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An improved two-dimensional unstructured CE/SE scheme for capturing shock waves |
| Fu Zheng(付峥)a and Liu Kai-Xin(刘凯欣)ab† |
a. LTCS and Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China;
b. Center for Applied Physics and Technology, Peking University, Beijing 100871, China |
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Abstract In this paper, the accuracy of Chang's unstructured space-time conservation element and solution element (CE/SE) scheme is analysed for the first time. Based on a redefinition of conservation elements and solution elements, an improved two-dimensional (2D) unstructured CE/SE scheme with an adjustable parameter β is proposed to accurately capture shock waves. The new scheme can be applied to any type of grid without special treatment. Compared with Chang's original parameter $\alpha$, larger β dose not cost extra computational resources. Numerical tests reveal that the new scheme is not only clear in physical concept, compact and highly accurate but also more capable of capturing shock waves than the popular fifth-order accurate weighted essentially non-oscillatory scheme.
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Received: 11 November 2011
Revised: 19 December 2011
Accepted manuscript online:
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PACS:
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02.60.Cb
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(Numerical simulation; solution of equations)
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47.40.-x
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(Compressible flows; shock waves)
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| Fund: Project supported by the National Natural Science Foundation of China(Grant Nos.10732010 and 10972010) |
Corresponding Authors:
Liu Kai-Xin, E-mail:kliu@pku.edu.cn
E-mail: kliu@pku.edu.cn
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Cite this article:
Fu Zheng(付峥) and Liu Kai-Xin(刘凯欣) An improved two-dimensional unstructured CE/SE scheme for capturing shock waves 2012 Chin. Phys. B 21 040202
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