A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer

Dual-phase-lagging (DPL) models constitute a family of non-Fourier models of heat conduction that allow for the presence of time lags in the heat flux and the temperature gradient. These lags may need to be considered when modeling microscale heat transfer, and thus DPL models have found application in the last years in a wide range of theoretical and technical heat transfer problems. Consequently, analytical solutions and methods for computing numerical approximations have been proposed for particular DPL models in different settings. In this work, a compact difference scheme for second order DPL models is developed, providing higher order precision than a previously proposed method. The scheme is shown to be unconditionally stable and convergent, and its accuracy is illustrated with numerical examples.

Construction of 17-19th century domes in the province of Alicante (Spain): the case of San Juan Bautista in Cox

From the late seventeenth to early nineteenth centuries, many religious temples have been built in the province of Alicante (south east of Spain) with brick domes as their main characteristic feature. Often, the limited data available about these remarkable constructions make rehabilitation interventions become into real research projects, with a high value for their historic conservation over time. The aim of this paper is to show a detailed refurbishment analysis of a religious temple built in 1778, showing the need of preservation of historic buildings as a part of the architectural heritage by establishing a common pattern of materials, geometry and constructive systems, specifically in their domes. In most cases, there was not an architectural project for the construction, that is why the analysis of any documentary and archival sources available is essential to find different ways to proceed on the use and maintenance of these religious buildings.