...: Zhuomin Zhang. 18 01 2013 12 08 2014 11 11 2014 Sequential numerical solution methods are commonly used for solving the phonon Boltzmann transport equation (BTE) because of simplicity of implementation and low storage requirements. However, they exhibit poor convergence for low...

... . In the BTE, a boundary condition is only required for energy incoming to the domain (emitted from the boundary). Energy outgoing from the domain to the boundary is “upwinded” and no boundary condition is necessary. For the MFE, using the given wall temperature would fail to account for temperature jumps...

...Arpit Mittal; Sandip Mazumder A generalized form of the ballistic-diffusive equations (BDEs) for approximate solution of the Boltzmann Transport equation (BTE) for phonons is formulated. The formulation presented here is new and general in the sense that, unlike previously published formulations...

... and presented as a discrete formulation of the BTE. The dispersion LBM explicitly includes the contributions of phonon dispersion and polarization effects, thus not requiring the use of simplifying assumptions such as Debye modeling of phonons. The dispersion LBM is used to predict the transient thermal...

...Sreekant V. J. Narumanchi; Jayathi Y. Murthy; Cristina H. Amon The problem of self-heating in microelectronic devices has begun to emerge as a bottleneck to device performance. Published models for phonon transport in microelectronics have used a gray Boltzmann transport equation (BTE) and do...