20.500.12556/DKUM-92710 Quadratic time elements for time-dependent fundamental solution in the BEM for heat transfer modeling In this paper, a quadratic time interpolation for temperature and a linear time interpolation for fluxes are implemented for the parabolic (time-dependent) fundamental solution-based scheme for solving transient heat transfer problems with sources using the subdomain BEM (boundary element method), which is the main innovation of this paper. The approach described in this work to incorporate the quadratic time variation does not require doubling the number of equations, which is otherwise required in the BEM literature, for the discretized problem to be well-conditioned. Moreover, the numerical accuracy, compared over an unprecedented range of the Fourier number (Fo) and source strength values, can help in selecting the appropriate scheme for a given application, depending on the rate of the heat transfer process and the included source term. The newly implemented scheme based on the parabolic fundamental solution is compared with the well-established elliptic (Laplace) scheme, where the time derivative of the temperature is approximated with the second-order finite difference scheme, on two examples. quadratic time elements time-dependent fundamental solution heat transfer modeling boundary element method numerična analiza prenos toplote modeliranje true false false Elsevier Angleški jezik Slovenski jezik https://www.sciencedirect.com/journal/engineering-analysis-with-boundary-elements Članek v reviji 2025-05-07 11:02:31 2025-05-07 11:37:44 2025-05-08 03:21:16 0000-00-00 00:00:00 2024 0 0 str. 1-10, article. no. 106008 Vol. 169, Part B Dec. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2024-05-28 2024-10-18 2024-11-01 519.6:536.2 234323715 10.1016/j.enganabound.2024.106008 1873-197X https://www.sciencedirect.com/science/article/pii/S0955799724004818?via%3Dihub 1 02a21499-2b22-11f0-ad44-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=190753 article._no._106008_I._D._Horvat.pdf article._no._106008_I._D._Horvat.pdf 1 084ECC542F103417A2A4E42D981E65FF f04b73e665d282c7f5e131234b178fb3247d07f33ada2449b7102044b37547c5 4f362f5b-2b26-11f0-ad44-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=190754 Fakulteta za strojništvo 0 0 0