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A Novel Moving Boundary Condition Based on Chapman-Enskog Expansion with the Lattice Boltzmann Method

Xu, Lina (2015) A Novel Moving Boundary Condition Based on Chapman-Enskog Expansion with the Lattice Boltzmann Method. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

Particulate suspensions are common phenomena in industrial and biological fields. However, the fundamental understanding of the hydrodynamic interactions between the solid and fluid in the particulate suspensions needs to be further improved. The lattice Boltzmann method has been shown to be an effective numerical method to model various fluid flows, and exhibits good performance in dealing with boundary conditions, with straightforward and easy-to-implement methods for complex solid boundaries. However, most of the previous boundary conditions used for the moving complex surface are based on the half way bounce-back boundary condition, where the geometric integrity of the body cannot be maintained. In this dissertation, a new boundary condition based on the Chapman-Enskog expansion is proposed for the moving complex surface, where the precise shape of the body can be preserved during the calculation. Moreover, due to the second order accuracy of the Chapman-Enskog expansion when recovering the Navier-Stokes equation from the Boltzmann-BGK equation, the new boundary condition can maintain the same accuracy for the whole computational domain. Finally, this thesis provides the novel idea to construct a boundary condition without the limitation of being based on the information from the already existing lattice nodes.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Xu, Linalix14@pitt.eduLIX14
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairSchaefer, Lauralas149@pitt.eduLAS149
Committee MemberRobertson, AnneRBERTSON@pitt.edu RBERTSON
Committee MemberChyu, Minking mkchyu@pitt.edu MKCHYU
Committee MemberMao, Zhi-Hongzhm4@pitt.eduZHM4
Date: 28 January 2015
Date Type: Publication
Defense Date: 22 September 2014
Approval Date: 28 January 2015
Submission Date: 17 November 2014
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 121
Institution: University of Pittsburgh
Schools and Programs: Swanson School of Engineering > Mechanical Engineering
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Lattice Boltzmann method, Fluid-structure interactions, Moving boundary condition, Chapman-Enskog expansion, Galilean invariance.
Date Deposited: 28 Jan 2015 21:46
Last Modified: 15 Nov 2016 14:25
URI: http://d-scholarship.pitt.edu/id/eprint/23542

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