Phase change problems using the MLPG method

H. Thakur, K.M. Singh, P.K. Sahoo

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

This article discusses the application of the MLPG method to phase change problems. Phase change problems belong to a nonlinear class of problem due to a continuously moving interface. Apparent capacity method based on the enthalpy formulation is used here. The method of direct interpolation is employed to enforce essential boundary conditions. Function approximation is completed by using the moving least squares (MLS) method. An iterative procedure based on the predictor-corrector method has been used to handle nonlinearity. Time integration has been performed using the -method. Results have been compared with the available exact solution and the solution of the finite element method, and found to be in good agreement. Copyright © Taylor & Francis Group, LLC.
Original languageEnglish
Pages (from-to)438-458
Number of pages21
JournalNumerical Heat Transfer; Part A: Applications
Volume59
Issue number6
DOIs
Publication statusPublished - 2011

Fingerprint

predictor-corrector methods
Phase Change
least squares method
interpolation
Enthalpy
Interpolation
finite element method
enthalpy
nonlinearity
Boundary conditions
boundary conditions
Finite element method
formulations
approximation
Moving Interface
Predictor-corrector Methods
Moving Least Squares
Function Approximation
Iterative Procedure
Time Integration

Cite this

Thakur, H. ; Singh, K.M. ; Sahoo, P.K. / Phase change problems using the MLPG method. In: Numerical Heat Transfer; Part A: Applications. 2011 ; Vol. 59, No. 6. pp. 438-458.
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Phase change problems using the MLPG method. / Thakur, H.; Singh, K.M.; Sahoo, P.K.

In: Numerical Heat Transfer; Part A: Applications, Vol. 59, No. 6, 2011, p. 438-458.

Research output: Contribution to journalArticle

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