유체 유동을 동반한 다핵 수치상결정의 미세구조성장에 대한 수치해석적 연구

다국어 초록 (Multilingual Abstract)

Most material of engineering interest undergoes solidification process from liquid state. Identifying the underlying mechanism during solidification process is essential to determine the microstructure of material thus the physical properties of final product. In this paper, effect of fluid convection on the dendrite solidification morphology is studied using Level Contour Reconstruction Method. Sharp interface technique is used to implement correct boundary condition for moving solid interface. The results showed good agreement with exact boundary integral solution and compared well with other numerical techniques. Effects of Peclet number and undercooling on growth of dendrite tip of both single and multiple seeds have been also investigated.

목차 (Table of Contents)

• Abstract
• 1. 서론
• 2. 수치 해석 방법
• 3. 결과 및 토의
• 4. 결론
• 후기
• 참고문헌

참고문헌 (Reference)

1 Tonhardt, R., "Phase-Field Simulaiton of Dendritica Growth in an Shear Flow" 194 : 406-, 1998

2 Karma, A, "Phase-Field Method for Computationally Efficient Modeling of Solidification with Arbitrary Interface Kinetics" 53 (53): 3017-, 1996

3 Jeong, J.-H., "Phase Field Model for Three-Dimensional Dendritic Growth with Fluid Flow" 64 (64): 041602-, 2001

4 Chorin, J., "Numerical Solution of the Navier-Stokes Equations" 22 : 745-762, 1968

5 Al-Rawahi, N., "Numerical Simulation of Dendritic Solidification with Convection: Two-Dimensional Flow" 180 : 471-496, 2002

6 Harlow, F. H., "Numerical Calculation of Time Dependent Viscous Incompressible Flow of Fluid with Free Surface" 8 : 2182-2189, 1965

7 Shin, S., "Modeling Three- Dimensinal Multiphase Flow Using a Lovel Contour Reconstruction Method for Front Tracking Without Connectivity" 180 : 427-470, 2002

8 Beckerman, C., "Modeling Melt Convection in Phase-Field Simulations of Silidificaiton" 154 : 468-, 1999

9 Swarztrauber, P. N., "Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations" 5 (5): 352-364, 1979

10 Jeong, J.-H., "Dendritic Growth with Fluid Flow in Pure Materials" 34 (34): 459-466, 2003

11 Glicksman, M. E., "Convective Heat Transfer During Dendritic Growth, in Convective Transport and Instability Phenomena" Braun 557-, 1982

12 Carslaw, H. S., "Conduction of Heat in Solid" Clarendon 1959

13 Udaykumar, H. S., "Computation of Solid-Liquid Phase Fronts in the Sharp Interface Limit on Fixed Grids" 153 : 565-574, 1999

14 Shin, S., "Accurate Representation of Surface Tension Using Level Contour Reconstruction Method" 203 : 493-516, 2005

15 Fedkiw, R. P., "A Non-Iscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)" 152 : 457-, 1999

16 Tryggvson, G., "A Front Tracking Method for the Computations of Multiphase Flow" 169 : 708-759, 2001