A Numerical Grid Generation Scheme for Thermal Simulations in Laminated Structures

  • Patricia H. James
  • Christopher S. Welch
  • William P. Winfree


Significant efforts are being made to improve the safety of the solid rocket motor (SRM) for the shuttle. The SRM is a laminated structure consisting of four layers of materials: a steel casing, bonded to NBR insulation, the liner, and the propellant. One of the candidate inspection techniques is a thermal technique which analyzes the response of the SRM to an external heat source for detection of disbonds at the interfaces between the steel, NBR and fuel. Computational simulations of experimental measurements can provide limits of the effectiveness of the technique and easily assume a variety of different defect geometries to determine their detectability without the expense of making many different samples. Simulations can also provide useful information for the experimenter including the heating protocol that will provide the greatest contrast and the typical flaw size that can be detected.


Grid Point Truncation Error Front Face Material Interface Grid Line 
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  1. 1.
    Joe F. Thompson, Z.U.A. Warsi, and C.W. Mastin, “Boundary-Fitted Coordinate Systems for Numerical Solutions of Partial Differential Equations — A Review:”, Journal of Computational Physics, 47,1, (1982).CrossRefGoogle Scholar
  2. 2.
    Peter R. Eiseman, and Robert Smith, “Mesh Generation Using Algebraic Techniques”, Ed. Robert E. Smith, NASA CP-2166, (1980).Google Scholar
  3. 3.
    R.L. Sorenson, “A Computer Program to Generate Two-Dimensional Grids About Airfoils and Other Shapes by the Use of Poisson’s Equations”, NASA Ames Research Center, NASA TM 81198, (1980).Google Scholar
  4. 4.
    Dale A. Anderson, John C. Tannehill, and Richard H. Pletcher, Computational Fluid Mechanics and Heat Transfer, (Hemisphere Publishing Corporation, McGraw-Hill Book Company, New York, 1984), p. 521.Google Scholar
  5. Anderson, Tannehill, and Pletcher, p. 521.Google Scholar
  6. 6.
    Joe F. Thompson, Z.U.A. Warsi, and C.W. Mastin, Numerical Grid Generation — Foundations and Applications, (North-Holland Press, New York, 1985), p.306.Google Scholar
  7. Anderson, Tannehill, and Pletcher, pp.250–251Google Scholar
  8. 8.
    H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids, (Oxford University Press, London, 1959), pp. 319–324.Google Scholar
  9. 9.
    Thompson, Warsi, and Mastin, Numerical grid Generation Foundations and Applications, (North-Holland Press, New York, 1985), pp. 171–184.Google Scholar

Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Patricia H. James
    • 1
    • 2
  • Christopher S. Welch
    • 1
    • 3
  • William P. Winfree
    • 1
  1. 1.MS 231, Langley Research CenterNASAUSA
  2. 2.Analytical Services & MaterialsUSA
  3. 3.College of William & MaryUSA

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