A dual-reciprocity boundary element approach for solving axisymmetric heat equation subject to specification of energy

• Published in: Engineering analysis with boundary elements Vol. 32; no. 3; pp. 210 - 215
• Main Authors: Ang, Whye-Teong, Ooi, Ean-Hin
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.03.2008; Elsevier
• Subjects: Analytical and numerical techniques; Axisymmetric; Axisymmetric heat conduction; Boundaries; Boundary element method; Boundary-integral methods; Computational techniques; Dual-reciprocity method; Exact sciences and technology; Exact solutions; Fundamental areas of phenomenology (including applications); Heat conduction; Heat equations; Heat transfer; Mathematical analysis; Mathematical methods in physics; Mathematical models; Non-local condition; Physics; Specifications; Dual-reciprocity method; Non-local condition; Axisymmetric heat conduction; Boundary element method; Heat equation; Duality; Axial symmetry; Stored energy; Exact solution; Meshless method; Reciprocity theorem; Modelling; Non local theory; Heat transfer; Thermal conduction
• ISSN: 0955-7997; 1873-197X
• DOI: 10.1016/j.enganabound.2007.08.007

A dual-reciprocity boundary element procedure is presented for the numerical solution of an axisymmetric heat conduction problem subject to a non-local condition. The non-local condition specifies the total amount of heat energy stored inside the solid under consideration. An unknown control function (of time) which governs the temperature on a certain part of the boundary of the solid is to be determined in the process of solving the axisymmetric heat equation. To check the validity of the numerical procedure, specific problems with known exact solutions are solved.