Unsteady euler solutions for arbitrarily moving bodies and boundaries

AIAA Journal

Volumn 31, Issue 10, 1993, Pages 1869-1876

  Trepanier J Y ^a   Reggio, M ^a   Paraschivoiu, M ^a   Camarero, R ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BODIES OF REVOLUTION; ERROR ANALYSIS; GEOMETRY; IMAGE ANALYSIS; IMAGING TECHNIQUES; ITERATIVE METHODS; MATHEMATICAL MODELS;

MOVING BODIES AND BOUNDARIES; ROE'S APPROXIMATE RIEMANN SOLVER; UNSTEADY EULER SOLUTIONS;

UNSTEADY FLOW;

ANALYSIS-MATHEMATICAL; EULER FLOWS; FLOW ANALYSIS;

EID: 0027676101     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.11861     Document Type: Article

References (20)

1. Löhner, R., “An Adaptive Finite Element Solver for Transient Problems with Moving Bodies,” Computers and Structures, Vol. 30, No. 1/2, 1988, pp. 303-317.
2. Mavriplis, D. J., “Adaptive Mesh Generation for Viscous Flows Using Delaunay Triangulation,” Journal of Computational Physics, Vol. 90, No. 2, 1990, pp. 271-291.
3. Oden, J. T., Strouboulis, T., and Devloo, P., “Adaptive Finite Element Methods for High-Speed Compressible Flows,” International Journal for Numerical Methods in Fluids, Vol. 7, No. 11, 1987, pp. 1211-1228.
4. Probert, E. J., Hassan, O., Morgan, K., and Peraire, J., “An Adaptive Finite-Element Methods for Transient Compressible Flows with Moving Boundaries,” International Journal for Numerical Methods in Engineering, Vol. 32, No. 4, 1991, pp. 751-765.
5. Thompson, J. F., “A Survey of Dynamically-Adapted Grids in the Numerical Solution of Partial Differential Equations,” AIAA Paper 84-1606, June 1984.
6. Trepanier, J. Y., Reggio, M., Zhang, H., and Camarero, R., “A Finite Volume Method for Solving the Euler Equations on Arbitrary Lagrangian-Eulerian Grids,” Computers and Fluids, Vol. 20, No. 4, 1991, pp. 399-409.
7. Zhang, H., Reggio, M., Trepanier, J. Y., and Camarero, R., “Discrete Form of the GCL for Moving Meshes and Its Implementa-tion in CFD Schemes,” Computers and Fluids, Vol. 22, No. 1, 1993, pp. 9-23.
8. Harlow, F., and Amdsen, A., “A Numerical Fluid Dynamics Calculation Method for All Flow Speeds,” Journal of Computational Physics, Vol. 8, 1971, pp. 197-213.
9. Donea, J., “Arbitrary Lagrangian-Eulerian Grids Arbitrary La-grangian-Eulerian Finite Element Methods,” Computational Methods for Transient Analysis, edited by T. Belytschko and T. Hughes, Elsevier Science Publishers B.V., The Netherlands, 1983, pp. 473-516.
10. Trease, H. E., “Two-Dimensional Free Lagrangian Hydrodynamics,” Ph.D. Thesis, Univ. of Illinois, Urbana-Champaign, IL, 1981.
11. Roe, P. L., “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes,” Journal of Computational Physics, Vol. 43, No. 2, 1981, pp. 357-372.
12. Barth, T. J., and Jespersen, D. C., “The Design and Application of Upwind Schemes on Unstructured Meshes,” AIAA Paper 89-0366, Jan. 1989.
13. Trepanier, J. Y., Reggio, M., and Ait Ali Yahia, D., “An Implicit Flux-Difference Splitting Method for Solving the Euler Equations on Adaptive Triangular Grids,” International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 3, No. 1, 1993, pp. 63-77.
14. Babuska, I., and Rheinboldt, W. C., “Error Estimates for Adaptive Finite Element Computations,” SIAM Journal of Numerical Analysis, Vol. 15, No. 4, 1978, pp. 736-754.
15. Zhang, H., Trepanier, J. Y., Reggio, M., and Camarero, R., “A Navier-Stokes Solver for Stretched Triangular Grids,” AIAA 30th Aerospace Sciences Meeting, AIAA Paper 92-0183, Reno, NV, Jan. 1992.
16. Lawson, C. L., “Software for cl Interpolation,” Mathematical Software III, Academic Press, New York, 1977, pp. 166-194.
17. Formaggia, L., Peraire, J., and Morgan, K., “Solution of a Store Separation Using a Finite Element Method,” Applied Mathematical Modelling, Vol. 12, 1988, pp. 175-181.
18. Trepanier, J. Y., Zhang, H., Reggio, M., and Paraschivoiu, M., “Periodic Euler and Navier-Stokes Solutions About Oscillating Profiles,” Canadian Aeronautics and Space Journal, Vol. 38, No. 2, 1992, pp. 71-75.
19. Paraschivoiu, M., “Unsteady Euler Solution for Oscillating Airfoil and Oscillating Flap,” AIAA Paper 92-0131, Jan. 1992.
20. Cook, C. H., and Fansler, K. S., “Comparison with Experiments for TVD Calculations of Blast Waves from a Shock Tube,” International Journal for Numerical Methods in Fluids, Vol. 9, No. 1, 1989, pp. 9-22.