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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50005

Title: On an equal 4th-order accurate temporal/spatial scheme for convection-diffusion equation
Authors: W. H. Sheu
R. K. Lin
Contributors: 國立臺灣海洋大學:輪機工程學系
Date: 2007-01
Issue Date: 2018-09-07T02:24:00Z
Publisher: Numerical Heat Transfer. Part B: Fundamentals
Abstract: Abstract: In this article, the convection-diffusion equation is discretized using the Pade method for the temporal derivative term and the wavenumber-extended method for the spatial derivative term. These temporal and spatial approximations result in two explicit equations and two implicitly coupled equations. To construct an equal-order scheme for the solution obtained at n Dt, both temporal=spatial derivatives are approximated to render fourth-order accuracy without using solutions obtained previously at ðn À 2Þ Dt, ðn À 3Þ Dt, etc. When approxi-mating the first-order derivative term, it is essential to take the upwind nodal points into consideration. For revealing the dispersion and dissipation natures of the proposed scheme, both von Neumann (Fourier) and dispersion analyses were conducted. We validate the pro-posed method by solving several problems that are amenable to exact solutions. Results with theoretical rates of convergence are obtained for each of the one-and two-dimensional problems investigated.
Relation: 51(1)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50005
Appears in Collections:[輪機工程學系] 期刊論文

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