A fixed-grid numerical method for dendritic solidification with natural convection
In this work, the author has begun the process of developing a general tool for the investigation of dendritic solidification. He has constructed several front tracking/fixed (Eulerian) grid, staggered mesh schemes capable of simulating periodic problems with moving boundaries. In particular, he developed methods capable of simulating: (1) the flow of an incompressible fluid through an irregular domain with fixed or deforming boundaries; (2) the dendritic solidification of a pure substance in the absence of convection; and (3) the dendritic solidification of a pure substance in the presence of natural convection. All of these methods are based upon a common discretization technique which is a generalization of the immersed interface method of LeVeque and Li. While this work is exclusively focused on second order accurate solutions, the discretization approach that the author developed is capable of generating arbitrarily accurate stencils. He checked the accuracy of all the numerical schemes using exact and approximate solutions. In every case, second order accuracy is observed.
- Research Organization:
- California Inst. of Technology, Pasadena, CA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research, Washington, DC (United States)
- DOE Contract Number:
- FG03-89ER25073
- OSTI ID:
- 334220
- Report Number(s):
- DOE/ER/25073--T4-Pt.2
- Country of Publication:
- United States
- Language:
- English
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