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	Properties of the Eulerian-Lagrangian method using linear interpolators in a three-dimensional shallow water model using z-level coordinates
	Hu, Dechao ; Zhang, Hongwu ; Zhong, Deyu
	2010-10-12 ; 2010-10-12
关键词	numerical methods Eulerian-Lagrangian error analysis turbulence properties artificial resistance improved ELM LOCALIZED ADJOINT METHOD FINITE-ELEMENT METHOD DISPERSION EQUATION TRANSPORT TRACKING SCHEMES VOLUME Mechanics Physics, Fluids & Plasmas
中文摘要	We investigate the impact of the inexact interpolation on the Eulerian-Lagrangian solution of the advection equation by combining numerical experiments and formal analysis. The simulations, respectively, using the Eulerian-Lagrangian method (ELM) and the upwind scheme are compared. The artificial resistance of the ELM is observed which is characterised by the higher free-surface elevation and the distorted turbulent properties at a smaller time step. Through analysis, we find that the abnormalities are caused by the fact the conventional linear interpolation does not adapt well to the nonlinear velocity distribution, which produces an advection computation error that increases with a decreasing time step. The phenomena are explained and an improved method ELM is proposed based on the illustrations and analysis. The new method combines the face-controlled interpolation and the adjustable sub time steps to skip the large computation error domain in the backtracking, and it is validated by the original test case.
语种	英语 ; 英语
出版者	TAYLOR & FRANCIS LTD ; ABINGDON ; 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81966]
专题	清华大学
推荐引用方式 GB/T 7714	Hu, Dechao,Zhang, Hongwu,Zhong, Deyu. Properties of the Eulerian-Lagrangian method using linear interpolators in a three-dimensional shallow water model using z-level coordinates[J],2010, 2010.
APA	Hu, Dechao,Zhang, Hongwu,&Zhong, Deyu.(2010).Properties of the Eulerian-Lagrangian method using linear interpolators in a three-dimensional shallow water model using z-level coordinates..
MLA	Hu, Dechao,et al."Properties of the Eulerian-Lagrangian method using linear interpolators in a three-dimensional shallow water model using z-level coordinates".(2010).

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