Full metadata
Title
A collation and analysis of two-dimensional unsplit conservative advection methods for volume of fluid at interfaces
Description
The goal of this paper was to do an analysis of two-dimensional unsplit mass and momentum conserving Finite Volume Methods for Advection for Volume of Fluid Fields with interfaces and validating their rates of convergence. Specifically three unsplit transport methods and one split transport method were amalgamated individually with four Piece-wise Linear Reconstruction Schemes (PLIC) i.e. Unsplit Eulerian Advection (UEA) by Owkes and Desjardins (2014), Unsplit Lagrangian Advection (ULA) by Yang et al. (2010), Split Lagrangian Advection (SLA) by Scardovelli and Zaleski (2003) and Unsplit Averaged Eulerian-Lagrangian Advection (UAELA) with two Finite Difference Methods by Parker and Youngs (1992) and two Error Minimization Methods by Pilliod Jr and Puckett (2004). The observed order of accuracy was first order in all cases except when unsplit methods and error minimization methods were used consecutively in each iteration, which resulted in second-order accuracy on the shape error convergence. The Averaged Unsplit Eulerian-Lagrangian Advection (AUELA) did produce first-order accuracy but that was due to a temporal error in the numerical setup. The main unsplit methods, Unsplit Eulerian Advection (UEA) and Unsplit Lagrangian Advection (ULA), preserve mass and momentum and require geometric clipping to solve two-phase fluid flows. The Unsplit Lagrangian Advection (ULA) can allow for small divergence in the velocity field perhaps saving time on the iterative solver of the variable coefficient Poisson System.
Date Created
2019
Contributors
- Ansari, Adil (M.S.) (Author)
- Herrmann, Marcus (Thesis advisor)
- Peet, Yulia (Committee member)
- Huang, Huei-Ping (Committee member)
- Arizona State University (Publisher)
Topical Subject
Extent
ix, 56 pages : color illustrations
Language
eng
Copyright Statement
In Copyright
Primary Member of
Peer-reviewed
No
Open Access
No
Handle
https://hdl.handle.net/2286/R.I.53751
Statement of Responsibility
by Adil Ansari
Description Source
Viewed on October 15, 2020
Level of coding
full
Note
thesis
Partial requirement for: M.S., Arizona State University, 2019
bibliography
Includes bibliographical references (pages 45-46)
Field of study: Mechanical engineering
System Created
- 2019-05-15 12:31:37
System Modified
- 2021-08-26 09:47:01
- 3 years 2 months ago
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