A space-time reconstruction algorithm for steady and unsteady and Euler equations

34th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1996, Pages

  Zhang, X D ^a   Trepanier J Y ^a   Camarero, R ^a  

^a Centre de Recherche en Calcul Applique   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CHARACTERISTIC-BASED SCHEMES; CONTROL VOLUME METHODS; GEOMETRIC INFORMATION; RECONSTRUCTION ALGORITHMS; SECOND-ORDER ACCURACY; STEADY CALCULATIONS; UNSTEADY PROBLEMS; UNSTRUCTURED MESHES;

AEROSPACE ENGINEERING;

EID: 85085406614     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-529     Document Type: Conference Paper

References (19)

1. P. L. Roe. Characteristic-based schemes for the Euler equations. Annual review of fluid mechanics, 18: 337-365, 1986.
2. J. B. Goodman and R. LeVeque. A geometric approach to high resolution TVD schemes. SIAM J. Num. Anal., 25: 268-284, 1988.
3. A. Harten. High resolution schemes for hyperbolic conservation laws. J. Comp. Phys., 49: 357-393, 1983.
4. P. K. Sweby. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM J. Num. Anal., 21: 995-1011, 1984.
5. B. van Leer. Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. J. Comp. Phys., 32: 101-136, 1979.
6. A. Harten and S. Osher. Uniformly high-order accurate nonoscillatory schemes I. SIAM J. Num. Anal., 24(2): 297-309, 1987.
7. P. Colella and P. R. Woodward. The piecewice parabolic method (PPM) for gas-dynamical simulations. J. Compt. Phys., 54: 174-201, 1984.
8. H. C. Yee. A class of high-resolution explicit and implicit shock-capturing methods. Computational Fluid Dynamics. VKI Lecture Series 1989-04, 1989.
9. H. Q. Yang and A. J. Przekwas. A comparative study of advanced shock-capturing schemes applied to Berger's equation. J. Compt. Phys., 102: 139-159, 1992.
10. M. Aftosmis and N. Kroll. A quadrilateral-based second-order TVD method for unstructured adaptive meshes. AIAA Paper 91-0124, Reno, Jan. 1991.
11. V. Venicatakrishnan. A perspective on unstructured grid flow solvers. AIAA Paper 95-0667, Reno, Jan. 1995.
12. T. J. Barth and D. C. Jespersen. The design and application of upwind schemes on unstructured meshes. AIAA Paper 89-0S66, 1989.
13. V. Venlcatakrishnan. On the accuracy of limiters and convergence to steady state solutions. AIAA Paper 93-0880, Reno, Jan. 1993.
14. M. Aftosmis, D. Gaitonde, and T. S. Tavares. On the accuracy, stability and monotonicity of various reconstruction algorithms for unstructured meshes. In AIAA Paper 94-0415, Reno, USA, January 10-13 1994.
15. B. P. Leonard. The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advetion. Computer Methods in Appl. Mech. Engrg., 88: 17-74, 1991.
16. P. L. Roe. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comp. Phys., 43(2): 357-372, 1981.
17. T. J. Barth. Recent developments in high order k-exact reconstruction on unstructured meshes. AIAA Paper 93-0668, 1993.
18. C. H. Cooke and K. S. Fansler. Comparison with experiment for TVD calculations of blast waves from a shock tube. Int. J. Numer. Meth. Fluids, 9(1): 9-22, January 1989.
19. X. D. Zhang, J.-Y. Tiépanier, M. Reggio, and R. Camarero. A time-accurate local time stepping method based on a flux-updating procedure. AIAA Journal, 32(9): 1926-1929, 1994.