Deterministic Numerical Solution of the Boltzmann Transport Equation

摘要: Due to its deterministic nature, the spherical harmonics expansion method is an attractive alternative Monte Carlo for solution of Boltzmann Transport Equation purpose electronic device simulation. However, since problem posed in a six-dimensional space emerging from three-dimensional variable and momentum variable, approaches typically suffer huge memory requirements, which have prohibited their application two simulations. To reduce these high we first show that coupling resulting system partial differential equations only weak then propose new scheme lossless compression linear after discretization. This reduces overall requirements significantly paves way Numerical experiments demonstrate applicability our confirm theoretical results.