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Unconditionally Stable Finite Difference Scheme and Iterative Solution of 2D Microscale Heat Transport Equation

✍ Scribed by Jun Zhang; Jennifer J. Zhao

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 105 KB
Volume: 170
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2001.6735

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✦ Synopsis

A two-dimensional time-dependent heat transport equation at the microscale is derived. A second order finite difference scheme in both time and space is introduced and the unconditional stability of the finite difference scheme is proved. A computational procedure is designed to solve the discretized linear system at each time step by using a preconditioned conjugate gradient method. Numerical results are presented to validate the accuracy of the finite difference scheme and the efficiency of the proposed computational procedure.

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