17中英文双语外文文献翻译成品：高阶时间行进式局部水平集函数的重新初始化

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1、外文标题： High-order time-marching reinitialization for regional level-set functions 外文作者： Shucheng Pan, Xiuxiu Lyu, Xiangyu Y. Hu , Nikolaus A. Adams 文献出处： Journal of Computational Physics  , 2017 , 354 英文 4879 单词， 23887 字符，中文 7482 汉字。  此文档是外文翻译成品，无需调整复杂的格式哦！下载之后直接可 用，方便快捷！只需二十多元。  High-

2、order time-marching reinitialization for regional level-set functions Shucheng Pan, Xiuxiu Lyu, Xiangyu Y. Hu , Nikolaus A. Adams Abstract In this work, the time-marching reinitialization method is extended to compute the unsigned distance function in multi-region system s involving arbitrary number

3、 of regions. High order and interface preservation are achieved by applying a simple mapping that transform s the regional level-set function to the level-set function and a high-order two- step reinitialization method which is a combination of the closest point nding procedure and the HJ-WENO schem

4、e. The convergence failure of the closest point nding procedure in three dimensions is addressed by employing a proposed multiple junction treatment and a directional optimization algorithm. Simple test cases show that our method exhibits 4th-order accuracy for reinitializing the regional level-set

5、functions and strictly satises the interface-preserving property. The reinitialization results for m ore complex cases with randomly generated diagram s show the capability our method for arbitrary number of regions N , with a computational effort independent of N . The proposed method has been appl

6、ied to dynamic interfaces with different types of ows, and the results demonstrate high accuracy and robustness. Keywords: Reinitialization , Regional level-set function, High-order accuracy, Interface preserving Introduction The level-set method 15 is a well-established interface-capturing method and is being widely used for multip hase ow co mp utation, image processing and computer vision 14. A reinitialization process is emp loyed to rep lace the distorted level-set functio n 0 : Rd  R dur