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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51944

Title: A combined scheme of generalized finite difference method and Krylov deferred correction technique for highly accurate solution of transient heat conduction problems
Authors: W. Qu
Y. Gu
Y. Zhang
C.M. Fan
C. Zhang
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: generalized finite difference method
Krylov deferred correction method
long‐time simulation
meshless method
transient heat conduction
Date: 2019-01
Issue Date: 2019-01-09T07:16:23Z
Publisher: International Journal for Numerical Methods in Engineering
Abstract: Abstract: This paper presents a numerical framework for the highly accurate solutions of transient heat conduction problems. The numerical framework discretizes the temporal direction of the problems by introducing the Krylov deferred correction (KDC) approach, which is arbitrarily high order of accuracy while remaining the computational complexity same as in the time‐marching of first‐order methods. The discretization by employing the KDC method yields a boundary value problem of the inhomogeneous modified Helmholtz equation at each time step. The meshless generalized finite difference method (GFDM) or meshless finite difference method (MFDM), a meshless method, is then applied to the solution of resulting boundary value problems at each time step. Six numerical experiments in one‐, two‐, and three‐dimensional cases show that the proposed hybrid KDC‐GFDM scheme allows big time step size for a long‐time dynamic simulation and has a great potential for the problems with complex boundaries. In addition, some comparisons are also presented between the present method, the COMSOL software, and the GFDM with implicit Euler method.
Relation: 117(1) pp.63-83
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51944
Appears in Collections:[河海工程學系] 期刊論文

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