Browse > Article

Numerical Analysis of Solidification and Melting Phase Change Using Modified PISO algorithm  

Kang K. G (중앙대학교 대학원 기계공학과)
Ryou H. S (중앙대학교 기계공학부)
Hur N. (서강대학교 기계공학부)
Publication Information
Journal of computational fluids engineering / v.8, no.3, 2003 , pp. 12-20 More about this Journal
Abstract
A numerical procedure for the calculation of solidification and melting phase change using PISO algorithm is presented. In case of phase change problem, the coupling between velocity/pressure/temperature and liquid fraction is important. The converged temperature and liquid fraction solution which satisfies the energy balance is acquired by applying enthalpy method into inner iteration in matrix solver. And a modified PISO algorithm version is introduced to properly solve the coupling between velocity/pressure/temperature and liquid fraction. A comparison of the proposed procedure with a standard iterative method shows improvement both in terms of computing speed and robustness.
Keywords
PISO Algorithm; Solidification; Melting; Phase Change; Liquid Fraction; Enthalpy method;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Voller, V.R. and Swaminathan, C.R., 'General source-based method forsolidification phase change,' Numerical Heat Transfer, Part B, Vol.19, (1991), p.175-189
2 Brent, A.D., Voller, V.R. and Reid, K.J., 'Enthalpy-Porosity technique for modeling convection-diffusion phase change: Application to the melting of a pure metal,' Numerical Heat Transfer, Vol.13-1, (1988), p.295-318
3 Patankar, S.V., Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York (1980)
4 이재원, 유홍선, 강관구, 'PISO 알고리즘에서 난류예측의 후행성과 보완에 대한 연구,' 한국전산유체공학회, Vol. 7-1, (2002), p.1-9
5 Gau, C. and Viskanta, R., 'Melting and solidification of a pure metal on a vertical wall,' J. Heat Transfer, Vol.108, (1986), p.174-181
6 Issa, R.I., 'Solution of the implicitly discretised fluid flow equations by operator-splitting,' J. Computational Physics, Vol.62, (1985), p.40-65
7 Oliveira, P.J. and Issa, R.I., 'An improved PISO algorithm for the computation of buoyancy-driven flows,' Numerical Heat Transfer, Part B, Vol.40-6, (2001), p.473-493
8 Lacrox, M. and Voller, V.R., 'Finite difference solutions of solidification phase change problem: transformed versus fixed grids,' Numerical Heat Transfer, Part B, Vol.17, (1990), p.25-41
9 Voller, V.R., 'Fast implicit finite-difference method for the analysis of phase change problems,' Numerical Heat Transfer, Part B, Vol.17, (1990), p.155-169
10 Morgan, K., 'A numerical analysis of freezing and melting with convection,' Comp. Methods Appl. Eng, Vol.28, (1981), p.275-284
11 Kurz, W. and Fisher, D.J., Fundamentals of Solidification, Trans Tech Publications, Aedermannsdorf, Switzerland (1989)
12 Voller, V.R. and Prakash, C., 'A fixed grid numerical modeling methodology for convection/diffusion mushy region phase change problems,' Int. J. Heat Mass Transfer, Vol.30, (1987), p.1709-1719