Abstract
The problem of heat conduction in composite media is formulated in terms of integral equations by use of the tempered elementary solution of the unsteady diffusion operator. The integral equations are discretized in both time and space. Each homogeneous subre-gion and its surface and interfaces are represented by tetrahedral and triangular finite elements with quadratic variation of geometry and of unknown functions with respect to intrinsic coordinates. The time dependence of the unknown functions is assumed to be linear over each time step. Integration in the time domain is performed analytically, while integration with respect to spatial coordinates is developed by numerical quadrature formulas. As a result, a linear algebraic system of equations for the unknown in the nodal points is obtained. The procedure was checked with a number of test cases. The numerical experiments show that good accuracy may be obtained provided the parameters of the computation, in particular the number of Gaussian quadratur...
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.