Thermal Modeling of a Multilayered Film via Taylor Series Expansion- and Least Squares-Based-Lattice Boltzmann Method

An enhanced lattice Boltzmann scheme, Taylor series expansion- and least squares-based-lattice Boltzmann method (TLLBM), is adopted to simulate transient thermal behavior in a thin multilayer. The meshless formulation of TLLBM not only handles the changes in material properties from one layer to another, but also facilitates the general geometry handling capabilities. The energy carrier interaction at the interface is governed via diffusive mismatch model (DMM). We simulated transient thermal behavior of a hot-spot in the dual-layer by incorporating a heat source in one of the layers. The sub-continuum effect of anisotropic thermal transport is presented where the heat preferentially flows laterally in the layer with higher conductivity as its thickness is reduced. The insight into the nanoscale thermal behavior acquired via a relatively simple model will be critical for the design and operation of complex data storage and electronic systems, where thermal transport plays an active and critical role.