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Filter and Grid Resolution Requirements in LES via a Discontinuous Galerkin Solver

Miao, Ling (2018) Filter and Grid Resolution Requirements in LES via a Discontinuous Galerkin Solver. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

The discontinuous Galerkin (DG) methodology has proven very effective for large eddy simulation (LES) of various turbulent flows. In LES with a given discretization accuracy, two important parameters are the grid resolution $h$ and the filter size $\Delta$. In most of the previous works, the grid spacing is usually set to be proportional to the specified filter size. In this work, the DG method is combined with a subgrid scale (SGS) closure which is equivalent to that of the filtered density function (FDF). Various $\Delta/h$ ratios for LES of a two-dimensional and three-dimensional temporally developing mixing layer are considered, and a systematic parametric study is conducted to investigate the effects of grid resolution, the filter width size, and the order of the spectral discretization. Comparative assessments are made via the use of high resolution direct numerical simulation (DNS) data.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Miao, Linglim62@pitt.edulim62
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairGivi, Peymanpgivi@pitt.edupeg10
Committee CoChairSammak, ShervinSHS159@pitt.edushs159
Committee MemberBabaee, Hessameddinh.babaee@pitt.edu
Committee MemberRobertson, Annerbertson@pitt.edu
Committee MemberMassoudi, Mehrdadmehrdadm@andrew.cmu.edu
Date: 25 September 2018
Date Type: Publication
Defense Date: 2 July 2018
Approval Date: 25 September 2018
Submission Date: 20 July 2018
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 63
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: Discontinuous Galerkin; Large eddy simulation; LES filter size; Subgrid scale model; Turbulent flows; Turbulence resolution length scale
Date Deposited: 25 Sep 2018 16:40
Last Modified: 25 Sep 2018 16:40
URI: http://d-scholarship.pitt.edu/id/eprint/34951

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