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Three-step multi-domain BEM for solving transient multi-media heat conduction problems. (English) Zbl 1287.80009
Summary: A three-step BEM analysis technique is proposed for solving 2D and 3D transient heat conduction problems consisting of multiple non-homogeneous media. The discretized boundary element formulation is written for each medium. The first step is to eliminate internal variables at the individual medium level; the second step is to eliminate boundary unknowns defined over nodes used only by the medium itself; and the third step is to establish the system of equations according to the continuity conditions of the temperature and heat flux at common interface nodes. Based on the central finite difference technique, an implicit time marching solution scheme is developed for solving the time-dependent system of equations. Three numerical examples are given to demonstrate the accuracy and effectiveness of the presented method.

MSC:
80M15 Boundary element methods applied to problems in thermodynamics and heat transfer
65N38 Boundary element methods for boundary value problems involving PDEs
80A20 Heat and mass transfer, heat flow (MSC2010)
Software:
RIM_DOM.F90
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