ISSN:
0271-2091
Keywords:
inhomogeneous coupled Burgers equations
;
operator-splitting technique
;
cubic spline function
;
severe/moderate gradients
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
A finite difference scheme based on the operator-splitting technique with cubic spline functions is derived for solving the two-dimensional Burgers equations in ‘inhomogeneous’ form. The scheme is of first-order accuracy in time and second-order accuracy in space direction and is unconditionally stable. The numerical results are obtained with severe/moderate gradients in the initial and boundary conditions and the steady state solutions are plotted for different values of the parameters. It is concluded that the resulting scheme works very well even in the case of very severe gradient in the solution. Also, the general nature of the scheme provides a wider application in the solution of non-linear problems.
Additional Material:
4 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650201106
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