Inflow-Implicit/Outflow-Explicit Scheme for Solving Advection Equations

Author(s):  
Karol Mikula ◽  
Mario Ohlberger
Keyword(s):  
2008 ◽  
Vol 25 (7) ◽  
pp. 2335-2338 ◽  
Author(s):  
Wang Hui-Ping ◽  
Wang Yu-Shun ◽  
Hu Ying-Ying

Author(s):  
Ganesh Hegde ◽  
Madhu Gattumane

Improvement in accuracy without sacrificing stability and convergence of the solution to unsteady diffusion heat transfer problems by computational method of enhanced explicit scheme (EES), has been achieved and demonstrated, through transient one dimensional and two dimensional heat conduction. The truncation error induced in the explicit scheme using finite difference technique is eliminated by optimization of partial derivatives in the Taylor series expansion, by application of interface theory developed by the authors. This theory, in its simple terms gives the optimum values to the decision vectors in a redundant linear equation. The time derivatives and the spatial partial derivatives in the transient heat conduction, take the values depending on the time step chosen and grid size assumed. The time correction factor and the space correction factor defined by step sizes govern the accuracy, stability and convergence of EES. The comparison of the results of EES with analytical results, show decreased error as compared to the result of explicit scheme. The paper has an objective of reducing error in the explicit scheme by elimination of truncation error introduced by neglecting the higher order terms in the expansion of the governing function. As the pilot examples of the exercise, the implementation is aimed at solving one-dimensional and two-dimensional problems of transient heat conduction and compared with the results cited in the referred literature.


Author(s):  
Soraya Moreno Espinosa

RESUMENEste artículo presenta un resumen de tendencias dentro de la enseñanza y evaluación de Inglés como Lengua Extranjera/ Inglés como Segunda Lengua, centrándose en el papel del léxico en las mismas. Este hecho nos permite proporcionar un esquema explícito, en el que relacionamos las tendencias existentes dentro de la enseñanza de vocabulario como L2 y de evaluación del mismo a lo largo de la historia; lo que beneficiará tanto al profesorado como a los investigadores que hagan referencia a la fundamentación teórica de este campo desde un punto de vista diacrónico al realizar diversas investigaciones.ABSTRACTThis paper presents an overview of tendencies within EFL/ESL instruction and testing, by focusing on the role assigned to lexis. This issue enables us to provide an explicit scheme relating historical vocabulary approaches to L2 teaching and testing, which will benefit teachers and researchers when aiming to set the theoretical foundations -from a diachronic viewpoint- of different probes within this field.


Author(s):  
Keita OGASAWARA ◽  
Mitsuteru ASAI ◽  
Mikito FURUICHI ◽  
Daisuke NISHIURA

2011 ◽  
Vol 374-377 ◽  
pp. 378-381
Author(s):  
Ming Qin Liu ◽  
Yu Ling Liu ◽  
Wen Li Wei

This paper is concerned with a new numerical method of two-dimensional flow. The governing system of differential equations is transformed into an equivalent system applied over a square-grid network in order to overcome the difficulties and inaccuracies associated with the determination of characteristics near the flow boundaries. The MacCormack two-step explicit scheme with second-order accuracy is used for the solution of the transformed system of equations. The present numerical model has been used to numerically compute flow in sharply curved channel.


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