Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem

Abstract

This is a repository copy of Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem.

Thermal Analysis of an Antenna

“…Firstly, material models were added to the air domain (density of 1.29 kg/m 3 ) in LS-PrePost as listed in Table 1; secondly, material models were added to the radome; then, material models were added to the heat shield; next, material models [8] were added to the thermal shield, Yin steel ring, and antenna (Table 2).…”

The Well-Posed Identification of the Interface Heat Transfer Coefficient Using an Inverse Heat Conduction Model

“…The conditions (5) were used in [23,24] to determine the heat flux on the outer boundary and the existence and uniqueness theorems were proven. It is often the case when the integrals in (5) are taken over the boundary of a domain [25,26] and the heat transfer coefficient, depending on time or space variables, is determined. In these articles, the problem is reduced to a control problem, which is studied theoretically, and some existence theories are presented.…”

Sequential estimation of the time-dependent heat transfer coefficient using the method of fundamental solutions and particle filters

“…The mathematical formulation and analysis of this paper can also be extended to higher dimensions, [25][26][27][28], and numerically analysed, in principle, using the same approach based on the SIR particle filter combined with the MFS, [27]. Space-dependent thermal conductivity can also be analysed with the MFS in case it is square-root harmonic, [29], or for a piecewise homogeneous layered material, [30].…”