On robust and accurate arbitrary polytope CFD solvers

Collection of Technical Papers - 18th AIAA Computational Fluid Dynamics Conference

Volumn 1, Issue , 2007, Pages 527-542

  Luke, E ^a,b  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FINITE VOLUME METHOD; MESH GENERATION; ROBUST CONTROL; TOPOLOGY;

ACCURATE ARBITRARY POLYTOPE; ELEMENT TOPOLOGIES; MESH TOPOLOGY; SIMPLEX ELEMENTS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 35649009365     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2007-3956     Document Type: Conference Paper

References (19)

1. Luke, E. and George, T., "Loci: A Rule-Based Framework for Parallel Multidisciplinary Simulation Synthesis"," Journal of Functional Programming, Vol. 15, No. 3, May 2005, pp. 477-502.
2. Luke, E. and Cinnella, P., "Numerical simulations of mixtures of fluids using upwind algorithms," Computers and Fluids, No. doi:10.1016/j.compfluid.207.03.008, 2007, in Press.
3. Barth, T. J. and Jespersen, D. C., "The Design and Application of Upwind Schemes on Unstructured Meshes," Tech. rep., AIAA, 1989, AIAA 89-0366.
4. Venkatakrishnan, V., "On the accuracy of limiters and convergence to steady state solutions," Tech. rep., AIAA, 1993, AIAA 93-0880.
5. Walters, R. W., Cinnella, P., Slack, D. C., and Halt, D., Characteristic-Based Algorithms for Flows in Thermodynamic Nonequilibrium," AIAA Journal, Vol. 30, 1992, pp. 1304-1313.
6. Quirk, J., "A contribution to the great Riemann debate," Tech. rep., ICASE Report, 1992.
7. Einfeldt, B., "On Godunov-type method for gas dynamics," SIAM Journal on Numerical Analysis, Vol. 25, 1988, pp. 294-318.
8. Larrouturou, B., "How to preserve the mass fraction positivity when computing compressible multi-component flows," Journal of Computational Physics, Vol. 95, No. 1, 1991, pp. 59-84.
9. Strang, W., Tomaro, R., and Grismer, M., "The Defining Methods of Cobalt60: A Parallel, Implicit, Unstructured Euler/Navier-Stokes Flow Solver," AIAA, 1999, Paper Number 99-0786.
10. Hebert, S. and Luke, E., "Honey, I Shrunk the Grids! A New Approach to CFD Verification Studies," Tech. Rep. AIAA Paper No. 2005-0685, AIAA, 2005.
11. Roy, C., Tendean, E., Veluri, S., Rifki, R., Luke, E., and Hebert, S., "Verification of RANS Turbulence Models in Loci-CHEM using the Method of Manufactured Solutions," Tech. Rep. AIAA Paper No. 2007-4203, AIAA, 2007.
12. Beam, R. and Warming, R., "An Implicit Factored Scheme for the Compressible Navier-Stokes Equations," AIAA Journal, Vol. 16, No. 4, April 1978, pp. 393-404.
13. Luke, E. A., A Rule-Based Specification System for Computational Fluid Dynamics, Ph.D. thesis, Mississippi State University, 1999.
14. Ridders, C. J. F., "A New Algorithm for Computing a Single Root of a Real Continuous Function," IEEE Transactions on Circuits and Systems, Vol. 26, 1979, pp. 979-980.
15. Schmitt, V. and Charpin, F., "Pressure Distributions on the ONERA-M6-Wing at Transonic Mach Numbers," Tech. Rep. AGARD Report No. AR 138, May 1979.
16. Chalasani, S., Thompson, D., and Soni, B., "Topological Adaptivity for Mash Quality Improvement," Proceedings of the 8th International Conference on Numerical Grid Generation in Computational Field Simulations, Honolulu, HI, June 2002, p. Available on CD.
17. Chalasani, S. and Thompson, D., "Quality Improvments in Extruded Meshes using Topologicals Adaptive Generalized Elements," International Journal of Numerical Methods Engineering, (submitted).
18. Mani, M., Ladd, J., Cain, A., and Bush, R. H., "An Assessment of One- and Two-Equation Turbulence Models for Internal and External Flows," AIAA, 1997, Paper Number 97-2010.
19. Kang, S. and Dunn, M., "Theoretical and Measured Electron-Density Distributions for the RAM Vehicle at High Altitude," Tech. Rep. AIAA Paper No. 72-689, AIAA, 1972.