First steps in development of a translational non equilibrium model using maximum entropy principle
Jayaraman, Vegnesh
Loading…
Permalink
https://hdl.handle.net/2142/106286
Description
Title
First steps in development of a translational non equilibrium model using maximum entropy principle
Author(s)
Jayaraman, Vegnesh
Issue Date
2019-12-11
Director of Research (if dissertation) or Advisor (if thesis)
Panesi, Marco
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Hypersonic, Boltzmann, Translation, BGK, non equilibrium, maximum entropy
Abstract
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 by solving 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.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
