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
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 , 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.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
