Abstract
OpenFOAM is a widely used numerical simulation software, and Discontinuous Galerkin method (DGM), a high-order numerical method, has been developed on OpenFOAM. In order to obtain meaningful numerical simulations, curve boundary is needed, but it has not been implemented on OpenFOAM. In this paper, based on codeStream function of original OpenFOAM, we design and implement curve boundary interface with reference to the interface of original OpenFOAM, so that users can use C++ code to describe curve boundary. Furthermore, in order to move the high-order points on the linear boundary to the curve boundary, we propose an algorithm to move each high-order point to a specific position on the curve, where the normal of this position passes through the origin point. Experimental results based on the flow around a cylinder show that curve boundary is needed by DGM numerical simulation, and DGM high-order simulation is much more efficient than DGM low-order. Typically, when the error of drag coefficient is about 0.03, the DGM high-order can save \(89.6\%\) time cost and \(83.0\%\) memory cost.
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Acknowledgments
The authors would like to thank the National Key Research and Development Program of China (No. 2016YFB0201301), Science Challenge Project (No. JCKY2016212A502) and the open fund from the State Key Laboratory of High Performance Computing (Grant No. 201503-01 and 201503-02).
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Feng, Y., Xu, X., Tang, Y., Xu, L., Zhang, Y. (2017). The Curve Boundary Design and Performance Analysis for DGM Based on OpenFOAM. In: Ibrahim, S., Choo, KK., Yan, Z., Pedrycz, W. (eds) Algorithms and Architectures for Parallel Processing. ICA3PP 2017. Lecture Notes in Computer Science(), vol 10393. Springer, Cham. https://doi.org/10.1007/978-3-319-65482-9_18
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DOI: https://doi.org/10.1007/978-3-319-65482-9_18
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