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Multi-Group Maximum Entropy Model for Translational Non-Equilibrium
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Author and Affiliation:
Jayaraman, Vegnesh(Illinois Univ. at Urbana-Champaign, Urbana, IL, United States)
Liu, Yen(NASA Ames Research Center, Moffett Field, CA, United States)
Panesi, Marco(Illinois Univ. at Urbana-Champaign, Urbana, IL, United States)
Abstract: The aim of the current work is to describe a new model for flows in translational non- equilibrium. Starting from the statistical description of a gas proposed by Boltzmann, the model relies on a domain decomposition technique in velocity space. Using the maximum entropy principle, the logarithm of the distribution function in each velocity sub-domain (group) is expressed with a power series in molecular velocity. New governing equations are obtained using the method of weighted residuals by taking the velocity moments of the Boltzmann equation. The model is applied to a spatially homogeneous Boltzmann equation with a Bhatnagar-Gross-Krook1(BGK) model collision operator and the relaxation of an initial non-equilibrium distribution to a Maxwellian is studied using the model. In addition, numerical results obtained using the model for a 1D shock tube problem are also reported.
Publication Date: Jun 05, 2017
Document ID:
20170011059
(Acquired Nov 19, 2017)
Subject Category: AERONAUTICS (GENERAL); NUMERICAL ANALYSIS
Report/Patent Number: ARC-E-DAA-TN43964
Document Type: Conference Paper
Meeting Information: AIAA Aviation 2017; 5-9 Jun. 2017; Denver, CO; United States
Meeting Sponsor: American Inst. of Aeronautics and Astronautics; Reston, VA, United States
Contract/Grant/Task Num: NNX15AU44G
Financial Sponsor: NASA Ames Research Center; Moffett Field, CA, United States
Organization Source: NASA Ames Research Center; Moffett Field, CA, United States
Description: 13p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright; Public use permitted
NASA Terms: DISTRIBUTION FUNCTIONS; MAXIMUM ENTROPY METHOD; BOLTZMANN TRANSPORT EQUATION; POWER SERIES; COLLISIONS; SHOCK TUBES; DECOMPOSITION; LOGARITHMS
Other Descriptors: MULTI-GROUP; ENTROPY; TRANSLATIONAL
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