Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 2
18
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

FLUX-BASED FINITE-VOLUME FORMULATIONS AND ADAPTIVE TIME-STEPPING STRATEGIES FOR MODELING OF REENTRY THERMAL PROTECTION SYSTEMS

, &
Pages 117-136 | Received 17 Aug 1995, Accepted 08 Mar 1996, Published online: 25 Apr 2007

REFERENCES

  • R. V. Mohan and K. K. Tamma ., Flux Based Finite Volume Representations for Thermal Problems , AIAA Paper 93-2770, July 1993 .
  • R. V. Mohan and K. K. Tamma. , Finite Element/Finite Volume Approaches with Adaptive Time Stepping Strategies for Transient Thermal Problems , AIAA Paper 93-0593, Jan. 1993 .
  • T. Ouyang and K. K. Tamma , On Adaptive Time Stepping Approaches for Thermal Solidification Processes , in A. K. Noor (ed.) , ASME AMD Vol. 157 Adaptive, Multilevel and Hierarchical Computational Strategies , pp. 363 – 384 , November 1992 .
  • H. M. Adelman , R. T. Haftka ,J. C. Robinson., Studies of Implicit and Explicit Techniques in Transient Thermal Analysis of Structures , NASA Tech. Paper 2038, August 1982 .
  • W. L. Ko , R. L. Quinn , L. Gong ,D. Gonzales., Reentry Heat Transfer Analysis of the Space Shuttle Orbiter , in H. M. Adelman (ed.) , Symposium on Computational Aspects of Heat Transfer in Structures , NASA-LARC , November 1981 .
  • E. A. Thornton and K. K. Tamma , Finite Element Analysis of Structures with Thermal Protection Systems , in M. Sommerfield (ed.) , Spacecraft Thermal Control, Design, Operation , AIAA Progress Series in Aeronautics and Astronautics , 1983 .
  • K. K. Tamma and E. A. , Thornton , Reentry Thermal Structural Finite Element Analysis of Shuttle Wing Configurations , J. Spacecraft Rockets , nvol. 24 n, no. 2 , pp. 101 – 108 , 1987 .
  • R. R. Namburu and K. K. Tamma , Applicability/Evaluation of Flux Based Representations for Linear/Higher Order Elements for Heat Transfer in Structures Generalized γT Family , AIAA Paper 91-0159, January 1991 .
  • R. D. Richtmyer and K. W. Morton ., Difference Methods for Initial Value Problems , Interscience Tracts in Pure and Applied Mathematics Number 4 , Interscience , New York , 1967 .
  • P. D. Lax and B. , Wendroff , Difference Schemes for Hyperbolic Equations with High Order Accuracy , Commun. Pure Appl. Math. , nvol. 17 n, 1964 .
  • R. L. Taylor , O. C. Zienkiewicz ,J. M. Baynham., Hybrid and Mixed Finite Element Methods , pp. 405 – 431 , John Wiley , New York , 1983 .
  • K. G. Bathe . , Finite Element Procedures in Engineering Analysis , Prentice-Hall , Englewood Cliffs , NJ , 1982 .
  • T. J. R. Hughes . , The Finite Element Method , Prentice-Hall , Englewood Cliffs , NJ , 1987 .
  • K. Eriksson and C. Johnson , Error Estimators and Automatic Time Step Control for Nonlinear Parabolic Problems—I. SLAM J. Numer. Anal. , vol. 24 , no. 1 , pp. 12 – 23 , 1987 .
  • C. Johnson . , Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations , SIAMJ. Numer. Anal , nvol. 25 n, no. 4 , pp. 908 – 926 , 1988 .
  • C. Johnson , Y. Nie ,V. Thomea., An a Posteriori Error Estimate and Adaptive Time Step Control for a Backward Euler Discretization of a Parabolic Problem , SIAM J. Numer. Anal , nvol. 27 n, no. 2 , pp. 277 – 291 , 1990 .
  • A. K. Noor , C. D. Balch ,M. A. Shibut., Reduction Methods for Nonlinear Steady-State Thermal Analysis , Int. J. Numer. Meth. Eng. , nvol. 20 n, pp. 1323 – 1348 , 1984 .
  • S. D. Williams and D. M. Curry , An Implicit-Iterative Solution of the Heat Conduction Equation with a Radiation Boundary Condition , Int. J. Numer. Meth. Eng. , nvol. 11 n, pp. 1605 – 1619 , 1977 .
  • Address correspondence to Dr. Kumar K. Tamma, Department of Mechanical Engineering, University of Minnesota, 125 Mechanical Engineering Building, 111 Church Street S.E., Minneapolis, MN 55455-0111, USA.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.