One-dimensional ablation using a full Newton's method and finite control volume procedure

Collection of Technical Papers - 9th AIAA/ASME Joint Thermophysics and Heat Transfer Conference Proceedings

Volumn 1, Issue , 2006, Pages 26-51

  Amar, A J ^a,b,d,e   Blackwell, B F ^c,e,f,g   Edwards, J R ^b,e,h  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

^c Blackwell Consulting   (United States)

^d Aerosciences and Compressible Fluid Mechanics Department   (United States)

^e AIAA   (United States)

^f SANDIA NATIONAL LABORATORIES   (United States)

^g North Carolina State University   (United States)

^h Department of Mechanical and Aerospace Engineering ^*

Author keywords

[No Author keywords available]

Indexed keywords

CODES (SYMBOLS); CONVERGENCE OF NUMERICAL METHODS; DISCRETE TIME CONTROL SYSTEMS; FINITE ELEMENT METHOD; ITERATIVE METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING; THERMAL EFFECTS;

CONSTANT DENSITY MATERIAL; FINITE CONTROL VOLUME PROCEDURES; NEWTON'S METHOD; THERMAL RESPONSE CODES;

LASER ABLATION;

EID: 33845514710     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-2910     Document Type: Conference Paper

References (19)

1. Moyer, C. B., and Rindal, R. A., "An Analysis of the Coupled Chemically Reacting Boundary Layer and Charring Ablator, Part II, Finite Difference Solution for the In-Depth Response of Charring Materials Considering Surface Chemical and Energy Balances," NASA CR-1061, June 1968.
2. Suzuki, T., Sawada, K., Yamada, T., and Inatani, Y., "Thermal Response of Ablative Test Piece in Arc-Heated Wind Tunnel," AIAA Paper 2004-341, January 2004.
3. Blackwell, B. F., "Numerical Prediction of One-Dimensional Ablation Using a Finite Control Volume Procedure with Exponential Differencing," Numerical Heat Transfer, Vol. 14, No. 1, 1988, pp. 17-34.
4. Blackwell, B. F., and Hogan, R. E., "One-Dimensional Ablation Using Landau Transformation and Finite Control Volume Procedure," Journal of Thermophysics and Heat Transfer, Vol. 8, No. 2, 1994, pp. 282-287.
5. Hogan, R. E., Blackwell, B. F., and Cochran, R. J., "Application of Moving Grid Control Volume Finite Element Method to Ablation Problems," Journal of Thermophysics and Heat Transfer, Vol. 10, No. 2, 1996, pp, 312-319.
6. Suzuki, T., Sawada, K., Yamada, T., and Inatani, Y., "Experimental and Numerical Study of Pyrolysis Gas Pressure in Ablating Test Piece," Journal of Thermophysics and Heat Transfer, Vol. 19, No, 3, 2005, pp. 266-272.
7. Chen, Y. -K., Milos, F. S., "Ablation and Thermal Response Program for Spacecraft Heatshield Analysis," Journal of Spacecraft and Rockets, Vol. 36, No. 3, 1999, pp. 475-583.
8. Chen, Y. -K., Milos, F. S., "Two-Dimensional Implicit Thermal Response and Ablation Program for Charring Materials on Hypersonic Space Vehicles," AIAA Paper 2000-0206, January, 2000.
9. Chen, Y. -K., Milos, F. S., "Three-Dimensional Ablation and Thermal Response Simulation System," AIAA Paper 2005-5064, June, 2005.
10. Landau, H. G., "Heat Conduction in a Melting Solid," Quarterly of Applied Math, Vol. VIII, No. 1, 1950, pp. 81-94.
11. Kays, W. M., and Crawford, M. E., Connective Heat and Mass Transfer, 2nd Edition, McGraw-Hill, 1980, pp. 355-357.
12. Reshotko, E., and Cohen, C. B., NACA TN 3513, Washington, DC, July 1955.
13. Eckert, E. R. G., and Drake, R. M., Jr., Analysis of Heat and Mass Transfer, McGraw-Hill, New York, NY, 1972.
14. Arpaci, V. S., Conduction Heat Transfer, Addison-Wesley, Reading, MA, 1966.
15. Beck, J. V., Blackwell, B. F., and St. Clair, C. R., Inverse Heat Conduction Problems, Wiley-Interscience, New York, NY, 1985.
16. Gerald, C. F., Wheatley, P. O., Applied Numerical Analysis, 5th Edition, Addison-Wesley, Reading, MA, 1994.
17. Blottner F. G., "Variable Grid Scheme Applied to Turbulent Boundary Layers," Computer Methods in Applied Mechanics and Engineering, Vol. 4, pp, 179-194, 1974.
18. Blottner F. G., "Variable Grid Scheme for Discontinuous Grid Spacing and Derivatives," Computers and Fluids, Vol. 8, pp. 421-434, 1980.
19. Roache, P. J., Verification and Validation in Computational Science and Engineering, Hermosa Publishers, Albuquerque, NM, 1998.