Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation - Mathematical PhysicsReport as inadecuate




Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation - Mathematical Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: We introduce a numerical method for solving Grad-s moment equations orregularized moment equations for arbitrary order of moments. In our algorithm,we do not need explicitly the moment equations. As an instead, we directlystart from the Boltzmann equation and perform Grad-s moment method \cite{Grad}and the regularization technique \cite{Struchtrup2003} numerically. We define aconservative projection operator and propose a fast implementation which makesit convenient to add up two distributions and provides more efficient fluxcalculations compared with the classic method using explicit expressions offlux functions. For the collision term, the BGK model is adopted so that theproduction step can be done trivially based on the Hermite expansion. Extensivenumerical examples for one- and two-dimensional problems are presented.Convergence in moments can be validated by the numerical results for differentnumber of moments.



Author: Zhenning Cai, Ruo Li

Source: https://arxiv.org/







Related documents