High-order ENO and WENO schemes for unstructured grids

International Journal for Numerical Methods in Fluids

Volumn 55, Issue 10, 2007, Pages 917-943

  Wolf, W R ^a   Azevedo, Joao Luiz F ^b  

^a INSTITUTO TECNOLÓGICO DE AERONÁUTICA   (Brazil)

^b INSTITUTO DE AERONÁUTICA E ESPAÇO   (Brazil)

Author keywords

Aerodynamics; Compressible flow; ENO schemes; Unstructured grids; WENO schemes

Indexed keywords

ALGORITHMS; COMPRESSIBLE FLOW; COMPUTER SIMULATION; FINITE VOLUME METHOD; FLOW FIELDS; RUNGE KUTTA METHODS;

ESSENTIALLY NON-OSCILLATORY (ENO); HIGH-SPEED FLOWS; UNSTRUCTURED GRIDS; WEIGHTED ESSENTIALLY NON-OSCILLATORY (WENO);

AERODYNAMICS;

AERODYNAMICS; ALGORITHMS; COMPRESSIBLE FLOW; COMPUTER SIMULATION; FINITE VOLUME METHOD; FLOW FIELDS; RUNGE KUTTA METHODS;

EID: 36849041424     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1469     Document Type: Article

References (24)

1. Wolf WR, Azevedo JLF. High-order unstructured grid ENO and WENO schemes applied to aerodynamics flows. Proceedings of the 17th AIAA Computational Fluid Dynamics Conference, AIAA Paper No. 2005-5115, Toronto, Canada, 2005.
2. Azevedo JLF, Korzenowski H. Comparison of unstructured grid finite volume methods for cold gas hypersonic flow simulations. Proceedings of the 16th AIAA Applied Aerodynamics Conference, AIAA Paper No. 98-2629, Albuquerque, New Mexico, 1998.
3. Figueira da Silva LF, Azevedo JLF, Korzenowski H. Unstructured adaptive grid flow simulations of inert and reactive gas mixtures. Journal of Computational Physics 2000; 160(2):522-540.
4. Azevedo JLF, Figueira da Silva LF, Strauss D. Order of accuracy study of unstructured grid finite volume upwind schemes. Journal of the Brazilian Society of Mechanical Sciences and Engineering 2007, accepted for publication.
5. van Leer B. Flux-vector splitting for the Euler equations. Proceedings of the 8th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol. 170. Springer: Berlin, 1982; 507-512.
6. Liou MS. A sequel to AUSM:AUSM+. Journal of Computational Physics 1996; 129(2):364-382.
7. Roe PL. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics 1981; 43(2):200-212.
8. Anderson WK, Thomas JL, van Leer B. A comparison of finite volume flux vector splittings for the Euler equations. AIAA Journal 1986; 24(9):1453-1460.
9. Hirsch C. Numerical Computation of Internal and External Flows, vol. 2. Wiley: New York, 1990.
10. Harten A, Osher S, Engquist B, Chakravarthy SR. Uniformly high-order accurate essentially non-oscillatory schemes III. Journal of Computational Physics 1987; 71(2):231-303.
11. Liu XD, Osher S, Chan T. Weighted essentially non-oscillatory schemes. Journal of Computational Physics 1994; 115(1):200-212.
12. Sonar T. On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: polynomial recovery, accuracy and stencil selection. Computer Methods in Applied Mechanics and Engineering 1997; 140(2):157-181.
13. Friedrich O. Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids. Journal of Computational Physics 1998; 144(1):194-212.
14. Shu CW, Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics 1988; 77(2):439-471.
15. Gooch CFO. High order ENO schemes for unstructured meshes based on least-squares reconstruction. Report No. P631-1296, Argonne National Laboratory, Mathematics and Computer Science Division, 1997.
16. Abgrall R. On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation. Journal of Computational Physics 1994; 114(1):45-58.
17. Hu C, Shu CW. Weighted essentially non-oscillatory schemes on triangular meshes. Journal of Computational Physics 1999; 150(1):97-127.
18. Jiang GS, Shu CW. Efficient implementation of weighted ENO schemes. Journal of Computational Physics 1996; 126(1):77-99.
19. Harten A, Chakravarthy SR. Multi-dimensional ENO schemes for general geometries. ICASE Report No. 91-76, 1991.
20. Shapiro AH. The Dynamics and Thermodynamics of Compressible Fluid Flow, vol. 2. The Ronald Press: New York, 1954.
21. Vankeirsbilck P, Deconinck H. Higher order upwind finite volume schemes with ENO-properties for general unstructured meshes. AGARD Report No. 787, 1992.
22. Woodward P, Colella P. The numerical simulation of two dimensional fluid flow with strong shocks. Journal of Computational Physics 1984; 54(1):115-173.
23. Wolf WR, Azevedo JLF. Essentially non-oscillatory schemes on cold gas hypersonic flow simulations. Proceedings of the XXVI Iberian Latin-American Congress on Computational Methods in Engineering, Guarapari, ES, Brazil, 2005.
24. Perry KM, Imlay ST. Blunt body flow simulations. 24th AIAA Joint Propulsion Conference, AIAA Paper No. 88-2904, Boston, MA, 1988.