In this paper, transfinite element method is used to analyze the two dimensional thermoelasticity problems. A comparison is made between the thermoelastic analysis results of the classical theory and theories with one or two relaxation times (i.e. L-S and G-L theories), for the half space problem. Governing equations are transformed to Laplace domain and then, node variables are calculated by t...

The thermal inertia of a building envelope endows with heat storage capability, introducing scheduling flexibility to energy microgrid (BEM). is usually modelled as virtual (VES) and used optimize the operation BEMs reduce electricity costs. However, VES capacity impacted by varies variations in indoor/outdoor temperature. If only envelope's effect on transfer considered, without proper quantif...

The Lighthill's wave equation provides an accurate characterization of the hydrodynamic noise due to interaction between a turbulent flow and obstacle, that is needed get in many industrial applications. In present study, solve expressed as boundary integral equation, we develop efficient numerical method determine three-dimensional Green's function Helmholtz presence obstacle arbitrary shape, ...

We consider the equivalence of Lawvere theories and finitary monads on Set from the perspective of Endf (Set)-enriched category theory, where Endf (Set) is the category of finitary endofunctors of Set. We identify finitary monads with one-object Endf (Set)-categories, and ordinary categories admitting finite powers (i.e., n-fold products of each object with itself) with Endf (Set)-categories ad...