Open Access

ARTICLE

Inverse Analysis of Solidification Problems Using the Mesh-Free Radial Point Interpolation Method

A. Khosravifard¹, M.R. Hematiyan^1,2
1 Department of Mechanical Engineering, Shiraz University, Shiraz, Iran.
2 Corresponding author. Address: Department of Mechanical Engineering, Shiraz University, Shiraz, Iran. Tel.: +98 711 6133149; fax: +98 711 6473511. E-mail addresses: khosravi-fard@shirazu.ac.ir (A. Khosravifard), mo.hematiyan@gmail.com, mhemat@shirazu.ac.ir (M.R.Hematiyan)

Computer Modeling in Engineering & Sciences 2011, 78(3&4), 185-208. https://doi.org/10.3970/cmes.2011.078.185

Abstract

An inverse method for optimal control of the freezing front motion in the solidification of pure materials is presented. The inverse technique utilizes the idea of a pseudo heat source to account for the latent heat effects. The numerical formulation of this inverse method is based on a formerly introduced meshless technique. In this method, the flux and the velocity of the liquid-solid interface are treated as secondary variables and the liquid and solid domains are modeled simultaneously. Some numerical examples are provided to demonstrate the efficiency of the presented method. The effects of regularization and the number of nodes of the proposed meshless method are investigated in the examples.

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Keywords

Inverse analysis, Solidification, Meshless methods, pseudo heat source

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