Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations

doi:10.1016/j.amc.2010.09.045

IOCAS-IR > 海洋环流与波动重点实验室

	Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations
	Ma, Libin 1,2,3; Mo, Zeyao 4; Xu, Xiaowen 4
	2010-12-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
卷号	217 期号:8 页码:3853-3868
文章类型	Article
摘要	In this paper, we consider the properties of monotonicity-preserving and global conservation- preserving for interpolation operators. These two properties play important role when interpolation operators used in many real numerical simulations. In order to attain these two aspects, we propose a one-dimensional (1D) new cubic spline, and extend it to two-dimensional (2D) using tensor-product operation. Based on discrete convolution, 1D and 2D quasi-interpolation operators are presented using these functions. Both analysis and numerical results show that the interpolation operators constructed in this paper are monotonic and conservative. In particular, we consider the numerical simulations of 2D Euler equations based on the technique of structured adaptive mesh refinement (SAMR). In SAMR simulations, effective interpolators are needed for information transportation between the coarser/finer meshes. We applied the 2D quasi-interpolation operator to this environment, and the simulation result show the efficiency and correctness of our interpolator. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Quasi-interpolation Operator Monotonicity-preserving Property Conservation-preserving Property Samr Simulation
DOI	10.1016/j.amc.2010.09.045
收录类别	SCI
语种	英语
WOS记录号	WOS:000284600700017
引用统计
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/32743
专题	海洋环流与波动重点实验室
作者单位	1.Chinese Acad Sci, Key Lab Ocean Circulat & Waves, Inst Oceanol, Qingdao 266071, Shandong, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China 3.China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China 4.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
第一作者单位	海洋环流与波动重点实验室
推荐引用方式 GB/T 7714	Ma, Libin,Mo, Zeyao,Xu, Xiaowen. Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,217(8):3853-3868.
APA	Ma, Libin,Mo, Zeyao,&Xu, Xiaowen.(2010).Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations.APPLIED MATHEMATICS AND COMPUTATION,217(8),3853-3868.
MLA	Ma, Libin,et al."Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations".APPLIED MATHEMATICS AND COMPUTATION 217.8(2010):3853-3868.

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