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Modeling Dendritic Solidification under Melt Convection Using Lattice Boltzmann and Cellular Automaton Methods

Dorari, Elaheh
http://rave.ohiolink.edu/etdc/view?acc_num=akron1564494277351299

Abstract Details

2019, Doctor of Philosophy, University of Akron, Mechanical Engineering.
This dissertation presents the development of a numerical model based on lattice Boltzmann (LB) and cellular automaton (CA) methods that is able to model dendritic solidification under melt convection in a computationally efficient manner. First, a new variation of the LB method is devised to address the wide range of time scales present in the transport phenomena occurring during solidification of metallic alloys. The new LB model, called multiple-grid LB, uses a separate spatial grid and time step to solve for each transport equation, achieving significantly higher stability and computational efficiency than traditional single-grid LB methods. The resulting computational efficiency and stability in modeling two and three-dimensional simulations of dendritic solidification are discussed and evaluated for potential application to large-scale simulations. Furthermore, the simulation of buoyancy-induced flow during directional solidification of several 3D dendrites in thin samples are attempted in combination with an accelerated high-performance Message Passing Interface (MPI) parallel computing algorithm. The interplay between directional solidification morphology and melt flow pattern is studied for two different alloy systems, Al-Cu and Pb-Sn. The effects of cooling rate on solidification morphology, flow pattern, primary arm spacing, and freckle initiation resulting from plume-type convection are discussed.
Sergio Felicelli, PhD (Advisor)
Mohsen Eshraghi, PhD (Advisor)
Guo-Xiang Wang, PhD (Committee Member)
Craig Menzemer , PhD (Committee Member)
Kevin Kreider , PhD (Committee Member)
103 p.
Mechanical Engineering
Dendritic Growth; Solidification; Lattice Boltzmann; Cellular Automaton; Multiple-Grid

Recommended Citations

Citations

  • Dorari, E. (2019). Modeling Dendritic Solidification under Melt Convection Using Lattice Boltzmann and Cellular Automaton Methods [Doctoral dissertation, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1564494277351299

    APA Style (7th edition)

  • Dorari, Elaheh. Modeling Dendritic Solidification under Melt Convection Using Lattice Boltzmann and Cellular Automaton Methods. 2019. University of Akron, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1564494277351299.

    MLA Style (8th edition)

  • Dorari, Elaheh. "Modeling Dendritic Solidification under Melt Convection Using Lattice Boltzmann and Cellular Automaton Methods." Doctoral dissertation, University of Akron, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=akron1564494277351299

    Chicago Manual of Style (17th edition)

akron1564494277351299
541
© 2019, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.