PHASE CHANGE PROBLEMS USING THE MLPG METHOD
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Author list: Thakur H, Singh KM, Sahoo PK
Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles
Place: PHILADELPHIA
Publication year: 2011
Journal: Numerical Heat Transfer, Part A Applications (1040-7782)
Journal acronym: NUMER HEAT TR A-APPL
Volume number: 59
Issue number: 6
Start page: 438
End page: 458
Number of pages: 21
ISSN: 1040-7782
eISSN: 1521-0634
Languages: English-Great Britain (EN-GB)
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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 theta-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.
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