Behavior of linear reconstruction techniques on unstructured meshes

AIAA Journal

Volumn 33, Issue 11, 1995, Pages 2038-2049

  Aftosmis, Michael ^a,b   Gaitonde, Datta ^a   Tavares, T Scan ^a,c  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b NASA AMES RESEARCH CENTER   (United States)

^c Ingersoll Rand Company's Northern Research and Engineering Corp   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LIMITERS; SUPERSONIC FLOW;

ABSOLUTE ERROR; ACCURACY; AUTOMATIC MESH GENERATION; NUMERICAL CONVERGENCE; QUADRATURES;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0029482553     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.12945     Document Type: Article

References (21)

1. Barth, T. J, and Jespersen, D. C., “The Design and Application of Upwind Schemes on Unstructured Meshes,” AIAA Paper 89-0366, Jan, 1989.
2. Aftosmis, M and Kroll, N., “A Quadrilateral-Based Second-Order TVD Method for Unstructured Adaptive Meshes,” AIAA Paper 91-0124, Jan. 1991.
3. Frink, N. T, Parikh, P., and Pirzadeh, S., “A Fast Upwind Solver for the Euler Equations on Three-Dimensional Unstructured Meshes,” AIAA Paper 91-0102, Jan. 1991.
4. Fursenko, A. A., Sharov, D. M Timofeev, E. V., and Voinovich, P. A., “High-Resolution Schemes in Unstructured Grids in Transient Shocked Flow Simulation,” Lecture Notes in Physics 414, 13th International Conference on Numerical Methods in Fluid Dynamics, 1993, pp. 250-255.
5. Harten, A., “High Resolution Schemes for Hyperbolic Conservation Laws,” Journal of Computational Physics, Vol. 49, 1983, pp. 357-393.
6. van Leer, B “Flux-Vector Splitting for the Euler Equations,” Inst, for Computer Application in Science and Engineering, TR 82-30, Sept. 1982.
7. Venkatakrishnan, V., “On the Accuracy of Limiters and Convergence to Steady State Solutions,” AIAA Paper 93-0880, Jan. 1993.
8. Barth, T. J., “A 3-D Least Squares Upwind Euler Solver for Unstructured Meshes,” Lecture Notes in Physics 414, 13th International Conference on Numerical Methods in Fluid Dynamics, Springer-Verlag, 1993, pp. 240-244.
9. Barth, T. J., “Aspects of Unstructured Grids and Finite-Volume Solvers for the Euler and Navier-Stokes Equations,” AGARD Rept. 787, 1992.
10. Barth, T. J., “Recent Developments in High Order K-Exact Reconstruction on Unstructured Meshes,” AIAA Paper 93-0668, Jan. 1993.
11. Durlofsky, L. J., Engquist, B., and Osher, S., “Triangle Based Adaptive Stencils for the Solution of Hyperbolic Conservation Laws,” Journal of Computational Physics, Vol. 98, 1992, pp. 64-73.
12. Aftosmis, M., “Viscous Flow Simulation Using an Upwind Method for Hexahedral Based Adaptive Meshes,” AIAA Paper 93-0772, Jan. 1993.
13. Barth, T. J., “Numerical Aspects of Computing Viscous High Reynolds Number Flows on Unstructured Meshes,” AIAA Paper 91-0721, Jan. 1991.
14. Barth, T. J., and Frederickson, P. O., “Higher-Order Solution of the Euler Equations on Unstructured Grids Using Quadratic Reconstruction,” AIAA Paper 90-0013, Jan. 1990.
15. Godfrey, A. G., Mitchell, C. R., and Walters, R. W., “Practical Aspects of Spatially High Accurate Methods,” AIAA Paper 92-0054, 1992.
16. Coirier, W. J., and Powell, K. G., “An Accuracy Assessment of Cartesian-Mesh Approaches for the Euler Equations,” AIAA Paper 93-3335, July 1993.
17. Ni, R. H., “A Multiple-Grid Scheme for Solving the Euler Equations,” AIAA Journal, Vol. 20, 1982, pp. 1565-1571.
18. Boxer, E, Sterrett, J. R, and Wlodarski, J., “Application of Supersonic Vortex-Flow Theory to the Design of Supersonic Impulse Compressor- or Turbine-Blade Sections,” NACA RM L52B06, 1952.
19. Goldman, L. J., and Scullin, V. J., “Analytical Investigation of Supersonic Turbomachinery Blading I. Computer Program for Blading Design,” NASA TN D-4421, 1968.
20. Tavares, T. S., “A Supersonic Fan Equipped Variable Cycle Engine for a Mach 2.7 Supersonic Transport,” NASA-CR-177141, 1986.
21. Gaitonde, D„ and Shang, J., “Accuracy of Flux-Split Algorithms in High-Speed Viscous Flows,” AIAA Journal, Vol. 31, No 7, 1993, pp. 1215-1221.