TRANSIENT HEAT FLOW ANALYSIS USING FEAAND LAPLACE TRANSFORM-BASED COLLOCATION METHOD

摘要

Finite Element Analysis (FEA) and the Laplace Transform-Based Fundamental Collocation Method (FCM) are applied to regions of arbitrary shapes subjected to arbitrary initial and mixed type boundary conditions. In the FEA process the time derivative is replaced with finite difference method (FCM) and resulting the time dependent global equations are solved incrementally using the initial conditions. The FCM approach is applied in the Laplace transform domain temperatures are obtained in the Laplace domain. Subsequent inversion technique is used to retrieve the time domain solution. To assess applicability and accuracy of these methods, they are applied to typical transient heat flow cases for which exact solutions can be obtained by separation of variables.