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Modal solution of transient heat conduction utilizing Lanczos algorithm
Author(s) -
Coutinho Alvaro L. G. A.,
Landau Luiz,
Wrobel Luiz C.,
Ebecken Nelson F. F.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620280104
Subject(s) - lanczos resampling , thermal conduction , transient (computer programming) , lanczos algorithm , work (physics) , algorithm , transformation (genetics) , modal , matrix (chemical analysis) , mathematics , computer science , engineering , materials science , physics , mechanical engineering , thermodynamics , eigenvalues and eigenvectors , chemistry , biochemistry , quantum mechanics , gene , polymer chemistry , composite material , operating system
In this work, a modal solution method for transient heat conduction utilizing a co‐ordinate transformation matrix generated by the Lanczos algorithm is presented. The special characteristics of this co‐ordinate transformation are also discussed. The comparisons made in the NASA Insulation Test problem analysis shown that this approach is more cost‐effective than direct solutions, without loss of accuracy.