A Combined Experimental and Computational Approach for the Design of Mold Topography that Leads to Desired Ingot Surface and Microstructure in Aluminum Casting.
A stabilized equal-order velocity-pressure finite element algorithm is presented for the analysis of flow in porous media and in the solidification of binary alloys. The adopted governing macroscopic conservation equations of momentum, energy and species transport are derived from their microscopic counterparts using the volume-averaging method. The analysis is performed in a single domain with a fixed numerical grid. The fluid flow scheme developed includes SUPG (streamline-upwind/Petrov-Galerkin), PSPG (pressure stabilizing/Petrov-Galerkin) and DSPG (Darcy stabilizing/Petrov-Galerkin) stabilization terms in a variable porosity medium. For the energy and species equations a classical SUPG-based finite element method is employed. The developed algorithms were tested extensively with bilinear elements and were shown to perform stably and with nearly quadratic convergence in high Rayleigh number flows in varying porosity media. Examples are shown in natural and double diffusive convection in porous media and in the directional solidification of a binary-alloy.
- Research Organization:
- Cornell Univ., Ithaca, NY (United States)
- Sponsoring Organization:
- USDOE Office of Industrial Technologies (OIT) - (EE-20)
- DOE Contract Number:
- FC36-02ID14396
- OSTI ID:
- 850515
- Report Number(s):
- DOE/ID/14396; Report 2 of 7
- Journal Information:
- International Journal for Numerical Methods in Engineering, Vol. 60, Issue 6; Conference: "A stabilized finite element method for flow in porous media and binary alloy solidification systems", Proceedings of the Seventh U.S. National Congress on Computational Mechanics (edts. Thomas Bickel et al.), presented at the Symposium on 'Stabilized and Multilength scale methods', Seventh U.S. National Congress in Computational Mechanics, Albuquerque, New Mexico, July 27--31, 2003.
- Country of Publication:
- United States
- Language:
- English
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