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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 41, 2002 - Issue 6
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Original Articles

A NUMERICAL SCHEME FOR NON-FOURIER HEAT CONDUCTION, PART II: TWO-DIMENSIONAL PROBLEM FORMULATION AND VERIFICATION

Tung T. Lam The Aerospace Corporation, El Segundo, California, USA
&
Wing K. Yeung The Aerospace Corporation, El Segundo, California, USA
Pages 543-564 | Published online: 30 Nov 2010

References

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  • T. T. Lam and W. K. Yeung, Thermal Waves in the Substrate of Integrated Circuit Chips, in E. Suhir, M. Shiratori, Y. C. Lee, and G. Subbarayan (eds.), Advances in Electronic Packaging, ASME EEP-Vol. 19-2, pp. 2037-2044, 1997.
  • Lax , P. D. 1990 . Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves , Philadelphia, PA : SIAM .
  • Richmyer , R. D. and Morton , K. D. 1967 . Difference Methods for Initial-Value Problems , 2d , New York : Interscience .
  • Godunov , S. K. 1959 . A Finite Difference Method for the Numerical Computation of Discontinuous Solutions for the Equations of Fluid Dynamics . Mat. Sh. , 47 : 271 – 290 .
  • Yeung , W. K. and Lam , T. T. 1998 . A Numerical Scheme for Non-Fourier Heat Conduction. Part 1: One-Dimensional Problem Formulation and Applications . Numer. Heal Transfer B , 33 ( 2 ) : 215 233
  • Hector , L. G. Jr , Kim , W.-S. and Ozisik , M. N. 1992 . Propagation and Reflection of Thermal Waves in a Finite Medium Due to Axisymmetric Surface Sources . Im. J. Heat Mass Transfer , 35 ( 4 ) : 897 – 912 .
  • Hector , L. G. Jr , Kim , W.-S. and Ozisik , M. N. 1992 . Hyperbolic Heat Conduction Due to a Mode Locked Laser Pulse Train . Int. J. Eng. Sd. , 30 ( 12 ) : 1731 – 1744 .
  • Chen , H.-T. and Lin , J.-Y. 1994 . Analysis of Two-Dimensional Hyperbolic Heat Conduction Problems . Int. J. Heat Mass Transfer , 37 ( I ) : 153 – 164 .
  • Chen , H.-T. and Lin , J.-Y. 1994 . Numerical Solution of Two-Dimensional Nonlinear Hyperbolic Heat Conduction Problems . Numer. Heat Transfer B , 25 ( 3 ) : 287 – 307 .

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