Contemporary review of techniques for the solution of nonlinear Burgers equation

被引:21
作者
Dhawan, S. [1 ]
Kapoor, S. [2 ]
Kumar, S. [1 ]
Rawat, S. [3 ]
机构
[1] Dr BR Ambedkar Natl Inst Technol, Dept Math, Jalandhar, India
[2] Indian Inst Technol, Dept Math, Roorkee, Uttar Pradesh, India
[3] Galgotias Univ, Dept Math, Greater Noida, India
关键词
Burgers equation; Simulation; Review; COMPUTATIONAL FLUID-DYNAMICS; FINITE-ELEMENT FORMULATION; LARGE-SCALE STRUCTURE; NUMERICAL-SOLUTION; DIFFERENCE SCHEME; GALERKIN METHOD; PSEUDOSPECTRAL METHOD; DISTRIBUTED CONTROL; INITIAL CONDITIONS; TURBULENCE;
D O I
10.1016/j.jocs.2012.06.003
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In the present paper, a comprehensive review of the different techniques used for solving the Burgers equation has been presented along with the recent progress going in finding its solution. The main objective of this paper is not only to present a proper assessment of the previous work but also to provide readers with all fruitful existing information that can help in numerical solution of the Burgers equation, which is otherwise difficult to solve under certain assumptions. Comments are supplied with each reference cited, in order to briefly summarize the objectives of the specific analysis and the important results therein. In addition, a brief discussion of a contribution by the authors in this field has also been presented at the end. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:405 / 419
页数:15
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