Simulation of Transient Heat Transfer Based on Element-Free Galerkin Method and Increment-Dimensional Precise Integration Method

Abstract:

There were many issues in numerical methods of heat transfer problems such as instability at a big time step length or grid size and no-existence of inverse matrix by time-precise integration method. For sake of avoiding instability and calculating an inverse matrix, a coupling method was put forward based on EFGM and IDPIM. Formulae were deduced according to EFGM and IDPIM. Results show that the coupling method has a higher accuracy and its stability is small subjected to the time step length or grid size, and is to deserve to be popularized.

• Periodical: Applied Mechanics and Materials (Volumes 204-208)
• Pages: 4254-4259
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.204-208.4254
• Online since: October 2012
• Authors: Fu Liang Mei*, Gui Ling Li
• Keywords: Coupling Method, Element-Free Galerkin Method (EFGM), Increment-Dimensional Precise Integration Method (IDPIM), Transient Heat Transfer

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