Abstract
Two dimensional mixed flows of buoyant and thermocapillary convection are investigated by the spectral element method (SEM). The Navier–Stokes equations are solved based on a spectral element discretization with Chebyshev and Legendre polynomials. The semi-implicit time-splitting method is employed for temporal discretization. Finally, the SEM is applied to solve two dimensional mixed flows of buoyant and thermocapillary convection. After qualitative and quantitative comparisons between the SEM and finite volume method (FVM), it is found that the numerical solutions agree closely with the reference data. In addition, exhaustive sources of errors are given. These numerical results reveal that incompressible fluid flow with free surface can be accurately solved by the SEM.
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Acknowledgment
This work is supported by the National Natural Science Foundation of China (Grant No. 10872222), Chongqing Natural Science Foundation (Grant No. 2009BB4207) and Fundamental Research Funds for the Central Universities (No. CDJXS10 241103).
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Mei, H., Zeng, Z., Qiu, Z., Yao, L., Li, L. (2013). Numerical Simulations of Two Dimensional Mixed Flows of Buoyant and Thermocapillary Convection in Crystal Growth. In: Zhong, Z. (eds) Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012. Lecture Notes in Electrical Engineering, vol 216. Springer, London. https://doi.org/10.1007/978-1-4471-4856-2_35
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DOI: https://doi.org/10.1007/978-1-4471-4856-2_35
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