Coupled MLPG–FVM simulation of steady state heat conduction in irregular geometry. (March 2019)

• Record Type: Journal Article
• Authors: Li, Zeng-Yao; Chen, Zheng-Ji; Wu, Xue-Hong; Tao, Wen-Quan
• Is Part Of: Engineering analysis with boundary elements. Volume 100(2019)
• Page Start: 265
• Page End: 275
• Publication Date: 2019-03
• Subjects: Coupled MLPG–FVM method -- Dirichlet–Dirichlet method -- Heat conduction -- Irregular domain; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2017.12.015
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The two-dimensional steady-state heat conduction in irregular geometry is solved by a MLPG–FVM coupled method. The meshless local Petrove–Galerkin (MLPG) method is applied to the sub-region with skewed wall surface while the finite volume method (FVM) is used in the rest of the domain. The Dirichlet–Dirichlet method is adopted to couple the temperature between MLPG and FVM methods. In MLPG method, the Dirac's Delta function is taken as the test function to avoid the local domain integration which does not need the numerical integration and the solution is independent of the size of the test function. The proposed MLPG–FVM method is validated and proved to be an efficient numerical method for 2-D heat conduction in irregular geometry, which can exert their own advantages of MLPG and FVM.