A Spectral Element Method for the Numerical Simulation of Axisymmetric Flow in Czochralski Crystal Growth

Abstract:

In this paper, a spectral element method (SEM) is applied to simulate the axisymmetric flow in Czochralski crystal growth. The coordinate singularity for 1/r at r=0 is avoided by using the Gauss-Radau type quadrature points for the spatial discretization. The SEM solver is validated by its application to the benchmark problems suggested by Wheeler [1]. The stream function is solved by an artificial Poisson equation with the present method. The results show that it agrees well with available data in the literatures.

• Periodical: Advanced Materials Research (Volumes 452-453)
• Pages: 1195-1199
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.452-453.1195
• Online since: January 2012
• Authors: Zhou Hua Qiu, Zhong Zeng, Huan Mei, Li Ping Yao, Qiu Ming Liu
• Keywords: Axisymmetric Flow, Czochralski Growth, Gauss-Radau, Spectral Element Method

References

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DOI: 10.1007/978-3-642-84108-8

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