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	Application of High Dimensional B-Spline Interpolation in Solving the Gyro-Kinetic Vlasov Equation Based on Semi-Lagrangian Method
	Xiao, Xiaotao1; Ye, Lei1; Xu, Yingfeng1; Wang, Shaojie2
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2017-09-01
卷号	22期号:3页码:789-802
关键词	High Dimensional Interpolation Semi-lagrangian Gyro-kinetic Simulation Numerical-lie Transform
DOI	10.4208/cicp.OA-2016-0092
文献子类	Article
英文摘要	The computation efficiency of high dimensional (3D and 4D) B-spline interpolation, constructed by classical tensor product method, is improved greatly by precomputing the B-spline function. This is due to the character of NLT code, i.e. only the linearised characteristics are needed so that the unperturbed orbit as well as values of the B-spline function at interpolation points can be precomputed at the beginning of the simulation. By integrating this fixed point interpolation algorithm into NLT code, the high dimensional gyro-kinetic Vlasov equation can be solved directly without operator splitting method which is applied in conventional semi-Lagrangian codes. In the Rosenbluth-Hinton test, NLT runs a few times faster for Vlasov solver part and converges at about one order larger time step than conventional splitting code.
WOS关键词	CODE ; SIMULATION ; TURBULENCE
WOS研究方向	Physics
语种	英语
WOS记录号	WOS:000404993500008
资助机构	National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National Natural Science Foundation of China(11105185 ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; National ITER program of China(2014GB113000) ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11505240 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11405174 ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196) ; 11375196)
内容类型	期刊论文
源URL	[http://ir.hfcas.ac.cn:8080/handle/334002/33445]
专题	合肥物质科学研究院_中科院等离子体物理研究所
作者单位	1.Chinese Acad Sci, Inst Plasma Phys, Hefei 230031, Anhui, Peoples R China 2.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
推荐引用方式 GB/T 7714	Xiao, Xiaotao,Ye, Lei,Xu, Yingfeng,et al. Application of High Dimensional B-Spline Interpolation in Solving the Gyro-Kinetic Vlasov Equation Based on Semi-Lagrangian Method[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2017,22(3):789-802.
APA	Xiao, Xiaotao,Ye, Lei,Xu, Yingfeng,&Wang, Shaojie.(2017).Application of High Dimensional B-Spline Interpolation in Solving the Gyro-Kinetic Vlasov Equation Based on Semi-Lagrangian Method.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,22(3),789-802.
MLA	Xiao, Xiaotao,et al."Application of High Dimensional B-Spline Interpolation in Solving the Gyro-Kinetic Vlasov Equation Based on Semi-Lagrangian Method".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 22.3(2017):789-802.

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