Spectral Solvers to Non-Conservative Transport for Non-Linear Interactive Systems of Boltzmann Type

摘要

In several technological areas there is increasingly a need for analysis of problems involving a vast range of physical scales. For example, compressible Navier Stokes equations are completely adequate for understanding gas fluid flows where the length scales are large compared to the local mean free path A of fluid molecules. If the flow scales are not large compared to A, either because A itself is large if the flow is in low density state (rarefied) or because boundary conditions produce inhomogeneities resolved at small flow scales, a kinetic theory model from statistical formulations and their simulations becomes necessary.