Peridynamic modeling for multiscale heat transport of phonon Boltzmann transport equation

Phonons are the main carriers in semiconductor materials, and the Boltzmann transport equation (BTE) can describe the phonon heat transport well. Numerically solving the phonon BTE is a challenging task due to its high dimensionality and nonlinearity. In this work, we develop a Peridynamic model for steady-state phonon heat transport of phonon Boltzmann transport equation based on the Peridynamic differential operator (PDDO). The effectiveness of Peridynamic modeling has been demonstrated by solving a range of phonon transport problems in 1D, 2D, and 3D geometries. The algorithm is easy to parallelize and implement, showing great promises for the numerical simulation of complex structures.