First steps in development of a translational non equilibrium model using maximum entropy principle

Hypersonic, Boltzmann, Translation, BGK, non equilibrium, maximum entropy

Jayaraman, Vegnesh ; Panesi ; Marco

关键词: Hypersonic, Boltzmann, Translation, BGK, non equilibrium, maximum entropy;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/106286/JAYARAMAN-THESIS-2019.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

This thesis elaborates the steps taken in the development of a model for flows that are in translational non-equilibrium. The backbone of the model relies on Boltzmann equation for gases as a starting point. Three mathematical tools - domain decomposition, moment methods similar to method of weighted residuals and maximum entropy principle are used for defining the model and developing the underlying governing equations. The underlying modeling goal was to serve as a bridge in terms of computational cost and accuracy,between high fidelity Boltzmann equations and empirically driven Navier Stokes equations. The model effectiveness is studied bysolving numerically discretized model equations for one dimensional setting . The problem studied is that of a normal shock occurring in a monoatomic gas. The various assumptions, validation tools used and problems associated with model development are elaborated.