Linear Time Interpolation Research Articles

Thermoelastic analysis of layered structures with imperfect layer contact

The behavior of orthotropic layered slabs and cylinders in which the temperature and stress distributions vary in the thickness direction is investigated. A finite element formulation utilizing quadratic layer elements and linear interface elements are used to perform the analyses. The transient heat conduction response is obtained using implicit linear time interpolation including the Crank-Nicolson, Galerkin and Euler backward schemes. It is shown that the modified Crank-Nicolson and modified Galerkin schemes provide computationally economical solutions which are both accurate and free of temporal oscillations. The effects of heat-transfer resistance at layer contact surfaces are illustrated through numerical examples.

Determination of the Total Precipitable Water by Varying the Intercept in Reitan's Relationship

Abstract In the relationship proposed by Reitan (1963) between the total precipitable water and the dew-point temperature at ground level, the intercept is found to be a function of the scale height of the atmospheric water vapor and of the ground temperature. The scale height is closely related to the features of the vertical moisture profile in the low troposphere. The ground temperature is responsible for diurnal and seasonal variations of the intercept which are found to be of little importance. The slope coefficient is found to have a constant value of 0.068°C −1. On this basis, a method is proposed which determines the nocturnal time pattern of the intercept, by linear interpolation in time between the daytime estimates obtained from spectral hygrometer measurements. Thus, the nocturnal time pattern of the total precipitable water can be calculated from Reitan's relationship using these interpolated values of the intercept together with the nocturnal measurements of the dew-point temperature at grou...