ARTICLE:

• NOVEL SPECTRAL AND FINITE ELEMENT METHODS FOR UNSTEADY HEAT TRANSFER PROBLEMS  download article

Pinhas Bar-Yoseph
Computational Mechanics Laboratory, Faculty of Mechanical Engineering, Technion - Israel Institute of Technology, Haifa 32000, Israel

ABSTRACT

This paper deals with the formulation, implementation, and application of potentially powerful temporal and spatial spectral element approximations for solving unsteady nonlinear heat transfer problems. Point collocation, subdomain collocation, least squares, continuous and discontinuous Galerkin methods are analyzed and their characteristics in terms of accuracy and stability are presented and discussed. An adaptive time spectral element methodology is developed for Lagrangian spectral elements and its computational performance is demonstrated for stiff systems of ordinary differential equations appearing in chemical reactions. Space-time spectral element methods are presented and used to solve the transient diffusion of mass and energy equations in a spherical catalyst pellet with an exothermic reaction.

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