An implicit algorithm for solving time dependent flows on unstructured grids

35th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1997, Pages

  Tomaro, Robert F ^a   Strang, William Z ^a   Sankar, Lakshmi N ^b  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; ALGORITHMS; CELLS; CYTOLOGY; LINEARIZATION; NONLINEAR EQUATIONS; RUNGE KUTTA METHODS;

ALGORITHM FOR SOLVING; AXI-SYMMETRIC FLOWS; IMPLICIT ALGORITHM; NEWTON ITERATIONS; NONLINEAR ALGEBRAIC EQUATIONS; TIME INTEGRATION ALGORITHMS; TIME-DEPENDENT FLOW; UNSTRUCTURED GRID;

ITERATIVE METHODS;

EID: 84982318344     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (22)

1. Batina, J. T., "Implicit Upwind Solution Algorithms for Three Dimensional Unstructured Meshes," AIAA Journal, Vol 31, no 5, May 1993, p. 801-805.
2. Billey, V., Periaux, J., Stoufflet, B., Derieux, A., Fczoui, L, and Selmin, V., "Recent Improvements in Galerkin and Upwind Euler Solvers and Application to Three Dimensional Transonic Flow in Aircraft Design," Computer Methods in Applied Mechanics and Engineering, Vol 75, October 1989, p 409-414.
3. Barth, T. J. and Jespersen, D. C., "The Design and Application of Upwind Schemes on Unstructured Meshes," AIAA Paper 89-0336, January 1989.
4. Newman, J. C., "Flow Simulations about Steady-Complex and Unsteady Moving Configurations Using Structured-Overlapped and Unstructured Grids," NASA-CR-199781, January 1995.
5. Thareja, R. R., Stewart, J. R., Hassan, O., Morgan, K. and Peraire, J., "A Point Implicit Unstructured Grid Solver For the Euler and Navier-Stokes Equations," International Journal for Numerical Methods in Fluids, Vol 9, 1989, p.405-425.
6. Hassan, O., Morgan, K. and Peraire, J., "An Implicit/Explicit Scheme for Compressible Viscous High Speed Flows," Computer Methods in Applied Mechanics and Engineering, Vol 76, November 1989, p. 245-258.
7. Slack, D. C., Whitaker, D. L. and Walters, R. W, "Time Integration Algorithms for Two Dimensional Euler Equations on Unstructured Meshes," AIAA Journal, Vol 32, no 6, June 1994, p. 1158-1166.
8. Knight, D. D., "A Fully Implicit Navier-Stokes Algorithm using an Unstructured Grid and Flux Difference Splitting," Applied Numerical Mathematics, Vol 16, 1994, p 101-128.
9. Rausch, R. D., Batina, J. T. and Yang, H. T. Y., "Spatial Adaptation Procedures on Unstructured Meshes for Accurate Unsteady Aerodynamic Computations," AIAA 91-1106, April 1991.
10. Venkatakrishnan, V. and Mavriplis, D. J., "Implicit Methods for the Computation of Unsteady Flows on Unstructured Grids," NASA-CR-198206, August 1995.
11. Venkatakrishnan, V. and Mavriplis, D. J., "Implicit Solvers for Unstructured Meshes," NASACR-187564, May 1991.
12. Collela, P., "Glimm’s Method for Gas Dynamics," SIAMJ. Sci. Stat. Comput., Vol 3, № l, 1982, p. 76-110.
13. Strang, W. Z., "Cobalt User’s Manual," WL/FIMC WPAFB, OH 45433, February 1995.
14. Godunov, S. K., "A Finite Difference Method for the Numerical Calculation of Discontinuous Solutions of Equations of Fluid Dynamics," Mat. Sb., Vol 47, 1959, p. 271-290.
15. Gottlieb, J. J. and Groth, C. P. T., "Assessment of Riemann Solvers for Unsteady One-Dimensional Inviscid Flows of Perfect Gases," Journal of Computational Physics, Vol 78, 1988, p. 437-458.
16. Jameson, A. and Turkel, E., "Implicit Schemes and LU Decompostions," Mathematics of Computation, Vol 37, no 156, October 1981, p. 385-397.
17. Yoon, S. and Kwak, D., "Implicit Navier-Stokes Solver for Three Dimensional Compressible Flows," AIAA Journal, Vol 30, no 11, November 1992, p. 2653-2659.
18. Wentz, W. H., and Seetharam, H. C., "Development of Fowler Flap System for a High Performance General Aviation Airfoil," NASA-CR-2443, December 1974.
19. Tijdeman, H., van Nunen, J. W.G., Kraan, A. N., A. J., Poeslkoke. R., Roos, R., Schippers, P., and Siebert, C. M., "Transonic Wind Tunnel Tests on an Oscillating Wing with External Stores, Part I: General Description," AFFDL-TR-78-194, Part I, December 1978.
20. Tijdeman, H., van Nunen, J. W. G., Kraan, A. N., A. J., Poestkoke, R., Roos, R., Schippers, P., and Siebert, C. M., "Transonic Wind Tunnel Tests on an Oscillating Wing with External Stores, Part II: Clean Wing," AFFDL-TR-78-194, Part II, March 1979.
21. Weed, R. A., "Computational Strategies for Three-Dimensional Flow Simulations on Distributed Computing Systems," Ph D. Dissertation, School of Aerospace Engineering, Georgia Institute of Technology, August 1995.
22. Mello, O. A., "An Improved Hybrid Navier-Stokes/Full Potential Method for Computation of Unsteady Compressible Viscous Flows," Ph D. Dissertation, School of Aerospace Engineering, Georgia Institute of Technology, November 1994.