Comparison of operators for Newton-Krylov method for solving compressible flows on unstructured meshes

AIAA Paper

Volumn , Issue , 2004, Pages 8582-8598

  Smith, Thomas M ^a   Hooper, Russell W ^a   Ober, Curtis C ^a   Lorber, Alfred A ^a   Shadid, John N ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRFOILS; ALGEBRA; APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; FINITE VOLUME METHOD; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; TURBULENT FLOW;

ALGEBRAIC EQUATIONS; INVISCID FLOW; JACOBIAN OPERATORS; STEADY-STATE SOLUTIONS;

COMPRESSIBLE FLOW;

EID: 2942754177     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2004-743     Document Type: Conference Paper

References (25)

1. T. Barth, "The Design and Application of Upwind Schemes on Unstructured Meshes," AIAA Paper 89-0366, January 1989.
2. T. Barth, "A 3-D upwind Euler solver for unstructured meshes," AIAA Paper 91-1548-CP, 1991.
3. H. Luo, J. D. Baum, and R. Lohner, "Edge-Based Finite Element scheme for the Euler Equations," AIAA Journal, vol. 32, pp. 1180-1190, June 1994.
4. T. M. Smith, C. C. Ober, and A. A. Lorber, "SIERRA/Premo - A New General Purpose Compressible Flow Simulation Code," AIAA Paper 2002-3292, June 2002.
5. H. C. Edwards and J. R. Stewart, "SIERRA: A Software Environment for Developing Complex Multiphysics Applications," in Proceedings of First MIT Conference on Computational Fluid and Solid Mechanics (K. J. Bathe, ed.), Elsevier Scientific, 2001.
6. A. Haselbacher and J. Blazek, "Accurate and Efficient discretization of Navier-Stokes Equations on Mixed Grids," AIAA Journal, vol. 38, pp. 2094-2102, November 2000.
7. P. L. Roe, "Approximate Riemann Solvers, Parameters Vectors and Difference Schemes," Journal of Computational Physics, vol. 43, pp. 357-372, 1981.
8. M.-S. Libu and B. van Leer, "Choice of Implicit and Explicit operators for the upwind differencing method," AIAA Paper 1988-0624, January 1988.
9. D. L. Whitaker, "Three-Dimensional Unstructured Grid Euler Computations Using a Fully-Implicit, Upwind Method," AIAA Paper 93-3337, January 1993.
10. B. van Leer, "Towards the Ultimate Conservation Difference Scheme III. Upstream-Centered Finite-Difference Schemes for Ideal Compressible Flow," Journal of Computational Physics, vol. 23, pp. 263-275, 1977.
11. M. Berggren, "Discrete adjoint equations and gradients for edge-based discretizations of the euler equations," tech. rep., Sandia National Laboratories, 2003. Unpublished.
12. A. Griewank, Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. SIAM, 2000.
13. H. Luo, J. D. Baum, R. Lohner, and J. Cabello, "Implicit Schemes and Boundary Conditions for Compressible Flows on Unstructured Meshes," AIAA Paper 1994-0816, January 1994.
14. H. Luo, Ji D. Baum, and R. Lohner, "A fast, matrix-free implicit method for compressible flows on unstructured grids," Journal of Computational Science, vol. 146, pp. 664-690, 1998.
15. "NOX & LOCA: Object-Oriented Nonlinear Solver and Continuation Packages." http://software.sandia.gov/nox/.
16. Y. Saad and M. Schultz, "GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems," SIAM Journal of Scientific and Statistical Computing, vol. 7, pp. 856-869, 1986.
17. P. Brown and Y. Saad, "Hybrid Krylov 'methods for nonlinear systems of equations," SIAM Journal of Statistical Computing, vol. 11, pp. 450-481, 1990.
18. Y. Saad, Iterative Methods for Sparse Linear Systems. Boston: PWS Publishing Company, 1996.
19. "Trilinos/aztecoo: Object-oriented aztec linear solver package." http://software.sandia.gov/Trilinos/doc/aztecoo/doc/html/index. html.
20. D. D. Knight, "A Fully Implicit Navier-Stokes Algorithm Using an Unstructured Grid and Flux Difference Splitting," Applied Numerical Mathematics, vol. 16, pp. 101-128, 1994.
21. P. A. Forsyth and H. Jiang, "Nonlinear Iteration Methods for High Speed Laminar Compressible Navier-Stokes Equations," Computers and Fluids, vol. 26, no. 3, pp. 249-268, 1997.
22. H. Luo, D. Baum, J. D. Sharoy, and R. Lohner, "On the Computation of Compressible Turbulent Flows on Unstructured Grids," International Journal of Computational Fluid Dynamics, vol. 14, pp. 253-270, 2001.
23. "Experimental Data Base for Computer Program Assessment," Tech. Rep. 138, AGARD Advisory Report, 1979.
24. W. K. Anderson and D. L. Bonhaus, "An Implicit Algorithm for Computing Turbulent Flows on Unstructured Grids," Computer and Fluids, vol. 23, no. 1, pp. 1-21, 1994.
25. P. R. Spalart and S. R. Allmaras, "A One-Equation Turbulence Model, for Aerodynamic Flows," AIAA Paper 92-0439, 1992.