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A comparison of Crandall and Crank–Nicolson methods for solving a transient heat conduction problem
Author(s) -
Moore A. H.,
Kaplan B.,
Mitchell D. B.
Publication year - 1975
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.1620090413
Subject(s) - crank–nicolson method , thermal conduction , mathematics , transient (computer programming) , boundary value problem , crank , nusselt number , mathematical analysis , mechanics , thermodynamics , physics , numerical analysis , geometry , computer science , cylinder , reynolds number , turbulence , operating system
A comparison is made of the Crandall and Crank–Nicolson methods applied to a transient heat conduction problem with a convective boundary layer on its surface for a range of values of Nusselt modulus and Fourier modulus. A new equation is derived to handle the convective boundary condition. For reasonable accuracy requirements the Crank–Nicolson method gives superior performance with respect to accuracy.