A High-Order Finite-Difference Scheme with a Linearization Technique for Solving of Three-Dimensional Burgers Equation

被引：0

作者：

Campos, M. D. ^{[1
]}

Romao, E. C. ^{[2
]}

机构：

[1] UFMT, CUA, ICET, Barra Do Garcas, MT, Brazil

[2] USP EEL, Lorena, SP, Brazil

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2014年 / 103卷 / 03期

关键词：

Burgers equations; High-order Finite Difference Method; linearization technique; NEWTON LINEARIZATION; NUMERICAL-SOLUTION;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The objective of this paper aims to present a numerical solution of high accuracy and low computational cost for the three-dimensional Burgers equations. It is a well-known problem and studied the form for one and two-dimensional, but still little explored numerically for three-dimensional problems. Here, by using the High-Order Finite Difference Method for spatial discretization, the Crank-Nicolson method for time discretization and an efficient linearization technique with low computational cost, two numerical applications are used to validate the proposed formulation. In order to analyze the numerical error of the proposed formulation, an unpublished exact solution was used.

引用

页码：139 / 154

页数：16

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