A comparison of Crandall and Crank–Nicolson methods for solving a transient heat conduction problem | Zendy

Moore A. H. | Zendy; Kaplan B. | Zendy; Mitchell D. B. | Zendy

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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.

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