Numerical solution of coupled burgers equations in inhomogeneous form

✍ Scribed by Rama Shankar; T. V. Singh; Anwar A. Bassaif

• Publisher: John Wiley and Sons
• Year: 1995
• Tongue: English
• Weight: 412 KB
• Volume: 20
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1650201106

✦ Synopsis

Abstract

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.