Entropy Based Correction of Phase-Change Computations with Fluid Flow—Part 2: Application Problems , Numer. Heat Transfer B , vol. 37 , no. 4 , pp. 415 – 436 , 2000 . [CSA] [CROSSREF]
- O. B. Adeyinka and G. F. Naterer , Apparent Entropy Production Difference with Heat and Fluid Flow Irreversibilities , Numer. Heat Transfer B , vol. 42 , no. 5 , pp. 411 – 436 , 2002 . [CSA] [CROSSREF]
- D. J. Evans , A Practical Preconditioner for Sparse Banded Linear Systems , Int. J. Comput. Math. , vol. 81 , no. 4 , pp. 447 – 454 , 2004 . [CSA]
- E. O. B. Ogedengbe and G. F. Naterer , Three-Dimensional Distributed Mass Weighting for Non-inverted Convective Skew Upwinding , AIAA J. Thermophys. Heat Transfer , vol. 18 , pp. 502 – 510 , 2004 . [CSA]
- H. A. Van der Vorst , Iterative Krylov Methods for Large Linear Systems , Cambridge University Press , New York , 2003 .
- M. Heniche , Y. Secretan , and M. Leclerc , Efficient ILU Preconditioning and Inexact Newton-GMRES to Solve the 2D Steady Shallow Water Equations , Commun. Numer. Meth. Eng. , vol. 17 , pp. 69 – 75 , 2001 . [CSA] [CROSSREF]
- Y. Saad and M. H. Schultz , GMRES: A Generalized Minimal Residual Algorithm for Solving Non-symmetric Linear Systems, SIAM J. Sci. Stat. Comput. , vol. 7, pp. 856–869, 1986. [CSA] [CROSSREF]
- J. K. Reid , The Use of Conjugate Gradients for Systems of Equations Possessing Property A , SIAM J. Numer. Anal. , pp. 325 – 332 , 1972 . [CSA] [CROSSREF]
- P. Sonneveld , CGS—A Fast Lanczos-type Solver for Non-symmetric Linear Systems , SIAM J. Sci. Stat. Comput. , vol. 10 , pp. 36 – 52 , 1989 . [CSA] [CROSSREF]
- G. Howell , Parallel Algorithms and Scientific Computing , CSC 783 Course Notes, High Performance and Grid Computing, Information Technology Division , North Carolina State University , Raleigh , NC , 2004 .