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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50008

Title: On a high-order Newton linearization method for solving the incompressible Navier-Stokes equations
Authors: W. H. Sheu
R. K. Lin
Contributors: 國立臺灣海洋大學:輪機工程學系
Date: 2005-03
Issue Date: 2018-09-07T02:55:02Z
Publisher: International Journal for Numerical Methods in Engineering
Abstract: Abstract: The present study aims to accelerate the non‐linear convergence to incompressible Navier–Stokes solution by developing a high‐order Newton linearization method in non‐staggered grids. For the sake of accuracy, the linearized convection–diffusion–reaction finite‐difference equation is solved line‐by‐line using the nodally exact one‐dimensional scheme. The matrix size is reduced and, at the same time, the CPU time is considerably saved owing to the reduction of stencil points. This Newton linearization method is computationally efficient and is demonstrated to outperform the classical Newton method through computational exercises. Copyright © 2005 John Wiley & Sons, Ltd.
Relation: 62(11) pp.1559-1578
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50008
Appears in Collections:[輪機工程學系] 期刊論文

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